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3 years ago

Help me please and thank you

Mathematics

2 answers:

fiasKO [112]3 years ago

5 0

Since the triangles are the same, just flipped that means that all angles and segments are the same as well

I'm not sure if that's the "correct" way to prove it but that's why they're equal

Nonamiya [84]3 years ago

3 0

Answer:

Step-by-step explanation:

In ΔEGF & ΔEGH,

EF ≅ EH {given}

FG ≅ HG { midpoint theorem}

EG ≅ EG {Reflexive property}

ΔEGF ≅ ΔEGH { S S S congruent }

∠1 ≅ ∠2 {Corresponding parts of congruent triangles are equal}

You might be interested in

3/2 * (-5/8) what is the an

castortr0y [4]

Answer:

-15/16

Step-by-step explanation:

3/2 x (-5/8) = 12/8 x -5/8 = -60/64 = - 15/16

6 0

3 years ago

A community center is serving a free meal to senior citizens. The center plans to feed 700 people in 4 hours. Write and solve an

Arada [10]

A. If the center plans to feed 700 people in 4 hours, then in order to find the average number of people the center is planning to feed each hour is 700/4 which is equal 175. So, the center is planning to feed 175 people per hour.

B. If during the first hour and a half, the center fed 270 people, find the remaining people to feed left: 700 - 270 = 430 people left to feed.

Please mark as brainliest

8 0

3 years ago

A restaurant chain has two locations in a medium-sized town and, believing that it has oversaturated the market for its food, is

scoray [572]

Answer:

Yes, since the test statistic value is greater than the critical value.

Step-by-step explanation:

Data given and notation

$\bar X_{1}=360000$ represent the mean for the downtown restaurant

$\bar X_{2}=340000$ represent the mean for the freeway restaurant

$s_{1}=50000$ represent the sample standard deviation for downtown

$s_{2}=40000$ represent the sample standard deviation for the freeway

$n_{1}=36$ sample size for the downtown restaurant

$n_{2}=36$ sample size for the freeway restaurant

t would represent the statistic (variable of interest)

$\alpha=0.05$ significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the true mean of revenue for downtown is higher than for freeway restaurant, the system of hypothesis would be:

Null hypothesis: $\mu_{1}\leq \mu_{2}$

Alternative hypothesis: $\mu_{1} > \mu_{2}$

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Determine the critical value.

Based on the significance level $\alpha=0.05$ and $\alpha/2=0.025$ we can find the critical values from the t distribution dith degrees of freedom df=36+36-2=55+88-2=70, we are looking for values that accumulates 0.025 of the area on the right tail on the t distribution.

For this case the value is $t_{1-\alpha/2}=1.66$

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

$t=\frac{360000-340000}{\sqrt{\frac{50000^2}{36}+\frac{40000^2}{36}}}}=1.874$

What is the p-value for this hypothesis test?

Since is a right tailed test the p value would be:

$p_v =P(t_{70}>1.874)=0.033$

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we reject the null hypothesis, and the true mean for the downtown revenue restaurant seems higher than the true mean revenue for the freeway restaurant.

The best option would be:

Yes, since the test statistic value is greater than the critical value.

5 0

3 years ago

Simplify the complex fraction. 8/5 divide by 6 3/4 *

hichkok12 [17]

Step-by-step explanation:

$\frac{8}{5}$ ÷6 $\frac{3}{4}$

First, simplify the 6 $\frac{3}{4}$ to an improper fraction, which is:

$\frac{27}{4}$

Next rewrite the equation using the improper fraction:

$\frac{8}{5}$ ÷ $\frac{27}{4}$

Now, in order to divide the fraction, we will need to flip the second fraction over, and then multiply the two fractions together. A great way to remember this is the phrase Copy Dot Flip - Copy the first fraction, put a dot for multiplication, and flip the second fraction.

$\frac{8}{5}$ · $\frac{4}{27}$

Finally, multiply together and simplify/reduce if needed:

The final answer is $\frac{32}{135}$ and no simplification or reduction is needed

4 0

4 years ago

Solve for x: −2x + 5 < 7

hoa [83]

-2x + 5 < 7

-2x + 5 < 7
 -5 -5 deduct 5 from both sides
-2x < 2
÷ -2 ÷ -2 divide both sides by negative 2. Because of the division
x > -1 using a negative number, the sign is then reversed.
from < it becomes >.

The value of x should be greater than -1. It can be 0, 1, 2, so on...

To check: Revert back to the original sign which is <.

x = 1
-2x + 5 < 7
-2(1) + 5 < 7
-2 + 5 < 7
3 < 7

7 0

3 years ago