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jarptica [38.1K]
3 years ago
14

What is the area of the following shape

Mathematics
2 answers:
ycow [4]3 years ago
8 0
Multiply 22 by 12 and ge tthe answer
Vesnalui [34]3 years ago
8 0
Area of trapezoid: sum of bases*height/2
12/2(14+22)= 6(36)= 216 cm^2
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I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
Find the Area. Use 3.14 for Pi. Label your answer with ft2.
aivan3 [116]

Answer:

133.04ft²

Step-by-step explanation:

Area of a circle is:

A=\pi r^2\\\\r - \text{Radius.}

We are given the diameter. The radius of the given circle is 6. Note that the diameter is twice the radius.

Using 3.14 for pi:

A=3.14(6)^2\\\\A=3.14*36\\\\A\text{ } $$\approx$$\text{ }113.04

The area is appropriately 133.04ft².

Hope this helps.

8 0
3 years ago
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Y+3=−4(x+7)<br> what is the slope&gt;
Wewaii [24]

Answer:

......Im pretty sure its -4

7 0
3 years ago
Read 2 more answers
Which number is IRRATIONAL?
Irina18 [472]

Answer:

√27

Step-by-step explanation:

√9, √36, and √81 are rational

4 0
3 years ago
Which of the following algebraic expressions could represent thirty less than one-half the value of x?
mylen [45]

Answer: x/2-30

Step-by-step explanation: half= divide by 2 30 less= minus 30

6 0
3 years ago
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