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In-s [12.5K]
2 years ago
5

What is the mDEF? plz help

Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

Answer:

m∠DEF = 148°

Step-by-step explanation:

The total sum of angles inside a triangle is 180°

m∠FDE + m∠EFD + m∠DEF = 180°

We can also see that because two sides are congruent, their angles are also congruent, so we can solve for x

m∠FDE = m∠EFD

2x + 8 = 3x + 4; subtract 2x from both sides

8 = x + 4; subtract 4 from both sides

x = 4; now we can substitute into equations

m∠FDE = m∠EFD;

2(4) + 8 = 3(4) + 4

8 + 8 = 12 + 4; 16=16; therefore = m∠FDE = m∠EFD = 16

To solve for m∠DEF

m∠FDE + m∠EFD + m∠DEF = 180°

16 + 16 + m∠DEF = 180

m∠DEF = 148°

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What are the zeros of the function f(x)=3x^2-3x-6
pochemuha
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3 0
3 years ago
If g(x) = 7(x2 + 3) - 10 what is the value of g(5)?<br> a. 186<br> b. 206<br> c. 46<br> d. 20
stira [4]

Answer:

a) 186

Step-by-step explanation:

g(x) = 7(x^2 + 3) - 10

g(5) = 7((5)^2 + 3) - 10

g(5) = 7(25 + 3) - 10

g(5) = 7 × 25 + 7 × 3 - 10

g(5) = 175 + 21 - 10

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4 0
3 years ago
A girl scout troop sold cookies. If the girls sold 5 more boxes the second week than they did the first, and if they doubled the
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We can let x be the number of boxes sold for the first week. We can as well express the number of boxes for the second and third week through x using the statements provided.

Since the girl scout sold 5 more boxes on the second week, we have (x + 5) number of boxes sold for the second week. Now, for the third week, since it's double that of the second week, we have 2(x + 5). Thus, we have the following:

first week: x
second week: x + 5
third week: 2(x + 5)

Given that the total number of boxes sold for the three weeks is 431. We have

x + (x + 5) + 2(x + 5) = 431
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Answer: 
first week: 104
second week: 109
third week: 218



5 0
3 years ago
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