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dlinn [17]
4 years ago
14

Are this two triangles similar?

Mathematics
1 answer:
Alex73 [517]4 years ago
5 0
<h3>Answer:   </h3><h3>Yes, the triangles are similar</h3><h3>AC = 6</h3>

======================================================

Explanation:

Focus on triangle ABC. Let's find the missing angle

A+B+C = 180

113+B+22 = 180

B+135 = 180

B = 180-135

B = 45

Between the triangles, have two pairs of angles that are congruent

A = D = 113

B = E = 45

Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22

Since we have A pair with D, and B pair with E, this means that \triangle ABC \sim  \triangle DE F

The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.

Consequently, this means sides BC and EF pair up and AC and DF pair up

We can then say...

BC/EF = AC/DF

18/12 = x/4

18*4 = 12*x

72 = 12x

12x = 72

x = 72/12

x = 6

AC = 6

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The residence of a city voted on whether to raise property taxes the ratio of yes votes to know votes was 5 to 6 if there was 58
Akimi4 [234]
5/6:x/5844

Cross multiply to get
29220=6x
x=4870

4870+5844=

10714 votes

Hope this helped :)
7 0
2 years ago
Evaluate the expression for the given values.
Igoryamba

Answer:

a is 39

b is 57

Step-by-step explanation:

you were given two different expressions to substitute.

the first one is p = 8 and d = 1/7

so we substitute into 5p - 7d

that is 5(8) - 7(1/7)

we get 40 - 1

which if we go ahead to evaluate we get 39

The second one p = 3 and d = -6

so we get 5(3) - 7(-6)

we get 15 - (-42)

if we go ahead to evaluate we get 15 + 42

two negative meeting each other gives you positive.

then it going too be 57

7 0
2 years ago
Equation of a circle given a diameter <br><br> 1-Diameter (2,4) (-3,5)<br> 2-Diameter (2,4) (6,2)
Vedmedyk [2.9K]

Answer:

harvard

Step-by-step explanation:

they are really nice and smart circles

8 0
2 years ago
State the vertical asymptote of the rational function.
Cloud [144]
X - 3(x + 4)
-------------
 x^2 - 1

vertical asymptoes happen when the denominator = 0

x^2 - 1 = 0
so x = 1 or -1

so the asymptotes are x = -1  and x=1
7 0
3 years ago
the celluloid cinema sold 150 tickets to a movie. some of these were child tickets cost $7.75 and an adult ticket cost $10.25. i
Citrus2011 [14]

Answer:

a + c = 150

7.75a + 10.25c = 1470

Step-by-step explanation:

a = adult

c = child

<h2><u><em>please vote brainliestplease vote brainliest</em></u></h2>
4 0
3 years ago
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