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3 years ago

Please help.....………………

Mathematics

2 answers:

Alik [6]3 years ago

4 0

Answer:

50°

Step-by-step explanation:

7x - 20 + 4x + 90 = 180

11x = 180 - 70

11x = 110

x = 10

ACB: 7(10) - 20 = 50

nlexa [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The sum of the angles of a triangle is 180

A +B +C = 180

90 +4x+ 7x-20 =180

Combine like terms

70+ 11x = 180

Subtract 70 from each side

70-70+11x = 180-70

11x=110

Divide each side by 11

11x/11= 110/11

x = 10

We want to find angle C

C = 7x-20

= 7*10-20

= 70-20

= 50

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The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

16 POINTS HELP ASAP plzzzzzzzzz

schepotkina [342]

Answer:

$\large\boxed{\large\boxed{\sqrt{3}$