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bogdanovich [222]
3 years ago
10

Solve for b2 in A=1/2 h(b1+b2), if A=16, h=4, and b1=3

Mathematics
1 answer:
icang [17]3 years ago
4 0

Answer:

b_{2} = 5

Step-by-step explanation:

Substitute the given values into the formula

16 = \frac{1}{2} × 4(3 + b_{2})

16 = 2(3 + b_{2}) ( divide both sides by 2 )

8 = 3 + b_{2} ( subtract 3 from both sides )

5 = b_{2}


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W(1,8),X(7,8),Y(4,5), and Z(1,2) select all methods you can use to prove WYZ is congruent to WYX
marin [14]
The distance between two points (x₁,y1),(x₂,y₂) is d
d= \sqrt{(x2-x1)^2 + (y2-y1)^2}

For the given problem we have
<span>W(1,8),X(7,8),Y(4,5), and Z(1,2)

The length of WY = </span>\sqrt{(4-1)^2 + (5-8)^2} = 3√2
The length of WX = \sqrt{(7-1)^2 + (8-8)^2} = 6
The length of WZ = \sqrt{(1-1)^2 + (2-8)^2} = 6
The length of XY = <span><span>\sqrt{(4-7)^2 + (5-8)^2} = 3√2
</span>The length of ZY = </span><span>\sqrt{(1-4)^2 + (2-5)^2} = 3√2

∴ WX = WZ  ⇒⇒⇒ proved
    XY = ZY   ⇒⇒⇒ proved
    WY = WY  ⇒⇒⇒ reflexive property

∴ Δ</span><span>WYZ is congruent to ΔWYX by SSS method</span>





5 0
3 years ago
Determine the cost per pound:<br> 313 pounds of apples for $10.50
Misha Larkins [42]

Answer:

3 cents

Step-by-step explanation:

Divide the cost by total pounds. 10.5 divided by 313 is 0.03.

6 0
2 years ago
HELP PLEASE. Find me the answer
REY [17]

Answer:

y = 3x -1

Step-by-step explanation:

When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...

... (2/5, 1/5), (-1/5, -8/5)

The line through these points can be found starting with a 2-point form of the equation for the line.

... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)

Filling in the point values gives ...

... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)

... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5

... y = 3x -1 . . . . . simplify

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The graph shows the original points and the line through them in red, and the dilated points and line in green.

4 0
3 years ago
Divide. Then, check with multiplication.
luda_lava [24]

Answer:

a.= 3.714

b.= 2.405

Step-by-step explanation:

a. 3.714 x 21 = 78

b. 2.405 x 37 = 89

5 0
3 years ago
Which of the following describes the correct process for solving the equation 2X -6 equals 22 and arrives at the correct solutio
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17boobs is the correct pp
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