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Mademuasel [1]
3 years ago
13

Help please quickly thank you so much

Mathematics
2 answers:
vredina [299]3 years ago
5 0

Answer:

x = 128

Step-by-step explanation:

All angles in any quadrilaterals(any shape with 4 sides) add up to 360. There are two right angles in the trapezoid which represents 90 degrees. We are also given the angle 52 degrees. To find x, we need to add all the values together and subtract from 360. To do this the equation should look like this: 90 + 90 + 52 + x =360. This simplifies to 232 + x = 360. Then we subtract 232 from both sides to find x. x = 128.

STALIN [3.7K]3 years ago
4 0

Answer:

120 deg

Step-by-step explanation:

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1
olga nikolaevna [1]

Answer:

Fraction of the original board left = \frac{2}{15}

Step-by-step explanation:

Let the length of the board is = l feet

Marty saws off \frac{1}{5} of a wooden board.

Length of the board left = l - (\frac{1}{5})l

                                        = (\frac{4}{5})l feet

He saws off \frac{3}{4}th of the remaining board,

Board left = (\frac{4}{5})l-[(\frac{4}{5})l\times (\frac{3}{4})]

                = \frac{4}{5}l-\frac{3}{5}l

                = \frac{1}{5}l feet

He finally saws off \frac{1}{3}rd of the remaining board.

Board left = \frac{1}{5}l-[\frac{1}{5}\times \frac{1}{3}]l

                = (\frac{1}{5}-\frac{1}{15})l

                = \frac{2}{15}l feet

Fraction of the original board left = \frac{\frac{2}{15}l}{l}

                                                       = \frac{2}{15}

6 0
2 years ago
Find z of the diagonal triangle. <br> Also, complete b.
STatiana [176]

Answer:

x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.

Total area of wood = 2942.54 cm^2.

Step-by-step explanation:

sin 15 =8/x

x = 8 / sin 15

x = 30.91 cm.

and

tan 15 = 8/y

y = 8 / tan 15

= 29.86 cm.

The value of z can be found using the Pythagoras theorem:

50^2 = x^2 + z^2

z^2 =  20^2 - x^2 = 50^2 - 30.91^2

z^2 = 1554.57

z = √1554.57

=  39.30 cm.

b.  The area consists of 3 rectangles :- 1. sides x and z  2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.

Total area = 30.91  * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86

=  2942.54 cm^2.

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