What theorems can be used to prove the triangles are congruent?
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Answer: 1. ( 9r - 8 ) x ( r - 2 )

2. ( 5b - 3 ) x ( 5b + 3 )

Step-by-step explanation:

Subtract (1/3)x from both sides of the equation.

(1/3)(x) - (1/3)(x) + y = -(1/3)(x) + 4

0 + y = -(1/3)(x) + 4

y = -(1/3)(x) + 4

Done!

Answer:

S = 2πr + 326/r

Step-by-step explanation:

Given

Volume = 163cm³

Required

Explain why S = 2πr² + 163r is not correct

The volume (V) of a cylinder is:

V = πr²h ----- (1)

And the surface area (S) is:

S = 2πr² + 2πrh ----- (2)

Make h the subject in (1)

h = V/πr²

Substitute V/πr² for h in (2)

S = 2πr² + 2πr(V/πr²)

Simplify the express in bracket

S = 2πr² + (2πrV)/(πr²)

S = 2πr² + 2V/r

Substitute 163 for V

S = 2πr + 2 * 163/r

S = 2πr + 326/r

The above shows the correct equation that solves the surface area and also shows how it was fixed by substituting proper values and following due process.

Answer:

well the eqaution is c=2pie r

the answer is 9.42

Step-by-step explanation:

hope this helpsss

Step-by-step explanation:

C=2πr

=2×22/7×1.5

=44/7×1.5

=9.42857143

Answer:

9

Step-by-step explanation:

15^2-12^2=81

So

[tex] \sqrt{81} = 9[/tex]

Answer:

39

Step-by-step explanation:

180 - 141 = 39

A straight angle equals to 180, since the lines are congruent, the angles have the same measurements.

Answer:

The value of x is 141° {Co interior angles}.

Step-by-step explanation:

Hope this helps you. Please mark me as Brainlist.

Answer:

The answer is 5/30

Step-by-step explanation:

The answer is 5/30 because when multiplying a fraction by a fraction you have to multiply the numerator by the numerator and the denominator by the denominator so if you multiply 5 by 1 you get 5 and when you multiply 6 by 5 you get 30 so the answer is 5/30

Answer:

the first option (2x+3y=-6)

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

Answer:

endpoints (4,5)

Step-by-step explanation:

endpoints = (2+6/2,7+3/2)

= (8/2,10/2)

= (4,5)

The inequality that represents Rita saving money from the second option is 0.059x < 0.49 + 0.019x

From the question, we have the following parameters that can be used in our computation:

These statements can be represented as

Option 1: y = 0.49 + 0.019x

Option 2: y = 0.059x

Where y is the total amount and x is the number of minutes

When she saves money, we have

Option 2 < Option 1

Substitute the known values in the above equation, so, we have the following representation

0.059x < 0.49 + 0.019x

Hence, the inequality is 0.059x < 0.49 + 0.019x

Read more about inequality at

https://brainly.com/question/25275758

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Answer:

Answer choice C

Step-by-step ex. 4 is the greatest number out of explanation:

The greater the absolute value is, the steeper it is. In this case, the absolute value of -4 is positive 4 since the absolute value shows how far a number is a ways from zero and is always positive. 4 is the largest number out of all of these choices which means it is the steepest slope.

Answer:

they are corresponding angles. hope that helps!

Step-by-step explanation:

Answer:

From the photo we can see that a pair of parallel lines are intersecting one line. BEcause those lines are parallel they form the same angles . Therefore the <1 is equal to the m<5.

A. The relationship between <1 and <5 is that they are congruent meaning they share the same angle measure.

If the m<1 and m<5 are equal then that means the equations of those anlges must also be equal:

3x+7=5x-3

Now we can solve for x

3x+7=5x-3

7=2x+3

10=2x

5=x

x=5

Therefore for question b, x=5

B. X=5

Step-by-step explanation:

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

Answer:

Step-by-step explanation:

Formula for calculating interest is expressed as;

I = PRT/100

P is principal

R is the rate

T is the time

For first account

I = P(1)(6)/100

I1 = 0.06P1

For the second bank!

