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3 years ago

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
W(1,8),X(7,8),Y(4,5), and Z(1,2)

The length of WY = $\sqrt{(4-1)^2 + (5-8)^2}$ = 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 = $\sqrt{(4-7)^2 + (5-8)^2}$ = 3√2
The length of ZY = $\sqrt{(1-4)^2 + (2-5)^2}$ = 3√2

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

∴ ΔWYZ is congruent to ΔWYX by SSS method

5 0

3 years ago

Determine the cost per pound: 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.

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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

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