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Bond [772]
3 years ago
8

Given \triangle DEF△DEF triangle, D, E, F, find DE

Mathematics
2 answers:
rjkz [21]3 years ago
6 0

Answer:

x ≈ 36.09

correct on khan

Step-by-step explanation:

spin [16.1K]3 years ago
3 0

Answer:

x ≈ 36.09

Step-by-step explanation:

Complete question

Use △DEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

According to the diagram

m<E = 90 degrees

m<D = 49 degrees

DF = 55 = hypotenuse

DE = x = adjacent

EF = opposite

According to SOH CAH TOA identity;

Cos theta = adj/hyp

Cos m<D = DE/DF

Cos 49 = x/55

x = 55cos49

x = 55(0.6561)

x = 36.0855

x ≈ 36.09 (to the nearest hundredth)

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What is 63 over 75 as a decimal?
marissa [1.9K]

Answer:

0.84

Step-by-step explanation:

Use a calculator.  That would be 0.84.

                               3*21

Note that 63/75 = ---------- = 21/25.  Multiplying top and bottom by 4 results

                                3/25                   in 0.84 (so this answer checks out ok)

3 0
4 years ago
4.1 &amp; 4.2 Review<br> 1. Write an equation of the line with a slope of and a y-intercept of -8.
inessss [21]
Hey I would love to help you out with this, but I have a question. what is the slopes number? It wasn’t put in. Once you tell me I will be happy to help you out.
6 0
3 years ago
20 points to whoever gets the correct answer uwu
S_A_V [24]

Answer:

Angle EFG = 104 degrees

Angle GFH = 76 degrees

Step-by-step explanation:

Angle EFG and Angle GFH are a linear pair, which means that they add up to 180 degrees.

Angle EFG = 4n + 20 and Angle GFH = 2n + 34, so 4n + 20 + 2n + 34 = 180.

We can then combine like terms, getting 6n + 54 = 180.

Then, we can subtract both sides by 54, getting 6n = 126.

Lastly, we can divide both sides by 6, getting n = 21.

EDIT - solve for EFG and GFH:

Angle EFG = 4n + 20 = 4(21) + 20 = 104 degrees

Angle GFH = 2n + 34 = 2(21) + 34 = 76 degrees

8 0
3 years ago
Read 2 more answers
How many solutions does the equation 3x + 6 = − 1 − 3 + 4x have?
marissa [1.9K]

Answer:

  • one solution: x=10

Step-by-step explanation:

The coefficients of x on each side of the equal sign are different, so the equation is <em>not a tautology</em>. It must have exactly one solution.

8 0
3 years ago
(04.05)
algol13
So I think it is Dwat u think it is
6 0
3 years ago
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