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Sauron [17]
2 years ago
6

What is the value of (-5)4?

Mathematics
1 answer:
shusha [124]2 years ago
7 0

Answer:

Your answer is -20

value of (-5)4 is -20.

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5. Determine whether the triangles are similar. If they are, state what method you used and write a similarity
Anastasy [175]

1. Yes, ΔABC and ΔDEF are similar triangles by SSS similarity.

2. Yes, ΔABC and ΔFGH are similar triangles by AAA similarity.

Solution:

Question 1.

(a) Yes, ΔABC and ΔDEF are similar triangles.

(b) <em>If two triangles are congruent, then their corresponding sides are in the same ratio.</em>

Let's compare the sides of the triangles.

$\frac{AB}{DE} =\frac{8}{6}=\frac{4}{3}

$\frac{BC}{EF} =\frac{12}{9}=\frac{4}{3}

$\frac{AC}{DF} =\frac{16}{12}=\frac{4}{3}

Corresponding sides of the triangle are in the same ratio.

Hence by SSS similarity ΔABC and ΔDEF are similar triangles.

Question 2:

(a) Yes, ΔABC and ΔFGH are similar triangles.

By triangle sum theorem,

In triangle ABC,

m∠A + m∠B + m∠C = 180°

m∠A + 81° + 52° = 180°

m∠A = 180° –  133°

m∠A = 47°

In triangle ABC,

m∠F + m∠G + m∠H = 180°

47° + m∠G + 52° = 180°

m∠G = 180° –  99°

m∠G = 81°

Yes, ΔABC and ΔFGH are similar triangles.

(b) <em>If two triangles are congruent, then their corresponding angles are congruent.</em>

∠A ≅ ∠F

∠B ≅ ∠G

∠C ≅ ∠H

Hence by AAA similarity ΔABC and ΔFGH are similar triangles.

4 0
3 years ago
What’s the function of f(x)=-2/3x -7 ?
Blababa [14]

Answer:

F(x) = -1/3 x^2 - 7x + C

3 0
3 years ago
last summer at Camp okeefenokee the ratio of the number of a boy campers to the number of girl campers with 8:7. If there were a
Stels [109]
Number of boys=x
number of girls=y.

We can suggest this system of equations:
x/y=8/7                  ⇒x=8y/7
x+y=195

this system of equations can be solve by substitution method.

(8y/7)+y=195
least common multiple=7
8y+7y=1365
15y=1365
y=1365/15
y=91

x=8y/7
x=8*91 / 7
x=728/7
x=104

Answer: there were 104 boy campers and 91 girl campers.
6 0
3 years ago
What is the area of triangle ABC?
Lostsunrise [7]
I’m not i’m go to the store but I’m going on my phone back in
5 0
4 years ago
Alguien sabe que pasa con los grados de los polinomios Cúando se multiplican
allochka39001 [22]

respuesta :

eso es un ejemplo aver si te ayuda

explicacion :

polinomio en una letra                        Grado    

2x³ - 5x² +  8                       ⇒                  3

6 0
3 years ago
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