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3 years ago

7

Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then sele

ct none.
When m∠3 = m∠B

AB || DC
AD || BC
None

1 answer:

Volgvan3 years ago

5 0

Answer:

I don't know the answer but I know it is not AB II DC because I did this assignment and got this wrong. This is just to narrow your answer choices down, sorry if this isn't helpful.

Step-by-step explanation:

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The face of the triangular concrete panel shown has an area of 22 square meters, and its base is 3 meters longer than twice its

Elodia [21]

Answer:

The length of the base is 11 meters.

Step-by-step explanation:

The diagram of the triangle is not shown; However, the given details are enough to solve this question.

Given

<em>Shape: Triangle</em>

<em>Represent the height with h and the base with b</em>

$b = 3 + 2h$

$Area = 22$

Required

Find the length of the base

The area of a triangle is calculated as thus;

$Area = \frac{1}{2} * b * h$

Substitute 22 for Area and 3 + 2h for b

The formula becomes

$22 = \frac{1}{2} * (3 + 2h) * h$

Multiply both sides by 2

$2 * 22 = 2 * \frac{1}{2} * (3 + 2h) * h$

$44 = (3 + 2h) * h$

Open the bracket

$44 = 3 * h + 2h * h$

$44 = 3h + 2h^2$

Subtract 44 from both sides

$44 - 44 = 3h + 2h^2 - 44$

$0 = 3h + 2h^2 - 44$

Rearrange

$0 = 2h^2 +3h - 44$

$2h^2 +3h - 44 = 0$

At this point, we have a quadratic equation; which is solved as follows:

$2h^2 +3h - 44 = 0$

$2h^2 + 11h - 8h - 44 = 0$

$h(2h + 11) - 4(2h + 11) = 0$

$(h - 4)(2h + 11) = 0$

Split the above

$(h - 4) = 0\ or\ (2h + 11) = 0$

$h - 4 = 0\ or\ 2h + 11 = 0$

Solve the above linear equations separately

$h - 4 = 0$

Add 4 to both sides

$h - 4 + 4 = 0 + 4$

$h = 0 + 4$

$h = 4$ ---- <em>First value of h</em>

$2h + 11 = 0$

Subtract 11 from both sides

$2h + 11 - 11 = 0 - 11$

$2h = 0 - 11$

$2h = -11$

Divide both sides by 2

$\frac{2h}{2} = -\frac{11}{2}$

$h = -\frac{11}{2}$ <em> ------ Second value of h</em>

Since height can be negative, we'll discard $h = -\frac{11}{2}$

Hence, the usable value of height is $h = 4$

Recall that $b = 3 + 2h$

Substitute 4 for h

$b = 3 + 2(4)$

$b = 3 + 8$

$b = 11$

Hence, the length of the base is 11 meters

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3 years ago

How do you show the distributive property to find the product of 7 and 56?

Rama09 [41]

Answer:

Step-by-step explanation:

first you would add 7 and 56, then after getting 63 you would split 63 into two numbers (36 and 27) and write it like this:

1(36 and 27)

hope this helps! not sure if its what the concepts asking but fingers crossed! goodluck

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3 years ago

Gabriel works at an amusement park. He loads 15 new passengers onto the roller coaster every 5/6 of a minute. At what rate does

dem82 [27]

Answer:

12 1/2 or 12.5

Step-by-step explanation:

all you have to do is multiply 15 times 5/6

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3 years ago

A pack of six cans of coffee cost 12$ . How much would 15 cans of coffee cost

Vera_Pavlovna [14]

$30 because 12/6 = 2 so 15 x 2 = 30

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3 years ago

if an external point of a circle is at a distance equal to the diameter of the circle from the center of the circle, the length

jeka57 [31]

Let the radius of the circle be r. Then the line from the external point through the center of the circle which extends to the far point on the circle has length 3r .By the tangent - secant theorem

t^2 = 3r * r = 3r^2 ( where t is the length of the tangent).

So t = √(3r^2) = √3r answer.

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3 years ago