I2 =>P2(1)(4)/100

I2 = 0.04P2

If the total interest is $3520, then

I1+I2 = 3520

0.06P1+0.04P2 = 3520.... 1

If the Amount invested = $65000

P1+P2 =65000..... 2

Solve. 1 and 2 simultaneously

Eqn 2 × 0.06

0.06P1+0.06P2 = 3900.... 3

Subtract 1 from 3;

0.04P2-0.06P2 = 3520-3900

-0.02P2 = -380

P2 = 380/0.02

P2 = $19000

Get p1;

P1 = 65000-P2

P1 = 65000-19000

P1 = $46000

Hence $46000 was invested in the first account and $19000 in the second

Answer:

#1. Peng spent $48,918.

#2. The farmer had $10,660 at first.

#3. 2,160 minutes

Step-by-step explanation:

#1. (26 × $1,334) + (19 × $749)= $48,918

#2. 26 × 410 + 162= $10,660

#3. 2 ×(9 + 6 + 9 + 6)×12 ×3=  2×30×12×3= 2× 360 × 3= 720 × 3= 2,160 minutes

Answer:

Answer:

-3 and 23

Step-by-step explanation:

Adding -3 and 23, you get 20. On a number line, 23 is 26 places from -3.

Answer:

$13

Step-by-step explanation:

We find the unit rate by dividing the money earned by the hours

$390/30

= $13

He earns $13 per hour

Answer:

I think its 13...

Step-by-step explanation:

answer:

- 1/6 x + 4

steps by steps:

Answer:

c+9

Step-by-step explanation:

Key word SUM means addition

Answer:

Step-by-step explanation:

Let the number of cleaning be x

Then required inequality is:

Solving:

Answer:

24

Step-by-step explanation:

LHS and RHS have same length so 66 - 42 = 24

If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Answer:

The rabbit is faster, as it has a speed of 44 mph.

Step-by-step explanation:

Since the fox runs 62 miles in 2 hours, its speed can be determined by dividing the miles traveled by the time it took to do so. Thus, since 62/2 equals 31, its speed was 31 miles per hour.

In turn, the rabbit can travel 22 miles in half an hour. Following the same procedure, since 22 / 0.5 equals 44, its speed is 44 miles per hour.

Therefore, the rabbit is faster than the fox, since it has a speed of 44 mph versus 31 mph for the latter.

Answer:

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]

Step-by-step explanation:

y = csc x

y' = -cot x csc x

[tex] y = \csc \sqrt{x} [/tex]

[tex] y' = \dfrac{d}{dx} [\csc \sqrt{x}] [/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} \sqrt{x}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{d}{dx} x^{\frac{1}{2}}[/tex]

[tex]y' = (-\cot x \csc x) \dfrac{1}{2} x^{-\frac{1}{2}}[/tex]

[tex] y' = -\dfrac{\cot x \csc x}{2 \sqrt{x}} [/tex]

Answer:

50?

Step-by-step explanation:

Answer:

x= 106

Step-by-step explanation:

The angle opposite 32 is also 32. Considering 44, the missing angle in that triangle would be 104. The angle to the left of 104 would be 76, and if you consider that angle 30 you are left with the measure of 74. X is the angle next to 74, so it makes sense for it to measure 106 because the values must add to 180, and even if it's not drawn to scale 106 looks accurate

Answer:

90 degrees

Step-by-step explanation:

Answer:

90 degrees.

Step-by-step explanation:

50 degrees (NJ) + -40 degrees (Antarctica) = 90 degrees.

Answer: 7

This is kind of a trick question. Each daughter has one brother- the same brother.

Answer:

14 people

Step-by-step explanation:

6(2) = 12

12 + 2= 14