Analyze the diagram below and answer the question that follows.

In the triangle above, what is the measure of ∠A?

A. m∠A = 30°
B. m∠A = 45°
C. m∠A = 60°
D. cannot be determined

Answer: The answer is two

Step-by-step explanation:

The values of the length of the missing sides of triangle is x = 7√2 and y = 7.

Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.

One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.

From the given figure we observe that the two angles are 45 degree and 90 degree.

Using the angle sum property we have:

45 + 90 + third angle = 180

third angle = 45 degrees.

The triangle is thus a 45-45-90 triangle.

The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.

Here, the angle corresponding to 45 is 7.

Thus, y = 7 and x = 7√2.

Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.

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[tex]5~~,~~\stackrel{5(6)}{30}~~,~~\stackrel{30(6)}{180}~~,~~\stackrel{180(6)}{1080}~~,~~\stackrel{1080(6)}{6480}~\hfill \boxed{f(x)=x_{n-1}(6)}[/tex]

now, that's recursive, we can also write it in explicit as [tex]5(6)^x[/tex]

Answer:

w = 60

Step-by-step explanation:

the midsegment SU is half the measure of side RV, then

SU =  RV , so

w - 30 =  w ( multiply through by 2 to clear the fraction )

2w - 60 = w ( subtract w from both sides )

w - 60 = 0 ( add 60 to both sides )

w = 60

Answer:

49

Step-by-step explanation:

M<1 = M<2 - Corresponding angles are congruent

M<2 = M<3 - Vertical angles

Answer:

  6)  49°

  7)  30°

Step-by-step explanation:

Where a transversal crosses parallel lines, alternate exterior angles are congruent. Angles 1 and 3 are alternate exterior angles, hence congruent.

  ∠3 = 49° . . . . . . . same as ∠1

__

Angles 5x and x are a linear pair, so supplementary. Angle 'a' corresponds to angle x, so is congruent to it.

  5x +x = 180°

  x = 180°/6 = 30°

  a = 30° . . . . . . . . same as x

Answer:

the measure of ∠1 is 92 degrees

Step-by-step explanation:

Answer: 94 degrees

Step-by-step explanation:

The value of c forms a perfect square of expression x² + 8x + c is 16. thus option D is correct.

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

It is given that x² + 8x + c

So, value of c to form a perfect-square trinomial = (1/2 b)²

= (1/2 × 8)²

= 4²

= 16

Thus the value of c forms a perfect square of expression x² + 8x + c is 16.

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Answer:

4 Years.

Step-by-step explanation:

Principle ⇒ 2000

Interest ⇒ 400

Rate ⇒ 5%

Time ⇒ _

Simple interest ⇒ p * x * t / 100

⇒ 400 = 2000 * 5 * t / 100

⇒ 400 = 200 * 5 * t / 10

⇒ 400 = 20 * 5 * t

⇒ t = 400 / 20 * 5

⇒ t = 40 / 2 * 5

⇒ t = 20 / 5

⇒ t = 4

Answer:

Height = 9 cm

Volume = 243 cm³

Surface area = 270 cm²

Step-by-step explanation:

A prism is a 3D shape which has the same 2D shape repeated along its length (this 2D shape is sometimes called the cross section).

The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the L-shapes.

The height of the prism is also called the length, and is the measure of the length that connects the two bases.  
So for this prism the height is 9 cm.

Area of the base = (6 × 3) + (3 × 3)

                            = 18 + 9

                            = 27 cm²

Volume of a prism = area of the base × height

                               = 27 × 9

                               = 243 cm³

Total surface area = (2 × base area) + side areas

                              = (2 × 27) + 2(6 × 9) + 4(3 × 9)

                              = 54 + 108 + 108

                              = 270 cm²

Answer:

191

Step-by-step explanation:

do the frame with the pic first that is

28*24=672

next just the pic

24*20=480

next subtract the pic from the frame

672-480=191

Answer:

Deductible

Step-by-step explanation:

you pay the first $1,000 of covered services yourself

$1000 represents the deductible amount.

