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Romashka [77]
3 years ago
8

Triangle ABC ~ DEF. find the value of x.

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0

Answer:

22

Step-by-step explanation:

Since the 2 triangles shown are congruent, the corresponding angles are equal.

Angle A corresponds to angle D. <em>We set them equal and solve for x:</em>

<em>2x+8=52\\2x=52-8\\2x=44\\x=\frac{44}{2}\\x=22</em>

<em />

First answer choice, 22 is right.

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Write the equation of a line in the given form.
Gnom [1K]

Answer:

y = \frac{1}{4}x - 5

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

   = (-5 - (-4)) / (0 - 4)

   = -1 / -4

   = 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

-5 = \frac{1}{4}(0) + b

b = -5

Now use the above slope and y intercept to create equation of a line:

y = \frac{1}{4}x - 5

3 0
3 years ago
The car travels an average of 40km per litre of fuel, and the cost of fuel is £1.25 per litre. Calculate the cost of the fuel fo
Nuetrik [128]

31075  \div 40 = 776.875 \\ 776.875 \times 1.25 = 971.09375
The cost of fuel was £971.09
5 0
3 years ago
What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
So a man goes to sleep at 8 am and wakes up on the following day and wakes up at 1 am. can you tell me what happened?
Nata [24]

Answer:

He was on an airplane.

Step-by-step explanation:

Hope I helped!

Please mark Brainliest!!!

5 0
3 years ago
HELP PLEASE!!!!!! Anaya bought a sweater that was on sale. The sweater originally cost $34.50 but was purchased for $27.60. What
Elan Coil [88]

Answer: 80%. Hope this helps, please consider making me Brainliest.

Step-by-step explanation:

To find the percentage, divide the sale cost by the original cost:

27.60/34.50

Let's multiply both sides by 10 to make the operation easier:

27.6/34.5 ( I eliminated the zero's because they kind of have no use) -->

276/345, now solve:

276/345 = 0.8

0.8 = 80%

The percentage is 80%.

5 0
1 year ago
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