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nikklg [1K]
3 years ago
14

D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF? A. 30° B. 45° C. 60° D. 90°

Mathematics
1 answer:
viva [34]3 years ago
4 0
D hope this helps man
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The population of a certain country is expected to double every 32 years. The population of this country was 4.2 million people
mojhsa [17]

Answer:

2.2%

Step-by-step explanation:

Given the following :

Population in year 2000 (A) = 4.2 million

Expected population every 32 years = 2 *A

The growth rate per year =?

The population figure after 32 years = (2 * 4.2 million) = 8.4 million

Using the exponential growth formula :

P(t) = A × (1 + r)^t

(1 + r) = g = Total growth percent

A = Initial population

t = time

P(t) = 8.4 million

8,400,000 = 4,200,000 × g^32

g^32 = (8400000/4200000)

g^32 = 2

Taking the root of 32 on both sides

g = 1.02189714865

g = (1 + r)

1.02189714865 = 1 + r

r = 1.02189714865 - 1

r = 0.02189714865

.rate = 0.02189714865 * 100

= 2.18971486541%

= 2.2% ( nearest tenth)

4 0
4 years ago
Help!! -4x=36 and pls show the work! thank youu
IRINA_888 [86]

Answer:

x=-9

Step-by-step explanation:

x=36/-4=-9

8 0
3 years ago
Read 2 more answers
Find the area of the composite figure.
Minchanka [31]

Answer:

132 square feet

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * b * h. B stands for base and h stands for height. 1/2 multiplied by the base, 10, is 5. We then multiply 5 by 12 which is 60. Let's look at the rectangle now. The area of a rectangle is length by width. The length is 12ft and the width is 6ft. 12 * 6 = 72. 72+60=132 square feet.

8 0
3 years ago
What does the data tell you about the eugenics<br> movement?
TEA [102]

Answer:

B

Step-by-step explanation:

More people were sterilized in Virginia than Michigan.

8 0
3 years ago
What is 8 is increased to 22
SOVA2 [1]
<span><span>1.       </span>What is 8 increased to 22.
I believe you want me to show you what is the interest increased from 8 to 22
Let’s start the solution process:
=> 8 is the original number and supposed to be the 100% value
=> 22 is the increased number
subtract 22 by 8 to know how much is added.
=> 22 – 8 = 14
=> 14 / 8 = 1.75
=> 1.75 * 100% = 175%
Thus, the added increased is around 175% of the original money</span>



3 0
4 years ago
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