In the case of an accident, the policyholder must pay a deductible as the first amount; the insurance company will only cover any expenses (losses) incurred after the deductible has been paid by the policyholder.

The consumer can first set his deductible while purchasing insurance.

Smaller deductibles often result in higher rates, and larger deductibles frequently result in lower premium payments.

The insurance company has asked Manny to pay the first $1000 in an instance when he was involved in an accident and incurred charges totaling $11,500. The $1,000 deductible amount.

Hence, the answer is deductible amount.

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Hence, required answer is 336

See the picture for the solution

Answer:

a 64/3

Step-by-step explanation:

4^3 * 1/3 = 64/3

Answer:

x = -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Answer:

like fractions have the same denominator. So A is correct

Answer:

2 students do Chemistry, but not Mathematics

Step-by-step explanation:

2 students do Chemistry, but not Mathematics

*View attached table*

Hope this helps!

Answer:

A and C are correct

Step-by-step explanation:

Making the decimal value greater than 4.3 or 4.30 will make the statement correct

Answer:

A

Step-by-step explanation:

incomplete statement

4.3 < 4 ← obviously not true

to make the statement true requires the value in the tenths place to be greater than 3 , for example

4.3 < 4.4 ← is a true statement

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

[tex]\dashrightarrow \: radius = \frac{10}{5} \: cm \\ [/tex]

now ,

[tex]Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3} [/tex]

therefore ,

option (C) is correct.

______________________________________

______________________________________

Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

[tex]Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2} [/tex]

hope helpful :D

The volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

[tex]\rm V = \pi r^2 h[/tex]

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

[tex]\rm V= \pi \times5^2 \times 9[/tex]

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 [tex]\rm cm^3[/tex]  and the lateral surface area of the rectangular prism is 36 square cm.

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Answer:

B or 4[tex]\sqrt[]{3}[/tex]

Step-by-step explanation:

I could be wrong as I'm very new to this math but I believe its 4[tex]\sqrt{3}[/tex]

Answer:

[tex]\displaystyle m = 10[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]

I am joyous to assist you at any time.

Answer:

[tex]\sf{m=10}[/tex]

Step-by-step explanation:

The value of m must be found from one side of the equation in order to solve this problem.

6m=60

First, divide by 6 from both sides.

[tex]\sf{6m=60}[/tex]

[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]

Then, solve it.

[tex]\boxed{{\sf{m=10}}}[/tex]

Therefore, the correct answer is m=10.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

number 1

1       1000 grams

2      2000 grams

5        5000 grams

8         8000 grams

10          10000 grams

Step-by-step explanation:

now 2

1 grams    1000

3 grams      3000

4 grams       4000

6 grams       6000

9 grams       9000

that is all i know please mark me the brainiest

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

or

3.5 x 0.66 = 2.333

I hope this helps!

Answer:

  27 units

Step-by-step explanation:

A midpoint divides a line segment into two congruent parts. K being the midpoint of segment JL means ...

  JK = KL

  8x +11 = 14x -1 . . . . . substitute given expressions

  12 = 6x . . . . . . . . add 1 -8x

  2 = x . . . . . . . . divide by 6

Then the length of JK is ...

  8x +11 = 8(2) +11 = 27

JK is 27 units long.

_____

Additional comment

KL = JK = 27 units

JL = 2(27 units) = 54 units

Answer: this is a function.

f(x)=y

Step-by-step explanation:

domain -> 1,2,3

values: 3,7,-1

Answer:

a ) 0.75 = 0.70 + 0.05

b) 245.07 = 200 + 40 + 5 + 0.0+ 0.07

c) 36.85 = 30+6 + 0.80 + 0.05

d) 3.74 = 3+ 0.70 + 0.04

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Write the following decimals in expanded form:

a) 0.75

0.70 + 0.05

b) 245.07

200 + 40 + 5 + 0.07

c) 36.85

30 + 6 + 0.8 + 0.05

d) 3.74

3 + 0.7 + 0.04

Hope this helps!

Answer:

8

Step-by-step explanation:

It has the highest frequency

Answer:

[tex]8x\sqrt{3xy[/tex]

Step-by-step explanation: