I need help with #36.

Answer:

∠ 3 = 90°

Step-by-step explanation:

∠ 3 and ∠ 4 are adjacent angles on a straight line and sum to 180° , then

∠ 3 + ∠ 4 = 180°

∠ 3 + 90° = 180° ( subtract 90° from both sides )

∠ 3 = 90°

Answer:

C  

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

Step-by-step explanation:

Bob's salary : $35000 per year plus 10% after one year

100% = 35000

1% = 100%/100 = 35000/100 = $350

10% = 10×1% = 10×350 = $3500

so in total, his salary will be $35000+$3500 = $38500 after one year.

Sam's salary : $3842.42 per month plus 5% after one year.

100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.

so, 100% 12×3842.42 = $46109.04

1% = 100%/100 = 46109.04/100 = $461.09

5% = 5×1% = 5×461.09 = $2305.45

so, in total, his salary will be $46109.04+$2305.45 = $

Answer:

Yes, it will overflow after 16 minutes..

Step-by-step explanation:

The tub fills at a rate of 5 gallons every minute, but it drains at a rate of 2.5 gallons every minute. This means that it fills twice as fast as it drains, so it would take 16 minutes for the tub to overflow. If you subtract the rate of draining from the rate of filling then the net rate of water going up is 2.5 gallons a minute.

Answer:

x = 10

Step-by-step explanation:

7(x+1+7)=6(x+5+6)

or, 7(x+8)=6(x+11)

or, 7x+56=6x+66

or, 7x-6x=66-56

or, x=10

Answered by GAUTHMATH

Answer:

x^2+(y-1)^2=25

Step-by-step explanation:

eqn of circle : (x-h)^2+(y-k)^2=r^2

center of circle = (h,k)

hence, the center of the current circle is (2,3)

moving 2 units to the left would make the center (0,1)

the radius would remain the same (5) , hence the new eqn would be

(x-0)^2+(y-1)^2=25

x^2+(y-1)^2=25

Answer:

y = - x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here gradient (slope) = - 1 and (0, 5) ⇒ c = 5

y = - x + 5 ← equation of line

Answer:

$968.78

Step-by-step explanation:

multiply worked hours by her pay per hour

38.52×$25.15=

38.52×$25.15=$968.778

then you round it to the nearest hundredth

since the thousandth is greater than 5 the 8 will round the 7 to an 8

giving you $968.78

Answer: $977.50

Step-by-step explanation:

(38)(25.15)=955.70

(52)(25.15)/60=21.80

955.70 + 21.80 = 977.50

Answer:

70

Step-by-step explanation:

In a trapezoid lines are parallel, so corresponding angle sum = 180

X+X+40 = 180

2x + 40 = 180

2x = 180-40

2x = 140

X = 140/2

X = 70

Answered by Gauthmath

Answer:

The answer is 36°.

Hope it helps.

Step-by-step explanation:

• • •

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2) +3x(6-y) -7xy

Distribute

xy -2x +18x-3xy -7xy

Combine like terms

-9xy+16x

Answer:

-9xy+16x

Step-by-step explanation:

x(y-2)+3x(6-y)-7xy

xy-2x+18x-3xy-7xy

xy-3xy-7xy-2x+18x

-9xy+16x

Answer:

a+b+c +90+90 = 540

Step-by-step explanation:

A five sided figure has interior angles that add to 540

a+b+c +90+90 = 540

Answer:

a) Sinusoidal functions are y = a sin [b(x-h)] + k    (or)                                        

y = a cos [b(x-h)] + k

Where a is amplitude a= (max-min)/2=(16-2)/2=7

period p= 2π/b

            b=2π/30

            Horizontal transformation to 10 units right h=10

            k= (max+min)/2=(16+2)/2=9

h = 7 cos [π/15(t-10)]+ 9

b) t=10min=600 sec

substitue in the above equation

h=5.5m

9514 1404 393

Answer:

  y = 4

Step-by-step explanation:

The given points are on the horizontal line ...

  y = 4

This is the standard-form equation of that line.

Answer:

If the son’s age is x, the father’s age is 2x.

If the son’s age is x, the father’s age is 2x.Ten years ago:

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 52

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 24

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48

If the son’s age is x, the father’s age is 2x.Ten years ago:(x - 10) + (2x - 10) = 523x + 20 = 523x = 72x = 242x = 48So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.

.

.

Answer:

56.57

Step-by-step explanation:

See attached photo for steps

EDIT: I forgot to add 3.14, I am so sorry

Answer:

56.52

Step-by-step explanation:

Answer:

540 is the answer

Step-by-step explanation:

hope u liked!

Answer:

A' (-5, 5)

B' (20, 0)

C' (5, -15)

Step-by-step explanation:

Multiply each coordinate by 5, and your result is given above.

Answer:

Step-by-step explanation:

The answer is (-4, -2)

-2 + -4 < -5

-6 < -5

Hope this helps!

Answer:

(- 4, - 2 )

Step-by-step explanation:

Substitute the coordinate value into the left side of the inequality and compare the value obtained to the right side

(- 2 , - 3 )

- 3 - 2 = - 5 = - 5 ← not a solution

(- 4, - 2 )

- 2 - 4 = - 6 < - 5 ← solution

(- 3, - 2 )

- 2 - 3 = - 5 ← not a solution

(- 1, - 3 )

- 3 - 1 = - 4 > - 5 ← not a solution

Answer: The non solutions of the inequality are A and D.

Step-by-step explanation:

Answer:

a = -49

Step-by-step explanation:

a+|-23+6|=-32

Simplify the absolute value term

a+|-17|=-32

a+17=-32

Subtract 17 from each side

a +17-17 = -32-17

a = -49

Answer:

a = −49

Step-by-step explanation:

a + ∣ − 17∣ = −32

a + 17 = −32

a = −32 − 17

Simplify.

-32 - 17 to -49.

Answer:

a + b = 5.30

a + b = 7

No

Step-by-step explanation:

Expressing the information as system of linear equation :

Let apples = a, oranges = b

If $5.30 is charged for one apple and one orange, then we have ;

a + b = 5.30 - - - (1)

If $14 is charged for 2 apples and 2 oranges, then we have ;

2a + 2b = 14 - - - - (2)

a + b = 7

Since both equations gives varying combined cost for equal amount of the fruit, then a unique cost cannot be obtained for each fruit from the systems of equation using simultaneous equation process.

From (1)

a = 5.30 - b

Put a = 5.30 - b in (2)

2(5.30 - b) + 2b = 14

10.6 - 2b + 2b = 14

10.6 = 14 - - - - - (variables cancels out).

Answer:No the System has no solution

Step-by-step explanation:

4x4=16 16x3=48 so I think the answer is 48

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

Given

See attachment for [tex]\triangle ABC[/tex] and [tex]\triangle A'B'C'[/tex]

Required

Determine the relationship between both triangles

The single line on all sides of both triangles implies that the sides of the triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- sides

Similarly, the same mark on the three angles of both triangles means that the angles of the both triangles are equal

i.e.

[tex]\triangle ABC \cong \triangle A'B'C'[/tex] --- angles

Hence, both triangles are congruent

Answer:

B) ΔABC and ΔA′B′C′ are congruent.

Step-by-step explanation:

===========================================

Explanation:

The two equations given to us are

Divide the second equation over the first equation and that would lead to b = 6

Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.

The b terms divide to (b^2)/b = b

The right hand side values divide to 18/3 = 6

So that's how we end up with b = 6

-------------------------

Now if b = 6, then we can say,

ab = 3

a*6 = 3

a = 3/6

a = 1/2

Or we could say

ab^2 = 18

a*6^2 = 18

a*36 = 18

a = 18/36

a = 1/2

Answer:

520

Step-by-step explanation:

260/4=520/8

Method 1: Cross Multiply

Method 2: Find GCF