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3 years ago

Name the postulate or theorem you can use to prove the triangles congruent

Mathematics

1 answer:

Lesechka [4]3 years ago

6 0

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

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Wats the 60% off a prize that is $20.00

Alla [95]

$x\ \rightarrow\ the\ 60\%\ of\ a\ prize\ that\ is\ \$20.00\\\\x=60\%\ \cdot \ \$20.00= \frac{60}{100} \cdot \$20.00=\$12.00\\\\Ans.\ \$12.00$

5 0

3 years ago

Trying to find the y-intercept and got -24. But the graph given doesn't have a number on the y-axis going all the way down to -2

mario62 [17]

Answer:

y = 6x - 24

Step-by-step explanation:

Slope intercept form: y = mx + b.

Fill in x, y, and the slope to solve for b as follows:

First find the slope.

60 - 6

14 - 5

54/9

Slope = 6

y = 6x + b

(6) = 6(5) + b

6 = 30 + b

Subtract 30 from both sides.

-24 = b

y = 6x - 24

4 0

3 years ago

Read 2 more answers

Good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6. what was the price of good x in 1999 dollar

andrey2020 [161]

Answer:

the price of good x in 1999 dollars is 370.89 dollars

Step-by-step explanation:

Given that good x sold for $40 in 1945. the Cpi in 1945 was 18.0 and the cpi in 1999 was 166.6.

We have cpi and sale price have direct variation

In other words S = kC where C = CPi and S = sales price

In 1945, 40 = 18k or K = 20/9

Using this we can say

Sales price in 1999 would be k (166.6)

= $\frac{20}{9} (166.6)\\= 370.89$

the price of good x in 1999 dollars is 370.89 dollars

5 0

4 years ago

In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsibl

ziro4ka [17]

Answer:

The hippocampus volumes in the alcoholic adolescents are less than the normal volume of 9.02 cm³

Step-by-step explanation:

Let x= the hippocampus volumes in the alcoholic adolescents

We'll conduct a hypothesis test at the 0.01 significance level with

Null hypothesis: x = 9.02 cm³

Alternate hypothesis: x < 9.02 cm³

A sample of 13 alcoholic adolescents gives the parameters

size=N= 13

mean=M= 8.12 cm³

standard deviation= s= 0.8 cm³

According to the sample, with 99% confidence, t statistic for the value X=9.02 can be found using the formula:

t= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

M is the sample mean (8.12)
s is the standard deviation of the sample (0.8)
N is the sample size (13)

If we put these numbers in the formula:

t= $\frac{9.02-8.12}{\frac{0.8}{\sqrt{13} } }$ =4.056

One tailed critical value for the sample with 12 degrees of freedom (sample size-1) in 99% confidence level is 2.681.

Since t value (4.056) is bigger than the critical value, we fail to reject the alternate hypothesis, therefore reject the null hypothesis and accept alternate hypothesis.

5 0

3 years ago

I need help ASAP <br> Someone please help me questions 7&8

attashe74 [19]

For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.

In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.

8) Organize the information you are given.

*Savannah is 24 years older than Ryan.

So, Ryan's age + 24 = Savannah's age.

*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.

*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age

Let x represent Ryan's age.

Write the equation based on the information you are given.

x + 24 = x(5)

x + 24 = 5x

Solution: D) 24 + x = 5x

6 0

3 years ago