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4 years ago

14

Find the measure of z

2 answers:

Andrew [12]4 years ago

7 0

Answer:

Answer z = 55

Step-by-step explanation:

Remark

I think you have to assume that the horizontal line is a straight line. If that is so, the other line, the one that looks like it is going up and to the left, cuts that horizontal line in such a way that the angles are supplementary. Supplementary angles are angles that add up to 180 degrees.

Equation

2z - 10 + 80 = 180 Combine the like terms on the left.

Solution

2z + 70 = 180 Subtract 70 from both sides.

2z + 70 - 70 = 180 - 70 Combine

2z = 110 Divide by 2

2z/2 = 110/2 Do the division

z = 55 Answer

IRISSAK [1]4 years ago

5 0

Answer:

z=55

Step-by-step explanation:

The two angles form a straight line which is 180 degrees

80 + 2z-10 = 180

Combine line terms

70 +2z = 180

Subtract 70 from each side

70-70 +2z= 180 -70

2z = 110

Divide by 2

2z/2 = 110/2

z = 55

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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?

Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

$T = (1, 8)$

$E =(3, 8)$

$X =(6, 2)$

$A=(3, 2)$

$S = (1, 4)$

The area of the pentagon is then calculated using:

$Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|$

So, we have:

$Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|$

Simplify the expressions in both brackets

$Area = \frac 12|46 -84|$

$Area = \frac 12|-38|$

Remove absolute bracket

$Area = \frac 12 \times 38$

$Area = 19$

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0

2 years ago

A boat rental charges a flat fee of $45 and $4 per hour. Which expression represents the total cost to rent a boat for h hours

vichka [17]

Answer:

45h+ 4

Step-by-step explanation:

you got to divide but the expression is 45h+4

5 0

3 years ago

Choose the correct equation to solve the problem: Five friends equally split a restaurant bill that comes to $32.50. How much do

Daniel [21]

5x = 32.50. and each of them pay $6.50

4 0

3 years ago

A car covered a certain distance at a speed of 24 mph. While returning, the car covered the same distance at a speed of 16 mph.

Ymorist [56]

Answer:

19.2 mph

Step-by-step explanation:

just trust me

7 0

3 years ago

hey i know this may be a lame question but can anyone help me how can i multiply 16 with 3,142 (with steps) ?? :/

vovangra [49]

Answer:

50272

Step-by-step explanation:

Okay how I solve these equations is I take the problem apart like this:

3142 = 3000 + 100 + 40 + 2

Now we multiply each number by 16:

3000 * 16 = 48000

100 * 16 = 1600

40 * 16 = 640

2 * 16 = 32

Then we add all the totals together:

48000 + 1600 + 640 + 32 = 50272

Hope this Helps ;)

8 0

3 years ago