When you subtract a number, you get the same result as when you add the opposite of that number. Why?

Answer:PR = 64; m∠2 = 63°; m∠RSI = 54°

because GRIP is a rectangle

=>PR = GI = 2PS

<=> 10x + 4 = 2.(6x - 4)

<=> 10x + 4 = 12x - 8

<=> 2x = 12

<=> x = 6

because PR = GI => PR = 10x + 4 = 10.6 + 4 = 64

GRIP is a rectangle => PS = SI

=> ΔPSI is a isosceles triangle

=> m∠1 = m∠2

but m∠2 + m∠3 = 90°

=> m∠1 + m∠3 = 90°

<=> 2y + 7 + 6y + 3 = 90

<=> 8y + 10 = 90

<=> 8y = 80

<=> y = 10

with y = 10 => m∠2 = 2.10 + 7 = 27

we also have: RS = SI

=> ΔRSI is a isosceles triangle

=> m∠3 = m∠4 = 90° - 27° = 63°

=> m∠RSI = 180° - 63°.2 = 54°

Step-by-step explanation:

Answer:

C. obtuse

Step-by-step explanation:

Obstuse is a triangle with ONE angle bigger than 90 degrees.

The triangle ΔBCD will be an acute triangle. Then the correct option is B.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The measure of the angle BCD is 70°. And the exterior angle of the angle BDC is 130°. The sum of the interior and exterior angles is 180°. Then the measure of the angle BDC will be

∠BDC + 130° = 180°

∠BDC = 50°

Then the measure of angle CBD will be given as,

∠CBD + ∠BDC + ∠DCB = 180°

∠CBD + 70° + 50° = 180°

∠CBD = 60°

The measure of all the angles of the triangle is less than 90°. Then the triangle ΔBCD will be an acute triangle. Then the correct option is B.

More about the triangle link is given below.

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Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

P(AP Calculus) = 45%

P(AP statistics n AP Calculus) = 30%

Probability of AP statistics or AP Calculus but not both :

Probability of event A or B :

P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

The probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A large high school offers AP Statistics and AP Calculus. Among the seniors in this school,

Probabily of hapnning event A or event B, but not both can be given as,

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

In the problem, we have,

[tex]P(A)=0.65\\P(B)=0.45\\P(A\cap B)=0.30[/tex]

Put the values in the above formula as,

[tex]P(A\cup B)=0.65+0.45-0.30\\P(A\cup B)=0.80\\P(A\cup B)=80\%[/tex]

Thus, the probability of being a senior in the AP Statistics or AP Calculus but not both when selected randomly is 0.8 or 80%.

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Answer:Joan's height is 127 centimetres

Step-by-step explanation:

 Step 1

Joan  is  4 feet 2 inches tall and we want to change to centimeters .

we first change her height to inches

1 Foot = 12 Inches

Therefore  4 Feet = 4 x 12 = 48 inches

Total height in inches =48 inches + 2 Inches = 50 inches

Step 2 --Now, we have gotten her height in inches, we can now  change  to centimetres.

We have that

 1  inch =2.54 centimeters

50inches = 50 x 2.54 cm

=127 centmeters.

Joan's height is 127 centimetres

Answer:

0.5 m

Step-by-step explanation:

5÷20=0.25

0.25×2=0.5

Answer:

D

Step-by-step explanation:

Answer: -6

(-54)-(-30)=-24

11-7=4

-24/4=-6

I hope this is good enough:

Answer:

Continuous

Step-by-step explanation:

Answer:

Rotate Figure L 135 degrees counterclockwise around the point of intersection of the arms. Reflect across the right arm

Step-by-step explanation:

Answer:

a=43

Step-by-step explanation:

triangle equals 180.

180-47-90=43

Answer:43

Explanation

PQ=QR

QPR=QRP=47 (angles opposite to equal sides are equal)

PQR= 180-(47+47) = 86

a= 86/2 = 43

Answer:

5/6 of an hour is 50 minutes.

Step-by-step explanation:

There are 60 minutes in 1 hour

5/6 = 50/60

If it is the same amount of time for all the skills, it would be 50 minutes in each skill.

