Answers
Answer:
x = 43
Step-by-step explanation:
Since these angles are inside a right angle, we know their sums are complementary (they add up to 90°.)
x + x + 4 = 90
2x + 4 = 90 | Combine x's
2x = 86 | Subtract 4 from both sides
x = 43 | Divide both sides by 2
Related Questions
it takes 4.5 ounces to my a copper pipe fitting. American pipe estimates they produce an average of 25.4 fittings per week. How much copper will it take to make fittings for the whole year?
Answers
4.5 x 25.4 = 114.3 ounces used per week
52 weeks/year
114.3 x 52 = 5,943.6 ounces of copper
what happened to tansen when he sang the deepak raga with great vigour
[tex]7x5[/tex]
Answers
Lucy has 1/5 of a pound of chocolates. She would like to make 4 gift bags with chocolates for her teachers.
Answers
Answer:
0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
Step-by-step explanation:
1/5 divided by 4
=0.05 pound of chocolate per gift bag or 1/20 pound of chocolate per gift bag
-----------------------------------------------------------------------------------------------------------------
Hope this helped!!Can anyone please help with this? I will love you forever
Answers
Answer:
1 and 2, 3 and 4, 5 and 6, 7 and 8
Step-by-step explanation:
Supplementary angles are angles that add up to 180°. Since 180° would basically be a straight line, those angles are supplementary
PLS SOMEONE HELP!! DUE TODAY
Answers
Answer:
XZ > XY > YZ
Step-by-step explanation:
1. Approach
To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.
2. Find the value of (x)
The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,
m<X + m<Y + m<Z = 180
Substitute,
(50) + (5x + 10) + (5x) = 180
Simplify,
10x + 60 = 180
Inverse operations,
10x + 60 = 180
-60 -60
10x = 120
/10 /10
x = 12
3. Find the measure of each angle
Now substitute the value of (x) into the expressions given to represent the value of each angle.
m<X = 50
m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70
m<Z = 5x = 5(12) = 60
4. Now apply this to find the comparative lengths of the sides
One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.
m<Y = 70
m<Z = 60
m< X = 50
m<Y > m<Z > m<X
Side XZ is opposite m<Y
Side XY is opposite m<Z
Side YZ is opposite m<X
This means,
XZ > XY > YZ
What is the length of the hypotenuse of the triangle when x = 9?
7x +41
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
I NEED THIS ASAP
Answers
Answer:
[tex]H = 53.30[/tex]
Step-by-step explanation:
Given
[tex]Side\ 1 = 7x + 41[/tex]
[tex]Side\ 2 = 5x[/tex]
Required
Determine side x
The hypotenuse (H) is calculated using:
[tex]H^2 = Side\ 1^2 + Side\ 2^2[/tex]
[tex]H^2 = (7x + 41)^2 + (5x)^2[/tex]
Substitute 9 for x:
[tex]H^2 = (7*9 + 41)^2 + (5*9)^2[/tex]
[tex]H^2 = 10816 + 2025[/tex]
[tex]H^2 = 12841[/tex]
So:
[tex]H = \sqrt {2841[/tex]
[tex]H = 53.30[/tex]
Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.
Answers
Answer:
24.5%
Step-by-step explanation:
Simple Interest = (principal×rate×time)÷100. *Brackets First*
Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).
Plug in values: rate = (100×37975) ÷ (31000×5).
The result is 24.5%.
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is classified as conforming (suitable for its intended use), downgraded (unsuitable for the intended purpose but usable for another purpose), or scrap (not usable). An experiment consists of recording the categories of the three parts tested in a particular day.
a. Let A be the event that all the parts fall into the same category. List the outcomes in A.
b. Let B be the event that there is one part in each category. List the outcomes in B.
c. Let C be the event that at least two parts are conforming. List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂Cc
h. List the outcomes in Ac⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Answers
Answer:
a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d. Outcomes of A⋂C = { (C,C,C) }
e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g. Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h. Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}
i. Events A and C are not mutually exclusive
j. Events B and C are mutually exclusive
Step-by-step explanation:
Given - Three times each day, a quality engineer samples a component
from a recently manufactured batch and tests it. Each part is
classified as conforming (suitable for its intended use),
downgraded (unsuitable for the intended purpose but usable for
another purpose), or scrap (not usable). An experiment consists
of recording the categories of the three parts tested in a particular
day.
To find - a. Let A be the event that all the parts fall into the same
category. List the outcomes in A.
b. Let B be the event that there is one part in each category.
List the outcomes in B.
c. Let C be the event that at least two parts are conforming.
