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3 years ago

Identify the pairs of congruent angles and proportional sides in the following figures.

Mathematics

1 answer:

Vinvika [58]3 years ago

7 0

Answer:

Step-by-step explanation:

congruent angles:

angle A = H

B = J

K = C

L = D

proportional side :

AB proportional HJ

AD proportional HL

JK proportional BC

KL proportional CD

hope it helps

if it does so then please mark me as brainliest

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Find the area of this polygon

Levart [38]

<h3>Answer: 12 square units</h3>

Explanation:

Rectangle ABDE is 4 units across the horizontal, and 2 units tall.

The area of this rectangle is length*width = 4*2 = 8 square units.

Triangle BCD has a base of 4 and height 2. The area of which is base*height/2 = 4*2/2 = 4 square units.

The total area is

rectangle + triangle = 8 + 4 = 12 square units

8 0

2 years ago

How do you do this problem? Explain.

Elza [17]

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2) Remove the brackets

3.25x = 7 + 3x - 6 Collect terms on the right

3.25x = 3x + 1 Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1 Combine

0.25x = 1 Divide by 0.25

0.25 x/0.25 = 1 / 0.25

x = 4 hours.

7 0

3 years ago

8. Solve X=Students & Y=Teachers<br> X+Y=24<br> X=3Y

Len [333]

Answer:

x=18, y= 6

Step-by-step explanation:

if x+y=24

x= 24- y

in second case

x= 3y

24_ y = 3y

24=4y

y= 6

hence x = 24 _6 = 18

5 0

2 years ago

What are the solutions of x² + 6x - 6 = 10?

Likurg_2 [28]

Answer: x=- 8 or x=2

Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

2. The quadratic equation is:

$x^{2}+6x-6-10=0\\x^{2}+6x-16=0$

3. Then:

a=1

b=6

c=-16

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

$x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}$

$x_1=-8\\x_2=2$

4 0

3 years ago

Read 2 more answers

Assume the population has a normal distribution. A sample of 25 randomly selected students Has a mean test score of 81.5 With a

Natasha_Volkova [10]

Answer:

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 2.064

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.064\frac{10.2}{\sqrt{25}} = 4.21$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 81.5 - 4.21 = 77.29

The upper end of the interval is the sample mean added to M. So it is 81.5 + 4.21 = 85.71.

The 90% confidence interval for the mean test score is between 77.29 and 85.71.

6 0

2 years ago