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1 year ago

Find the measure of b and d given that m||n.

Mathematics

1 answer:

MrRa [10]1 year ago

5 0

Answer:

b = 61.1° , d = 43.7°

Step-by-step explanation:

b and 61.1° are alternate angles and are congruent , so

b = 61.1°

d and 43.7° are alternate angles and are congruent , so

d = 43.7°

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A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

Aleonysh [2.5K]

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

$Area = 135yd^2$

$L=3W - 12$

Required

Determine the length of the rectangle:

Area is calculated as thus:

$Area = L * W$

Substitute 3W - 12 for L and 135 for Area

$135= (3W - 12) * W$

$135= 3W^2 - 12W$

Reorder:

$3W^2 - 12W - 135= 0$

Divide through by 3

$W^2 - 4W - 45 = 0$

Expand:

$W^2 - 9W + 5W - 45 = 0$

$W(W - 9) + 5(W - 9) = 0$

$(W + 5)(W-9) = 0$

$W + 5 = 0$ or $W - 9 = 0$

$W = -5$ or $W = 9$

But width can't be negative

So:

$W = 9$

Recall that: $L=3W - 12$

$L = 3 * 9 - 12$

$L = 15$

Hence, the length 15 yards

4 0

3 years ago

The equation that models this trip is T= 36x + 60 where T represents the total cost for the group to take the trip and X equals

Archy [21]

We are given

The equation that models this trip is T= 36x + 60

T represents the total cost for the group to take the trip and

X equals the number of people going

we know that

Domain is all possible values of x for which any function is defined

Since, number of people can neither be negative nor in decimals

so, x can not be negative or in decimals

now, we will check each options

option-A:

x=40

This is positive and whole number

so, this can be domain

so, this is TRUE

option-B:

x=60

This is positive and whole number

so, this can be domain

so, this is TRUE

option-C:

0< x< 40

It also includes decimals numbers

and we know that

x can not be in decimals

so, this is FALSE

option-D:

0< x< 39

It also includes decimals numbers

and we know that

x can not be in decimals

so, this is FALSE

4 0

2 years ago

Read 2 more answers

RDY AND NDA are what?

madam [21]

Answer:

Vertical and Supplementary

Step-by-step explanation:

Vertical:

each of the pairs of opposite angles made by two intersecting lines.

Supplementary:

Two Angles are Supplementary when they add up to 180 degrees. These two angles (140° and 40°) are Supplementary Angles, because they add up to 180°: Notice that together they make a straight angle. But the angles don't have to be together.

8 0

2 years ago

Can someone help me please ?!!! 15 points please

ASHA 777 [7]

Answer: c.+dhf+2-4= 6)

Step-by-step explanation: Hope this helps!

7 0

3 years ago

1.The amount of space around an object.

Mekhanik [1.2K]

Answer:

Mass
Surface area
Volume

Step-by-step explanation:

The size of a surface. The amount of space inside the boundary of a flat (2-dimensional) object such as a triangle or circle, or surface of a solid (3-dimensional) object

Mass

A property of a physical body and a measure of its resistance to acceleration when a net force is applied.

Surface

The area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Volume

The Measure of the amount of space that a substance or an object takes up.

8 0

2 years ago