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Norma-Jean [14]
1 year ago
13

In the diagram below, if < A = 97 °, < B = 46 °, < D = 97 ° and < F = 37 °, we can say that

Mathematics
1 answer:
sdas [7]1 year ago
8 0

Answer:

  (a)  The two triangles are similar by AA

Step-by-step explanation:

Similar triangles have congruent corresponding angles and proportional corresponding side lengths.

<h3>Third angle</h3>

The third angle in triangle ABC is found using the fact that the sum of angles is 180°.

  ∠C = 180° -∠A -∠B

  ∠C = 180° -97° -46° = 37°

Two of the angles, A and C, match the measures of two of the angles in triangle DEF. The matches are ...

  ∠A = ∠D = 97°

  ∠C = ∠F = 37°

The two triangles are similar by AA.

__

<em>Additional comment</em>

The similarity statement can be ΔABC ~ ΔDEF.

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I need help im gonna post 3 more different questions pls answer them.
Arisa [49]

Answer:

15

Step-by-step explanation:

x³ - (3 + x)²

4³ - (3 + 4)²

8 0
3 years ago
Find the interquartile range of the data.
likoan [24]

The answer is 14. Here is how I work it out.


First we are going have to identify quartile 1 and quartile 3.


So after putting the numbers in order from least to greatest mark the number with a half way point.

This is optional but it will help us spot the sections better.


31,33,35,41,43,|46,48,49,49,50

Next put parentheses around the remaining groups of numbers.

(31,33,35,41,43,)|(46,48,49,49,50)


For the next step we have to find the median of each group.


(31,33,35,41,43,)|(46,48,49,49,50)


The median of each group, are called the quartiles, the median of the lower half is quartile 1, and the median of the upper half is quartile 3.


Now subtract quartile 1 from quartile 3.


49 – 35 = 14


So the interquartile range of this data set is 14.

4 0
3 years ago
The table below shows the temperature in degrees for eight consecutive days as well as the respective number of ice cream cones
cricket20 [7]

Answer:

We have to find the equation of least squares regression line in order to find the number of ice cream cones that the shopkeeper to sell if the temperature is 106 degrees. We can use excel regression data analysis tool to find the equation of the regression line. The excel output is attached here.

The equation of the least squares regression line is:

\hat{y}=46.587+5.080x

Now, if the temperature is 106 degrees, then the number of cones expected to be sold is given below:

\hat{y}=46.587+5.080 \times 106

         =585.1 \approx 585

Therefore, the number of ice cream cones that the shopkeeper would expect to sell if the temperature is 106 degrees is 585.



6 0
3 years ago
-4+3b^2=143<br><br> Simplest radical form
Karolina [17]

Answer:

- 4 + 3b {}^{2 }  = 143 \\ 3b {}^{2}  = 143 + 4 \\ 3b {}^{2} = 147 \\ b {}^{2}   =  \frac{147}{3}  \\ b {}^{2}  = 49 \\ b = 7

3 0
2 years ago
Find the answer<br> 5/8 + (2/3 - 1/4) =
Olin [163]

Answer:

25/24

Step-by-step explanation:

simplify: 2/3-1/4 to 5/12

5/8+5/12

=25/24

5 0
2 years ago
Read 2 more answers
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