List the outcomes in C.
d. List the outcomes in A⋂C
e. List the 27 outcomes in the sample space.
f. List the outcomes in A U B.
g. List the outcomes in A⋂[tex]C^{c}[/tex]
h. List the outcomes in ⋂C.
i. Are events A and C mutually exclusive? Explain.
j. Are events B and C mutually exclusive? Explain.
Proof -
Let
Conforming part = C
Downgraded part = D
Scrap part = S
a.)
Given , Let A be the event that all the parts fall into the same category.
Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }
b.)
Given, Let B be the event that there is one part in each category.
Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
c.)
Given, Let C be the event that at least two parts are conforming.
Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
d.)
Outcomes of A⋂C = { (C,C,C) }
e.)
Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
f.)
Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }
g.)
Outcomes of [tex]C^{c}[/tex] = { (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }
Outcomes of A⋂[tex]C^{c}[/tex] = { (D,D,D), (S,S,S) }
h.)
Outcomes of [tex]A^{c}[/tex] = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }
Outcomes of [tex]A^{c}[/tex]⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }
i.)
As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅
Now,
A ∩ C = { (C,C,C) }
⇒Events A and C are not mutually exclusive.
j.)
As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅
Now,
B ∩ C = ∅
⇒Events B and C are mutually exclusive.
Answer and explain please ILL MARK BRAINLIEST
Answers
Answer:
the first one is steeper because it took off before the other plane and it is still below the other plane, which means that the hills deeper and it's going to take it longer to take off and get in the air.
Step-by-step explanation: I hope this is what you were looking for let me know if not and I will delete my answer ;)
In a standard 52-card deck, half of the cards are red, and half are black. The 52 cards are evenly divided into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered 2 to 10.
Dawn removes two cards, without replacement.
What is the probability that Dawn removed two black cards?
What is the probability that Dawn removed a diamond and a spade?
What is the probability that Dawn removed two face cards?
Answers
Answer:
Byhrnegngrnhumhrnim jmmumtjmmtjmtj
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answers
Answer:
7w
Step-by-step explanation:
1w + 1w +5w = 7w, add all of the w's up
tfewfgeeffeefefefwefwewwefewewfefwfew
Answers
Answer:
I understand your pain
Step-by-step explanation: sadge
Ms. Sanchez drove 19 1/2 miles 2/3 hour. What was her speed in miles per hour
Answers
Answer:
hi
hi hi hi hi hi h hi hi hi hi hi hi hi
Step-by-step explanation:
Answer:
29.25 / 29 1/4 MPH (Miles Per Hour)
Step-by-step explanation:
2/3 of an hour equals 40 minutes, so 19 1/2 miles is 40 minutes. 20 minutes is 1/3 of an hour, which is the missing amount of 2/3. Divide 19 1/2 miles by 2 to get 9 3/4 miles (which is how far Ms. Sanchez can go in 20 minutes). multiply by 3 to get 29 1/4 Miles Per Hour.
please help asap !!!!!!
Answers
Answer:
62 degrees
Step-by-step explanation:
so that means it is
31*2= 62 degrees(arcs)
if my answer helps please mark as brainliest.
Answer:
119
Step-by-step explanation:
Angle ADC is 61 degrees and Angle ABD is 180. 180-61 so the answer will be 119.
Waitrose-
Budging-
Please answer ASAP
Answers
Answer: Budging because if you 3.25 + 2 = 5.25 and that
more than the Budging so therefore it's Budging.
and on Budging you get a discount.
Step-by-step explanation:
Eight hundred and eighty-six ten-thousandths in decimal
Answers
That is you’re answer, just write the number you read out, then put a decimal in front of it. Works 9/10 times
Hope this helps!
Use a double number line to answer Problem 1-5.
Tanner collected 360 cans and bottle while fundraising for his baseball team. This eas 40% of what Reggie collected. How many cans and bottles dif Reggie collect?
Answers
Answer:
900 cans and bottles.
Hope that helps!
Step-by-step explanation:
360 / 4 = 90
90 x 100 = 900
Hope that helps!
Pleaseeeeeeee help me on thissssss i need helpppppp
Answers
Annabelle invested $5,900 in an account paying an interest rate of 2% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $7,440?
Answers
Answer:
Step-by-step explanation:
Continuous compounding has the form
[tex]A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12[/tex]
Therefore it will take 12 years for the value of the account to reach $7,440.
What is Compound Interest ?Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.
