O Work out the length of x.
Give your answer rounded to 3 significant figures.
12.4 mm
8.6 mm
X

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer:

Step-by-step explanation:

just did it

Answer:

the first figure

Step-by-step explanation:

Step-by-step explanation:

isidhxibdofeixeosgzifisvsoshzibdihddgd

Answer:

194.194537 centimeters

Step-by-step explanation:

Answer:

194.19cm

Step-by-step explanation:

yeah yeah yeah yeah

Answer:

$200

Step-by-step explanation:

Here is the full question

You can upgrade lighting at your factory to LED bulbs that cost $6.95 each and last an average of 5 years. It costs $3 in labor to change a bulb. Over a 10-year period, about how much will it cost per year to install LED bulbs in 100 lamps and change the bulbs when they burn out?

in 10 years, the bulbs would be changed twice

Total cost incurred per bulb in 10 years = (6.95 +  $3) x 2 = $19.90

Since there are 100 bulbs, total cost incurred would be - $19.90 x 100 = $1990

Cost per year = $1990 /  (6.95 +  $3) = $200

Answer:

change up to down the rest is right

Step-by-step explanation:

hope I helped!!

Answer:

Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Step-by-step explanation:

Given that Julie has $ 80,000 to invest, and she invests part at 5%, one fourth this amount at 6%, and the balance 7%, knowing that her total annual income from interest is $ 4,700, to find the amount invested at each rate se you must perform the following calculation:

80,000 / 4 = 20,000

20,000 x 0.06 = 1,200

4,700 - 1,200 = 3,500

60,000 x 0.07 + 0 x 0.05 = 4,200

50,000 x 0.07 + 10,000 x 0.05 = 4,000

40,000 x 0.07 + 20,000 x 0.05 = 3,800

30,000 x 0.07 + 20,000 x 0.05 = 3,600

25,000 x 0.07 + 35,000 x 0.05 = 3,500

Thus, Julie invested $ 25,000 at 7%, $ 20,000 at 6%, and $ 35,000 at 5%.

Answer:

There are many decimals between 2.10 and 2.11.

Examples:

2.101, 2.102, 2.103, 2.104, 2.105, 2.106, 2.107, 2.108, 2.109

You can choose 2 from these examples.

Answer:

H²=h²+b²

H²=9²+3²

H²=81+9

H²=90

H=

[tex] \sqrt{90} [/tex]

Since each value of the input is mapped to only one value of the output, we have that graph w represents a function.

When it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

Hence, in this problem, graph w represents a function.

More can be learned about functions at https://brainly.com/question/12463448

#SPJ1

Answer:

it's A have a good day

Step-by-step explanation:

Answer:

Formula *10

Step-by-step explanation:

35

Answer:

c = 4,9

d = 4,6

Answer:

5 feet

Step-by-step explanation:

Hi!

So we have to make a system of equations here.

Let sibling 1 be O and sibling 2 be Y (for older and younger)

So:

O + Y = 64

O = 64 - Y

(Either one works)

The older sibling is 6 years older.

O = Y + 6

Make everything in terms of Y.

64 - Y = Y + 6

Same to both:

58 = 2y

2y = 58

Divide by 2 on both sides:

y = 29

Since the older sibling is 6 years older:

29 + 6 = 35

Y = 29

O = 35

Let me know if you have any questions.

Answer:

senior citizen tickets are $10 and child tickets are $8

Answer:

senior is 10 and child is 8

Step-by-step explanation:

Answer:

16,700

Step-by-step explanation:

38,428

_

21,728

=

16,700

Answer:

2r+1+(-4r)+7

= -2r+8

= -2(r+4)

Step-by-step explanation:

Answer:

y = 40 + 45x

Step-by-step explanation:

Fixed administrative fee for the cleaning and maintenance of the car = $40

rental cost = $45 per day

x = number of days

y = total cost in dollars

y = 40 + 45x

This shows the relationship between the number of days and the total cost of renting a mid-size car.

Answer:

$4800

Step-by-step explanation:

Let x be the C.P of the painting.

Profit=10% of x

Profit=[tex]\frac{10}{100}\times x=\frac{10x}{100}[/tex]

If S.P increase by 240 then

Profit=15% of x=[tex]\frac{15x}{100}[/tex]

For first case

S.P=C.P+ Profit

S.P=x+10x/100

S.P=[tex]\frac{100x+10x}{100}=\frac{110}{100}x[/tex]

For second case

New S.P[tex]=x+\frac{15}{100}x[/tex]

         =[tex]\frac{115}{100}x[/tex]

According to question

[tex]240+S.P=\frac{115}{100}x[/tex]

[tex]240+\frac{110x}{100}=\frac{115}{100}x[/tex]

[tex]240=\frac{115}{100}x-\frac{110x}{100}[/tex]

[tex]240=\frac{115x-110x}{100}[/tex]

[tex]240=\frac{5}{100}x[/tex]

[tex]x=\frac{240\times 100}{5}[/tex]

[tex]x=4800[/tex]

Hence, the C.P of the painting=$4800

Answer:

1120 super easy

Step-by-step explanation:

8x10=80

80x14=1120

Answer:

yes

Step-by-step explanation:

your m is your slope,your b is the y-intercept, and your y is what you are solving for.

Answer:

Y=mx+b is an equation for a linear equation

M is the slope of the line and B is the y-intercept

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Every straight line can be represented by an equation: y = mx + b.

Hope this helps :))

Answer:

39/30= 13/10

Step-by-step explanation:

You would need to make all numbers have a common denominator. The least common denominator for them is 30. So multiply the 1/6 by 5. the 4/5 by 6 and the 2/3 by 10. And the answer will come out to be a mixed number.

Answer:

Alright so let's start by elimination.

Step-by-step explanation:

It cannot be 1/4 (unless it's y or x)

Cannot be 1/2 unless it's the bottom part.

So that leaves you with 1/3 and 1/6, 1/6 is to small so it has to be 1/3.

Hope this helps!

Answer:

The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

Answer:

B

Step-by-step explanation:

did the math for it!!

B, jake.

loooooooooooooooooll

Answer: -5 Hope this helps :)

Step-by-step explanation:

Brainlist Plz?

Step-by-step explanation:

To find the y intercept we need to find slope first which can be done by taking 2 points and using the slope formula

5 - 10

----------  =   -5/3    

12--9

The slope is -5/3 now we take one point substitute the slope in and find the y intercept

5=-12( -5/3) +b

5= 20+ b

-15 =b

The y-intercept is -15

Answer:

125

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

368 - 243 = 125

Answer:

[tex]|LN| = 24[/tex]

Step-by-step explanation:

Given

[tex]LM:MN:NO = 3:1:2[/tex]

[tex]LO = 30[/tex]

Required

Find LN

[tex]LN = LM + MN[/tex]

From the ratio, LM = 3 and MN = 1

So:

[tex]LN = 3 + 1[/tex]

[tex]LN = 4[/tex]

LN and NO can be represented as:

[tex]LN : NO = 4 : 1[/tex]

The length of LN is then calculated as:

[tex]|LN| = \frac{LN}{LN+NO}*|LO|[/tex]

[tex]|LN| = \frac{4}{4+1}*30[/tex]

[tex]|LN| = \frac{4}{5}*30[/tex]

[tex]|LN| = \frac{4*30}{5}[/tex]

[tex]|LN| = \frac{120}{5}[/tex]

[tex]|LN| = 24[/tex]