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Triss [41]
3 years ago
10

Find x. Round to the nearest tenth if needed.

Mathematics
2 answers:
alexdok [17]3 years ago
5 0

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

arsen [322]3 years ago
3 0

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

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25,00 people took part in a cross-country race The number of adults was 4 times the number of children there were 1,200 men.How
erastovalidia [21]

Answer:

Step-by-step explanation:

number of people= 2500

number of children =x

number of adults = 4x

so,  4x+x= 2500

x= 2500/5=500 children

number of men = 1200

number of women = 2500-(1200+500)= 800

4 0
4 years ago
Population Growth Using 20th-century U.S. census data,
asambeis [7]

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  brainly.com/question/25504185

5 0
3 years ago
Pls help me<br> (answer choices)<br> a: 134<br> b:46<br> c:136<br> d:43
elixir [45]

Answer:

i wanna say its 136 but im not completely sure

4 0
3 years ago
Read 2 more answers
1. 5/2=-x/11<br><br> 2. 9/m=-4/11
alex41 [277]

Answer:

1. x = 55/2

2. x = - 99/4

5 0
3 years ago
Pls help! (put a joke in ur awnser)
djverab [1.8K]

Answer:

r⁶

Step-by-step explanation:

Cancel the common factors or r⁹ and r³

3 0
3 years ago
Read 2 more answers
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