Hope this helps. <3

The time Patty spent on each equipment of the gymnastics class is given by A = 1/6 of an hour on each skill

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

To find out how much time Patty spent on each skill, we can divide the total duration of Patty's gymnastics class by the number of skills she practices.

Given that Patty's gymnastics class is 5/6 of an hour long, we can represent the duration of the class as 5/6 hours.

Let's denote the time Patty spent on each skill as "x" hours.

Total time = 5x

The total duration of Patty's gymnastics class is 5/6 hours.

On simplifying the equation , we get

5x = 5/6

Divide by 5 on both sides , we get

5x/5 = (5/6)/5

x = 1/6

Hence , Patty spent 1/6 hours on each skill, or in other words, 1/6 of an hour on each skill

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Step-by-step explanation:

im not quite sure

but I believe it is 97

Answer: I thought I saw options in the corner could you give me the options? And then I'll give my answer in the comment box;) no worries we'll figure it out!! :)

Step-by-step explanation:

Answer:

Area is 68x^2 the missing number by 3x is 5 and the missing number at the bottom is 4.

Step-by-step explanation:

Answer:

[tex]r\approx 162~units[/tex]

Step-by-step explanation:

The Circumference of a Circle

The circumference is the arc length of the circle.

A circle with radius r has a circumference calculated by:

[tex]C=2\pi\cdot r[/tex]

If we are given the circumference, the radius can be calculated by solving the equation for r:

[tex]\displaystyle r=\frac{C}{2\pi}[/tex]

The circumference of the circle is 1,017.36 units. Calculating the radius:

[tex]\displaystyle r=\frac{1,017.36}{2\pi}[/tex]

[tex]\mathbf{r\approx 162~units}[/tex]

Answer:

i believe the answer is a. There are no solutions to the system because the equations represent parallel lines.

Step-by-step explanation:

Answer:

There are infinitely many solutions to the system because the equations represent the same line.

Step-by-step explanation:

Answer:

1.

Step-by-step explanation:3+3.4+0.5=6.9

6.9x-16 because -26-9=-16 6.9x-16 is the expression. good luck with this equivilant expressions quiz!

$1.67 for each pound of glass

Answer:

-4

Step-by-step explanation:

12-16 is -4

have a GREat day

Answer: 0.15

Step-by-step explanation: . . .

Answer:

8.5 inches

Step-by-step explanation:

5% of 10 == .5

.5 x 3 = 1.5

10 - 1.5 = 8.5

Answer:

gradient = -4/3

Step-by-step explanation:

information not complete, but this is the equation of a straight line, and assume you want to know the gradient

3y = 8 - 4x

3y = -4x + 8

dividing both sides by 3

y = -4/3x + 8/3

comparing the equation to equation of a straight line;

y = mx + c

m = -4/3

Answer:

Step-by-step explanation:

Simplifying

(x + 7) * 2 = 81

Reorder the terms:

(7 + x) * 2 = 81

Reorder the terms for easier multiplication:

2(7 + x) = 81

(7 * 2 + x * 2) = 81

(14 + 2x) = 81

Solving

14 + 2x = 81

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + 2x = 81 + -14

Combine like terms: 14 + -14 = 0

0 + 2x = 81 + -14

2x = 81 + -14

Combine like terms: 81 + -14 = 67

2x = 67

Divide each side by '2'.

x = 33.5

Simplifying

x = 33.5

Answer:

x=16,−2

Step-by-step explanation:

Answer:

D. 13

Step-by-step explanation:

Replace all variables of x, with the given value! Hope this helps!

Complete question :

Tony worked 4 2/3 hours on his science project. Sonia worked 1 1/4 times as long on her science project as Tony did. For how many hours did Sonia work on her science project?

Answer:

5 5/6 hours

Step-by-step explanation:

Given that :

Hours worked by Tony = 4 2/3

Hours worked by Sonia = 1 1/4 times as long as Tony

Hence, hours worked by Sonia = 1 1/4 * 4 2/3

5/4 * 14/3

= 70 / 12

= 5 10/12

= 5 5/6 hours