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Ivenika [448]
2 years ago
15

HELP I WILL NAME YOU BRAINLIEST!! Given: Circumscribed polygon ACEG B, H, F, D -points of tangency AB=5, CD=4, DE=3, FG=2 Find:

Perimeter of ACEG

Mathematics
1 answer:
wolverine [178]2 years ago
4 0

Answer:

perimeter = 28

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

AH = AB = 5

GH = GF = 2

EF = ED = 3

CB = CD = 4

Sum the 8 parts for perimeter of polygon ACEG

perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28

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In which diagram are angles 1 and 2 vertical angles?
Solnce55 [7]

<u>Answer</u>

First diagram shows  1 and 2 vertical angles

<u>Explanation</u>

From the all four diagrams,we get the diagram first shows the vertically opposite angles.  

angle 1 and angle 2 are vertically opposite angles

vertically opposite angles are equal in measurements. when two lines are intersect each other form four angles, out of this four angles two pairs of vertically opposite  angles are there.

All other figures  angle 1 and 2 shows adjacent angles.

6 0
2 years ago
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In 2013 the median monthly rent for one bedroom apartment in San Francisco was $2,750.the equation below models the median month
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i can barly read the image when i open it but, i think its d




7 0
2 years ago
Harmony earns a \$42{,}000$42,000dollar sign, 42, comma, 000 salary in the first year of her career. Each year, she gets a 4\%4%
saveliy_v [14]

Answer:

FV(n)=42,000(1.04)^n

Step-by-step explanation:

FV=PV(1+r/n)^nt

Where

FV=future value

PV=present value

r=interest rate

n=number of periods

t=time (years)

PV=42,000

r=4%=0.04

n=1

t=n

FV(n)=p(1+r/n)^nt

=42,000(1+0.04/1)^1*n

=420000(1+0.04)^n

=42,000(1.04)^n

FV(n)=42,000(1.04)^n

7 0
2 years ago
The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches. Use the Empiric
maks197457 [2]

Answer:  c)[50,60]

Step-by-step explanation:

The Empirical rule says that , About 68% of the population lies with the one standard deviation from the mean (For normally distribution).

We are given that , The heights of students in a class are normally distributed with mean 55 inches and standard deviation 5 inches.

Then by Empirical rule, about 68% of the heights of students lies between one standard deviation from mean.

i.e. about 68% of the heights of students lies between \text{Mean}\pm\text{Standard deviation}

i.e. about 68% of the heights of students lies between 55\pm5

Here, 55\pm5=(55-5, 55+5)=(50,60)

i.e.  The required interval that contains the middle 68% of the heights. = [50,60]

Hence, the correct answer is c) (50,60)

4 0
2 years ago
The sum of two numbers is −138. Their difference is −2. Find the numbers.
Natasha_Volkova [10]

Answer:

The Answer is: The first number is -70 and the second number is -68.

Step-by-step explanation:

Let f = first number and s = second number.

The sum of both is -138:

f + s = -138

The difference is -2

f - s = -2

Solve for f:

f = -2 + s

f = s - 2

Substitute:

s - 2 + s = -138

2s = -136

s = -68, the second number

Solve for f:

f = s - 2

f = -68 - 2 = -70, the first number

Proof:

f + s = -138

-68 + (-70) = -138

-138 = -138

Then:

f - s = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

Hope this helps! Have an Awesome Day!! :-)

5 0
2 years ago
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