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1 year ago

Justify the last two steps of the proof. Help pls :)

Mathematics

1 answer:

Lelu [443]1 year ago

4 0

Answer:

3. ST ≅ TS is a reflexive property

4. SSS (as we have just proved that all 3 corresponding sides are congruent)

Step-by-step explanation:

3. ST ≅ TS is a reflexive property

4. SSS (as we have just proved that all 3 corresponding sides are congruent)

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A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

cupoosta [38]

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

The correct question is

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

$d^2=x^{2}+y^{2}$

we have

$d=13\ in$

$13^2=x^{2}+y^{2}$

$169=x^{2}+y^{2}$ ----> equation A

$x=y+7$ ---> equation B

substitute equation B in equation A

$169=(y+7)^{2}+y^{2}$

solve for y

$169=y^2+14y+49+y^{2}$

$2y^2+14y+49-169=0$

$2y^2+14y-120=0$

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

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2 years ago

Where to place the lines

vazorg [7]

Use photo math it works well

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2 years ago

The area of a garden is 8 3/4 square yards. If the lenght is 1 1/4 yards , what is the length?

andrezito [222]

Answer:

The Missing Length = 7

Step-by-step explanation:

Equation: side length x side length = area

This means that if you divide the area by one of the side lengths, you'll find the other

1. Convert the numbers into decimals

8 3/4 - 8.75 (area)
1 1/4 = 1.25 (side length)

2. Divide the area by the side length

8.75 ÷ 1.25 = 7

7 is the answer.

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