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Sergeeva-Olga [200]
3 years ago
13

point q is located at (18, 5). The x-coordinate of point r id half as much as the x-coordinate of point Q The y-coordinate of po

int r is 3 more than the y-coordinate of point q
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

Answer:

R (27, 8)

Step-by-step explanation:

The coordinate plane is a two-dimensional plane consisting of the y axis (vertical line) and x-axis (horizontal line). The origin is known as the zero point (reference point) is the intersection of the x axis and y axis.

A point on the coordinate plane is represented by (x, y) where x is the x coordinate and y the y coordinate.

Given point Q = (18, 5), the x coordinate is 18 and the y coordinate is 5.

Let the location of point R = (a, b)

a = x-coordinate of point Q + 1/2 of x-coordinate of point Q = 18 + (1/2)*18 = 27

b = y-coordinate of point Q + 3 = 5 + 3 = 8

Therefore R = (27, 8)

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Answer: ↓↓↓

Step-by-step explanation:

1. EF || HG, HE || FG

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2 years ago
An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
There are 48 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/4 of the remaining students gave
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Step-by-step explanation:

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8 0
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A worm walks 40cm in 8 minutes. Give both unit rates. Make sure you include the unit for each. (Total 8 points: 2 points for eac
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Use the game spinner for questions 1-4. In your final answer, include all necessary calculations.
IrinaVladis [17]

Answer:

P (Even number)  =  1/2

P(spinner will land on an odd number) = 1/2

P(spinner will not land on 2 or 3)  = 3/4

P(spinner will not land on a multiple of 3)  = 3/4

Step-by-step explanation:

Here, while spinning the spinner total possible outcomes

are 8 = {1,2,3,4,5,6,7,8}

Now, \textrm{P(E)}  = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}

a) E: Probability of getting even number

Favorable outcomes are {2,4,6,8}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

b)E: Probability  that the spinner will land on an odd number.

Favorable outcomes are {1,3,5,7}

Hence, P(E) = \frac{4}{8}  = \frac{1}{2}

c) E: Probability  that the spinner will not land on 2 or 3

Favorable outcomes are {1, 4,5,6,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

d) E: Probability  that the spinner will not land on a multiple of 3

Favorable outcomes are {1,2,4,5,7,8}

Hence, P(E) = \frac{6}{8}  = \frac{3}{4}

3 0
3 years ago
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