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2 years ago

14

Subtracting a number is the same as adding its opposite.

1 answer:

statuscvo [17]2 years ago

4 0

Answer:

in first question, answer is 12

in second question, answer is -12

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In circle O, RT and SU are diameters. If m = m, what is m? 47° 52° 64° 87°

vlada-n [284]

From the given figure, it can be seen that 13x = 15x - 8 because they are vertical angles and thus are equal.

13x = 15x - 8
15x - 13x = 8
2x = 8
x = 8/2 = 4

Thus, 15x - 8 = 15(4) - 8 = 60 - 8 = 52.

RT is a diameter, which means that mRT = 180

mRV + mVU + 52 = 180

mRV + mVU = 180 - 52 = 128

Now, given that mRV = mVU,

Thus, 2mVU = 128

Therefore, mVU = 128 / 2 = 64°

8 0

3 years ago

Read 2 more answers

What is the measure of angle A in the triangle?<br> Enter your answer in the box.<br> mZA=

stepladder [879]

Answer:

50

Step-by-step explanation:

The sum of the angles of a triangle add to 180 degrees

A + B + C = 180

2x-10 + 70+ x+30 = 180

Combine like terms

3x +90 = 180

Subtract 90 from each side

3x+90-90=180-90

3x= 90

Divide by 3

3x/3= 90/3

x=30

We want to find angle A

A = 2x-10

=2*30 -10

=60-10

50

6 0

3 years ago

Read 2 more answers

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

so

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

so

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

I need someone to answer asap

algol [13]

Answer:

y = 8.5

Step-by-step explanation:

7 0

3 years ago

An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w

svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

= $3.57

Percentage of reduction = $\frac{difference}{original} X 100$

$= \frac{3.57}{21} X 100\\\\= 17$

Therefore, percentage of reduction is 17%

7 0

2 years ago