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Travka [436]
2 years ago
10

∠C and ∠D are complementary.

Mathematics
2 answers:
djverab [1.8K]2 years ago
7 0

Answer:

  • x = 7

Step-by-step explanation:

Complementary angles are angles that add up to 90°.

We have C and D as complementary.

Their sum is:

  • m∠C + m∠D = 90

Substitute values and solve for x:

  • 8x + 5x - 1 = 90
  • 13x = 90 + 1
  • 13x = 91
  • x = 91/13
  • x = 7
Harman [31]2 years ago
5 0

Answer:

x = 7

Step-by-step explanation:

<u>Complementary angles</u> are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are <u>complementary.</u> This means that the sum of ∠C and ∠D is equivalent to 90°.

⇒ ∠C + ∠D = 90°

⇒ 8x + 5x - 1 = 90°                                                          [∠C = 8x; ∠D = 5x - 1]

⇒ 13x - 1 = 90°

⇒ 13x = 90 + 1

⇒ 13x = 91

⇒ 13x/13 = 91/13

⇒ x = 91/13 = 7

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Geometry!!!!!!!!!!!!!!!!!!!!
svlad2 [7]

Answer:

The two triangles are related by Side-Side-Side (SSS), so the triangles can be proven congruent.

Step-by-step explanation:

There are no angles that can be shown to be congruent to one another, so this eliminates all answer choices with angles (SSA, SAS, ASA, AAA, AAS).

This leaves you with either the HL (Hypotenuse-Leg) Theorem or SSS (Side-Side-Side) Theorem. We could claim that the triangles can be proven congruent by HL, however, we aren't exactly sure as to whether or not the triangles have a right angle. There is no indicator, and in this case, we cannot assume so.

This leaves you with the SSS Theorem.

8 0
3 years ago
Write the equation of a line that passes through the points (4,6) and (−8,3)
kari74 [83]

Answer:

y= 1/4x+5

Step-by-step explanation:

y=mx+c

to calculate gradient: change in y/change in x

-3/-12 = 0.25

y = 1/4x+c

4 * 1/4 = 1

6-1 = 5

c= 5

Totally:
y= 1/4x+5

5 0
1 year ago
Round your answer to the nearest hundredth.<br><br> 13.48x − 200 &lt; 256.12
wolverine [178]

Answer:

<h2>x < 33.84</h2>

Step-by-step explanation:

13.48x − 200 < 256.12

Using the addition property , add 200 to both sides

That's

13.48x + 200 - 200 < 256.12 + 200

13.48x < 456.12

<u>Divide both sides by 13.48</u>

\frac{13.48x}{13.48}   <   \frac{456.12}{13.48}  \\ x  <  \frac{456.12}{13.48}  \\  \:  \:  \:  x  <  33.83679

We have the final answer as

x < 33.84 to the nearest hundredth

Hope this helps you

4 0
3 years ago
Need help 1-4 will give brainiest
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Answer:

1) PN

2) MN

3) 8

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3 0
2 years ago
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Mariulka [41]

Answer:

It is 8.5 meters tall

Step-by-step explanation:

28.05 / 3.3 = 8.5

3 0
2 years ago
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