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3 years ago

Please show work. Geometry question

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B

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If 3 boxes of apples weigh 105 pounds, how much would 2 boxes of apples weigh?

Elina [12.6K]

Answer:

70 pounds

Step-by-step explanation:

3 boxes= 105 pounds

2boxes= x pounds

Cross Multiply

3*x=105 *2

3x=210

3x/3=210/3

x=70 pounds

8 0

4 years ago

Read 2 more answers

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

8 0

3 years ago

I need help please if m<MNR=43 and m<MNP=84 find: m<RNP subtract or add

Zielflug [23.3K]

Answer:

41°

Step-by-step explanation:

The angle addition theorem tells you ...

m∠MNR + m∠RNP = m∠MNP

Filling in the given values, you have ...

43° + m∠RNP = 84°

Subtract 43° from both sides of the equation to find the angle of interest:

m∠RNP = 84° - 43° = 41°

The measure of angle RNP is 41°.

7 0

3 years ago

An archway will be constructed over a walkway. A piece of wood will need to be curved to match a parabola. Explain to Maurice ho

mariarad [96]

Ok

so the focus is on the opening side of the parabola

so for a vertex of (h,k)
opening up and down
(x-h)²=4p(y-k)
p is the distance from vertex to focus
it is also the distance from the vertex to the closes point on directix
2p=distance from focus to directix

p is positive if the focus is above the directix

ok
y=9 and (7,6)
9>6
directix is above the vertex
p is negative
find distance
from 9 to 6 is 3
3=2p
1.5=p
p is negative
and the vertex will be 1.5 above the focus and 1.5 below the directix
vertex is (7,7.5)

(x-7)²=4(-1.5)(y-7.5) is de equation

6 0

4 years ago

How do write nine hundred ninety nine billon

exis [7]

999,000,000,000

how?

the first nine (left to right) is in the hundred billions place.

the second nine (middle) is in the ten billions place.

the last nine is in the billions place

8 0

3 years ago