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kari74 [83]
3 years ago
9

Josh drew ∆ ABC with mm∠A = 40°, m∠B = 60° and m∠ C = 80°. Howard drew ∆ XYZ with m∠Y = 60° and m∠ Z = 80°. What can you say abo

ut the two triangles? Justify your response.
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

Both of these triangles are congruent.

Step-by-step explanation:

All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.

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Easton wants to put a variety of donuts in a display case. The case is large enough to hold 100 donuts. Complete the table below
shutvik [7]

The amounts for each donut are given as follows:

  • Strawberry: 15.
  • Chocolate: 45.
  • Sprinkle: 40.

<h3>How to obtain the amounts?</h3>

The amounts for each donut are found applying the proportion, multiplying the decimal equivalent of each percentage by the total number of donuts.

From the problem, the total number of donuts is given as follows:

100 donuts.

The percentages of each type of donuts are given as follows:

  • Strawberry: 15%.
  • Chocolate: 45%.
  • Sprinkle: 40%.

The decimal equivalent of each percentage is given as follows:

  • Strawberry: 0.15.
  • Chocolate: 0.45.
  • Sprinkle: 0.4.

Hence the amounts are given as follows:

  • Strawberry: 15, as 0.15 x 100 = 15.
  • Chocolate: 45, as 0.45 x 100 = 45.
  • Sprinkle: 40, as 0.4 x 100 = 40.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
1 year ago
Based on your observations from Question 1, what is the relationship between AE and BF when DFB and CEA measure something other
VMariaS [17]

Answer:

if angle dfb and angle cea measure something other than 90degrees, then line we is not equal to line bf. in this case, line and and line cd intersect at a single point.

8 0
3 years ago
Read 2 more answers
Lia has 7 blue pencils and 28 red pencils. Maria has 14 blue pencils and 42 red pencils, and Tia has 10 blue pencils and 30 red
Sergeeva-Olga [200]
Maria and Tia have the same ratio
6 0
4 years ago
Read 2 more answers
6.1 x -1 = ? <br> please help meeeeeeeee
timurjin [86]

Answer:

-6.1

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The standard deviation of the amount in
erica [24]

Answer:

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

Step-by-step explanation:

Assuming the following data:"12.14 12.05 12.27 11.89 12.06

12.14 12.05 12.38 11.92 12.14"

We can calculate the sample deviation with this formula:

s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

n=10 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =0.0217 represent the sample variance

\sigma^2_0 =0.12^2= 0.0144 represent the value to verify

Null and alternative hypothesis

We want to determine whether the standard deviation differs from 0.12 ounce, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 = 0.0144

Alternative hypothesis: \sigma^2 \neq 0.0144

The statistic can be calculated like this;

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

\chi^2 =\frac{10-1}{0.0144} 0.0217 =13.54

The degrees of freedom are:

df=n-1=10-1=9

Now we can calculate the p value using the alternative hypothesis:

p_v =2*P(\chi^2 >13.54)=0.279

Since the p value is higher than the signficance level assumed of 0.05 we have enough evidence to FAIL to reject the null hypothesis and there is no evidence to conclude that the true deviation differs from 0.12 ounces

7 0
3 years ago
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