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musickatia [10]
3 years ago
12

△ABC is similar to △LMN. Also, angle B measures 35° and angle C measures 95°. What is the measure of angle L?

Mathematics
2 answers:
umka2103 [35]3 years ago
8 0
Triangles are similar meaning their angles are identical and sides may vary.
180deg in any triangle
180-35-95= L and A
ruslelena [56]3 years ago
6 0

When two triangles are similar, the ratio of the corresponding sides are in proportion.

Also the corresponding angles are congruent.

Here we are given that B= 35° & C = 95°

Now by angle sum property

A + B + C = 180°

A + 35 + 95 = 180

A + 130 = 180

Subtracting 130 from both sides, we get

A = 180 - 130

A = 50°.

Now

ΔABC ~ ΔLMN

So by definition of similarity

A = L

But A = 50°.

Hence L = 50°

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A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled.
julia-pushkina [17]
Volume of a Rectangular Prism = Length * Width * Height

Step 1:
Double your dimensions

5 cm x 2 = 10 cm
3 cm x 2 = 6 cm
4 cm x 2 = 8 cm

Step 2:
Multiply them together

Volume = 10 x 6 x 8
Volume = 60 * 8
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6 0
2 years ago
Read 2 more answers
Use substitution to solve the<br> following system of equations.<br> 9x + 5y = 32 AND y = -3x + 4
Darya [45]

Answer:

x = -2

y = 10

Step-by-step explanation:

Since they already gave y as -3x +4, you will then have to substitute that amount into the formula

9x + 5y = 32

By doing that you get

9x +5(-3x+4) = 32

9x -15x +20 = 32

Then, you ill take 20 to the other side to subtract 32, which will get you

-6x = 12

Then, you will get x = -2

Then substitute that for the equation

y = -3x + 4

You will get

y = -3(-2) + 4,

You will get y as 10

SO then your final answer is x = -2, y = 10

4 0
2 years ago
Is that the answer please help no links no links please help
fenix001 [56]

Answer:

360

Step-by-step explanation:

V= L•W•H/3

10×12×9÷3

3 0
2 years ago
The measure of ∠AKG is 133°. What is m∠AKD?
elena55 [62]
The answer would be 47 because we know a right angle is 90 degrees but <AKG is 133 degrees so you subtract 180-133 which =47
8 0
3 years ago
How do you solve this don’t mind the (f) that’s just the problem number
zavuch27 [327]
Hello,
You need to evaluate the equation, so:
3xˆ2+14x+8 --> 17xˆ2+8. Hop this helps!

~Brainliest
3 0
2 years ago
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