All categories

4 years ago

Congruent Triangles 10 Points

Mathematics

1 answer:

UNO [17]4 years ago

6 0

For number 24, x is equals to 10. It's given that the two triangles are congruent, meaning the angles are congruent too. So, angle A is equals to angle D. Angle A is equals to x+10 and angle D equals to 2x. So we make the two equations equal to each other, x+10=2x, we subtract x from both sides and we get x=10. Remember to replace x with 10 and solve it. The angle would be 20°

For number 25, it's the same thing but we are using sides this time. We make both equations equal to each other and solve for z. 3z+2=z+6, subtract z from both sides and we get 2z+2=6, now we subtract two from both sides and we are left with 2z=4, we are not done yet. We have to isolate z, so we divide both sides by 2 since z is being multiplied by 2, and we end up with z = 2
Remember to replace z with 2, the side would be 8.
I hope this helps. Sorry for the long answer and being late.
YOU'RE WELCOME :D

You might be interested in

*H E L P M E ANSWER*

spin [16.1K]

B<em> (That’s the answeeerrr)</em>

8 0

4 years ago

I suck at this math i need help

adelina 88 [10]

Answer:

I believe it's 2.1H, 2.51H

<h2>PLEASS MARK AS BRAINLIEST AND FOLLOW ME ❤️❤️❤️</h2>

7 0

3 years ago

Factor the trinomial below.<br> x2 + 14x + 48

elixir [45]

IF IT EQUALS 0
1. find two number that multiplied to 48 and adds to 14, which are 6 and 8.

2. substitute the new numbers in with x to get x^2 + 6x + 8x + 48.

3. factor out the x and the 8 to get x(x+6)+8(x+6).

4. x = -6, x = -8

IF IT DOES NOT EQUAL 0
then (x+6)*(x+8) is your answer.

4 0

4 years ago

If 6 chocolates cost $0.93, how much do 22 chocolates cost?

ozzi

I would be $3.41 first you figure out how much one cost by dividing 0.93 by 6 then you multiply your answer by 22

6 0

4 years ago

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Naily [24]

Answer:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=507$ represent the number of children diagnosed with Autism Spectrum Disorder (ASD) in Arizona

$n_{1}=32601$ sample elected from arizona

$\hat p_{1}=\frac{507}{32601} =0.0156$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona

$p_{2}=\frac{1}{88}= 0.0114$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in the nation

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if that the incident of ASD is more in Arizona than nationally, the system of hypothesis are:

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

Alternative hypothesis: $p_{1} > p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{507+1}{32601 +88}=0.01554$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

Statistical decision

The significance level provided is $\alpha=0.01$ , and we can calculate the p value for this test.

Since is a one right sided test the p value would be:

$p_v =P(Z>0.318)=0.375$

5 0

3 years ago