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blondinia [14]
3 years ago
12

a rectangle is drawn so the width is 28 inches longer than the height. If the rectangle's diagonal measurement is 52 inches find

the height
Mathematics
1 answer:
zalisa [80]3 years ago
8 0

Answer:

A) W = 28 + H

B) W * H = 52

A) Height = W -28

B) W * (W -28) = 52

B) W^2 -28W = 52

W^2 - 28W - 52 = 0

Width = 29.748

Height = 1.748

Step-by-step explanation:

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During a figure skating routine, Jackie and Peter skate apart with an angle of 15° between them. Jackie skates for 5 meters and
Fantom [35]

Answer:

Ans = 2.53m

Step-by-step explanation:

It is a simple law of Cosine, on a right-angle triangle draw the length as 5 and the base as 7 the angle is 15°. Find x.

So x = 5² +7² - 2 (5) (7)cos 15°

Solve this and you get your answer.

Hope this was helpful :)

7 0
3 years ago
Write the equation of the line with a slope of 3/7 passing through the point (9,-2) in standard or slope-point form? ...?
Musya8 [376]
y-y_1=m(x-x_1)
\\
\\ m= \frac{3}{7} 
\\
\\(9,-2) \Rightarrow x_1=9,y_1=-2
\\
\\ y-(-2)=\frac{3}{7} (x-9)
\\
\\y+2=\frac{3}{7}x-\frac{27}{7}
\\
\\y=\frac{3}{7}x-\frac{27}{7}-2
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\\y=\frac{3}{7}x-\frac{41}{7}
7 0
3 years ago
Help me with this and you will be awarded handsomely.
olya-2409 [2.1K]

Answer:

1. 51

2.25

3.104

4.31

5.41

Step-by-step explanation:

7 0
4 years ago
If △STU is similar to △XYZ, the sides of △STU must be congruent to thecorresponding sides of △XYZ.A. TrueB. False
katovenus [111]

Similar triangles are triangles that have the same interior angles and the corresponding sides are proportional, that is, for triangles STU and XYZ we have the proportion:

\frac{ST}{XY}=\frac{TU}{YZ}=\frac{SU}{XZ}

The corresponding sides are congruent only if the proportion rate is 1, but that is not always true and it's not necessary.

Therefore the correct option is B: False

If the corresponding sides are congruent, the triangles are congruent.

7 0
1 year ago
Consider the angle. Which TWO statements are true?
svetoff [14.1K]

Answer:

C, E

Step-by-step explanation:

A. INCORRECT

A is wrong because a reflection across the x-axis DOES move the position of the figure (as it is flipped, so the position changes), but it DOES NOT change the angle (since a shift in position doesn't equal to a change in angle measure)

B. INCORRECT

Although a reflection across the x-axis does change the position of the angle, it DOES NOT change the measure of the angle.

C. CORRECT

A reflection across the x-axis does in fact move the position of the figure and does not change the angle measure. Reflections only deal with flipping a figure, not changing it's shape/distorting it so that the angle will change.

D. INCORRECT

A translation right will change the position of the figure but will not change the measure of the angle.

E. CORRECT

Yes, a translation right WILL change the position of the figure but will NOT change the measure of the angle. This is because a translation is simply moving a figure up and down; it has nothing to do with changing the shape of the figure/distorting it so that the angle is different.

8 0
4 years ago
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