Annabelle invested amount $5900
Final Amount $7440
Rate = 2% compounded continuously
When compounded Continuously ,
[tex]\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12[/tex]
it will take 12 years for the value of the account to reach $7,440.
To know more about Compound Interest
https://brainly.com/question/14295570
#SPJ2
I will give extra points please help
Answers
Answer:
6 > x
Step-by-step explanation:
The given inequality is :
18 > 12+x
We need to graph the solution.
Subtract 12 from both the sides,
18-12 > 12+x-12
6 > x
The attached figure shows the solution to the given inequality.
What does it mean to say that a data point has a residual of 0?
A. The point lies above the regression line.
B. The point lies directly on the regression line.
C. The predicted value for that point is 0.
D. The point falls at the origin.
Answers
Hi!!!
B. the point lies directly on the regression line.
Hope this helped!
Have a good day:)
The point lies directly on the regression line.
Option B is the correct answer.
What is a regression line?A regression line is a straight line that represents the relationship between two variables in a scatter plot.
In other words, it is a line that best fits the data points in a scatter plot by minimizing the difference between the actual data points and the predicted values on the line.
We have,
When we talk about the residual of a data point in the context of regression analysis, we are referring to the difference between the actual value of the response variable (dependent variable) for that data point and the predicted value of the response variable based on the regression equation.
If a data point has a residual of 0, it means that the predicted value for that data point is exactly equal to the actual value of the response variable.
This can occur when the data point falls directly on the regression line, as in option B.
Thus,
The point lies directly on the regression line.
Learn more about regression lines here:
https://brainly.com/question/7656407
#SPJ7
Camden estimates his backpack weighs 9 pounds with his books. It actually weighs 12 pounds. What is the percent error of his estimate?
Answers
Answer:
25%
Step-by-step explanation:
percentage error formula: difference in error/actual digit× 100/1(12-9/12) × 100(3/12) ×100(1/4) ×10025%PLEASE ANSWER QUICKLY THX
Answers
this is harder than 1213321+2143 jk
Helppp please on this question
Answers
Answer:
Answer h = 34 i hope it is helpful have a nice day
Answer:
h = 34
Step-by-step explanation:
64 = h + 30
64-30 = h
34 = h
h = 34
What is the perimeter of square ABCD?
Answers
This is how you do it.
Use the distance formula to find the distance from A to B, B to C, C to D and D to A. Then add up all 4 distances to find the perimeter.
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?
Answers
=============================================================
Explanation:
Notice how 98-2*6 = 98-12 = 86. So we're 2 standard deviations below the mean.
Start at the center, which is where the highest point is located. The value 98 is at the center. Then move 2 spots to the left, which has us move 2 standard deviations lower than the mean, and we arrive at 86. Refer to the diagram below.
From here, we add up the percentages in that diagram that are below the 86 mark. Those percentages are the 0.15% and 2.35%
So we get (0.15%) + (2.35%) = 2.5% which is the answer
Side note: This diagram is using the Empirical Rule. Some textbooks call it the "68-95-99.7 rule", but that's more clunky of a name in my opinion. The three values 68, 95 and 99.7 refer to the approximate percentage values within 1, 2 and 3 standard deviations of the mean.
The opposite sides of a parallelogram
are
Answers
Answer:
Parallel
Step-by-step explanation:
In a parallelogram there are two sets of parallel lines, and they are always opposite sides.
For example: a square has 4 sides, the ones along the top and bottom are parallel and the ones along the left and right are also parallel
6312 divided by 8 how do u break it down
Answers
Answer:
789
Step-by-step explanation:
Answer:
789
Step-by-step explanation:
8 goes into 63 7 times which is 56. 63 - 56 is 7. Bringing down the 1 makes it 71, 8 goes into 71 8 times, which is 64. 71 - 64 is 7. Lastly bringing down the 2 is 72. 8 goes into 72 9 times. So, you get the numbers 789.
What is a reasonable metric unit for the capacity of a large lake
Answers
Answer:
Liters and milliliters are metric units for measuring capacity
Step-by-step explanation:
Answer:
liters
Step-by-step explanation:
Please help i don’t know if I’m doing this right
Answers
Answer:
x = 41
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 40^2 = c^2
81 + 1600 = c^2
c^2 = 1681
c = 41
Step-by-step explanation:
In order to find the hypotenuse of a right triangle, you must remember the theorem:
a² + b² = c².
40 to the second power is 1600, and 9 to the second power is 81.
Add these together for a total of 1681, but you're not done yet. We need to find what multiplied by itself equals 1681, since c is to the second power.
The square root is 41, so x is 41.