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matrenka [14]
3 years ago
10

Use the figure below to find the values of x and y

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

x=40° and y=50°

Step-by-step explanation:

45°+50°+2x+5=180°

100°+2x=180<-- subtract 100 to get x on one side

2x=80

x=40. Thus 2(40)+5 = 85.

85°+55°+x°=180

140°+x=180

x=40°

40°+90°(right angle)=130°, so 180 -130 would equal 50.

y=50°

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Pablo buys a mattress set for 15% of the regular price and uses a coupon for 20% off the reduced price. If Pablo paid $1223.32 f
geniusboy [140]

Answer:

$1799

Step-by-step explanation:

We simply work backwards and write out an equation.

Lets call the initial price P.

First we have 15% off the initial price P which means that we are only paying 85% of the initial price: .85*P.

Next we use a coupon for 20% off the reduced price which means we only pay 80% of the reduced price: .80 * (.85 * P)

We know that the price paid was $1223.32, set that equal to .80 * (.85 * P)

and we find that P is $1799

4 0
4 years ago
What ordered pair describes the location of point P?
hammer [34]
(3,4) the run (x) comes first which was the 3 and then the rise (y) comes second and it is 4
8 0
3 years ago
Read 2 more answers
Select all the expressions with a product equal to 2/3?
Arturiano [62]

Answer:

A. 2 Divided by 3              is  2/3

B. 3 Divided by 2               is 3/2, or 1 1/2

C. 3 Divided by 1/3             is 3/(1/3) = 3*(3/1) = 3*3 = 9

D. 2 Divided by 1/3            is 2/(1/3) = 2*(3/1) = 2*3 = 6

Step-by-step explanation:

8 0
3 years ago
PLEASEE help I’m really confused
maksim [4K]

Answer:

\frac{13}{\sqrt5}

Step-by-step explanation:

To get the shortest distance from a point to a line, we need to find a perpendicular line that intersects the line and also intersects the line. We know the slope of the line will be 1/2, but to find the y-intercept, we can just plug it into the point because we already know it will be on the line.

-3 = 1/2(-2)+c

-3 = -1+c

-2 = c

Now, we know the slope and the y-intercept, and since it will intersect the other line, we can set it equal to the other lines formula:

1/2x-2 = -2x+6

5/2x=8

x=16/5

Now, plugging this value of x into any of the equations, we can find the y-coordinate:

16/5(1/2)-2 = -2/5

We have the point (16/5, -2/5)

Now, we need to find the distance between (-2, -3) and (16/5, -2/5)

Plugging into distance formula:

\sqrt{(-2 - \frac{16}{5})^2+(-3-(-\frac{2}{5}))^2}\\=  \sqrt{(-5.2)^2+(-2.6)^2}\\= \sqrt{33.8}

= =\frac{13}{\sqrt5}

3 0
3 years ago
Read 2 more answers
NEED HELP ASAP
KengaRu [80]

Answer:

Part 1) Triangle GHI, JKL

Part 2) (40*15)and(8*3), (18*6)and(4.5*1.5)

Step-by-step explanation:

we know that

If two figures are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

<u>case a)</u> triangle GHI

If ABC and GHI are similar

then

\frac{4}{24}=\frac{3}{7}=\frac{5}{25}

but

0.17 \neq 0.43 \neq \ 0.20

therefore

Triangle GHI is not similar to triangle ABC

<u>case b)</u> triangle DEF

If ABC and DEF are similar

then

\frac{4}{44}=\frac{3}{33}=\frac{5}{55}

0.09=0.09=0.09

therefore

Triangle DEF is similar to triangle ABC

<u>case c)</u> triangle MNO

If ABC and MNO are similar

then

\frac{4}{10}=\frac{3}{7.5}=\frac{5}{12.5}

0.4=0.4=0.4

therefore

Triangle MNO is similar to triangle ABC

<u>case d)</u> triangle JKL

If ABC and JKL are similar

then

\frac{4}{21}=\frac{3}{20}=\frac{5}{29}

0.19 \neq 0.15 \neq 0.17

therefore

Triangle JKL is not similar to triangle ABC

Part 2)

case a) If the rectangles are similar, then

\frac{40}{8}=\frac{15}{3}

5=5

therefore

the rectangles are similar

case b) If the rectangles are similar, then

\frac{18}{4.5}=\frac{6}{1.5}

4=4

therefore

the rectangles are similar

case c) If the rectangles are similar, then

\frac{1,225}{3.5}=\frac{144}{1.2}

350\neq120

therefore

the rectangles are not similar

case d) If the rectangles are similar, then

\frac{13}{5.2}=\frac{5}{2.5}

2.5\neq 2

therefore

the rectangles are not similar


3 0
4 years ago
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