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3 years ago

PLEASE HELP! BRAINLIEST! So desperate

Mathematics

2 answers:

Lesechka [4]3 years ago

7 0

Answer:

Measure of < A = 68 degrees.

Step-by-step explanation:

WE find this by using the fact that there are 180 degrees in a triangle.

Consider triangle CAE:

m < C = 38 degrees, m < E = 74 degrees, therefore:

m < A = 180 - (38+74)

= 180 - 112

= 68 degrees (answer).

steposvetlana [31]3 years ago

4 0

Answer:

B= A = 68

Step-by-step explanation:

ACE = BCD similar triangles. Similar triangles have equal angles.

A=B

C=C

D=E

This means if we can find angle B, we know angle A

BCD is a triangle so it equals 180 degrees

B+C+D = 180

B + 74+38 = 180

Combine like terms

B +112 = 180

Subtract 112 from each side

B +112-112 = 180-112

B = 68

Since we know angle B, we know angle A

B= A = 68

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students

Artemon [7]

Answer:

Let p be the population at t be the number of years since 2011. Then, $p=2000-50t$

The projected population of the high school in 2015=1800
In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also, Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, $p=2000-50t$

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

$p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800$

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

$1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8$

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students

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