which expression is equivalent to the problem shown?

Answer:

30

Step-by-step explanation:

Look at the image I attached for reference as I explain. (I only labeled the angles that are relevant to the problem)

These triangles are congruent, as shown by the first equation.

When triangles are congruent, it means that the sides and angles are the same.

We can see that angles ∠ABC and ∠DEC are corresponding, which means that they have the same value.

We don't know ∠DEC, but we have two angles in that triangle that we do know. Since the angles in a triangle add up to 180, we have this equation:

180-65-55=∠DEC

60 = ∠DEC

So now we know that ∠DEC is 60 degrees.

Since ∠ABC and ∠DEC are equal:

2x=60.

Divide both sides by 2, and we get x =30.

Answer:

Step-by-step explanation:

Fred bought 4 liters of liquid laundry detergent, 3,260 milliliters of fabric softener, and 2.5 liters of bleach.

We carry out conversion

Select true or false for each statement. Fred bought 76 milliliters more fabric softener than bleach. False Fred bought 1.75 liters more laundry detergent than bleach. False Fred bought 760 milliliters more fabric softener than bleach. False Fred bought 150 milliliters more laundry detergent than bleach. ? Fred bought 0.76 liters more fabric softener than bleach.

Answer:

$319

Step-by-step explanation:

add the money and then what u get for the money add it to the other numbers u have.

Answer:

C

Step-by-step explanation:

the middle line is the median you can see that they are the same

Answer:

Your math problem

1

2

−

5

>

−

2

can i get brainliest plz :)

f (15) = $142.50

i hope this help you!

We know that:

Harrison gets $9.50 per hour of work.

He can work a maximum of 15 hours per week.

He needs to earn a minimum of $28.50 per week.

A) We want a function f(h) that tells how much he wins in a week if he works h hours.

So we know that he gets $9.50 per hour of work, then if he works h hours, he gets h times $9.50, then we can just write:

f(h) = $9.50×h

B) First remember that the domain is the set of possible values of h, and the range is the set of possible values of f(h).

We know that the maximum value of h is 15, to find the minimum value of h we need to use the other restriction, that he needs to win at least $28.50, then we need to solve:

$9.50×h = $28.50

h = ($28.50)/($9.50) = 3

Then we can conclude that the domain is:

D = [3, 15]

To find the range, we just need to evaluate the function in the minimum and maximum values of the domain:

f(3) = $28.50

f(15) = $142.50

Then the range is:

R = [$28.50, $142.50]

If you want to learn more, you can read:

https://brainly.com/question/9446123

Answer:

Volume of box V = 180 cm^3

Base area of box A = 36 cm^2

Height = h

Volume = base area × height

height = volume/base area

h = V/A

Substituting the values;

h = (180cm^3)/(36cm^2)

Height h = 5 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

Answer:

180+12x

Step-by-step explanation:

Answer:

[tex]\left(a+4\right)\left(a-5\right)[/tex]

Step-by-step explanation:

Break the expression into groups.

=(a^2+4a)+(−5a−20)

Factor out a from a2+4a:     a(a+4)

Factor out −5 from −5a−20:     −5(a+4)

=a(a+4)−5(a+4)

Answer:

8.5 & 4.5

Step-by-step explanation:

2 groups of 17 is 17 ÷ 2 because your dividing 17 people into 2 groups, same thing with 4 groups of 18.

So, 17 ÷ 2 = 8.5 & 18 ÷ 4 = 4.5

Answer:

The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards

Step-by-step explanation:

The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;

The given parameters are;

The distance from the sailboat to the lighthouse's light = 245 yards

The angle of elevation of angle B = An angle chosen between 25° and 45°

For simplicity, we chose, B = 30°

A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house

The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards

By trigonometric ratio, in the we have;

[tex]cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

The adjacent leg length = The horizontal distance of sailboat from the light house

[tex]\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}[/tex]

The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927

Therefore;

The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards

Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.

Answer:

i would need to see all four to be able to answer ?

Step-by-step explanation:

Answer:

0.13

Step-by-step explanation:

it's not that hard all you have to do is add the shaded blocks, then make it a decimal

Answer:

Your answer would be 13%.

Step-by-step explanation:

Their is 100 squares and 13 squares are

shaded therefore it would be 13%.

Hope this helps!

Answer:

25

Step-by-step explanation:

v^2 - 10v + __ : what number when added to itself gives you -10 ? -5

what's -5 x -5 ? 25

(v-5)^2 is a perfect square

Answer:

D. The account balance will increase 4% each year.

Step-by-step explanation:

Given the equation :

A= 1750(1.04)t

This is an exponential growth rate equation which has it's general format as :

A = A0 * (1 + r)^t

A0 = initial value,

Since (1 + r) is greater Than 1 ; then we conclude that it is a growth relation.

1 + r = 1.04

The rate, r = (1.04 - 1) = 0.04

r = 0.04 = (0.04 * 100%) = 4%

Hence, The account balance will increase 4% each year.

Answer:

(-2, 4)

Step-by-step explanation:

Reflection over the x-axis would mean the point would flip upwards, this would affect the y coordinate.

Answer:

since 7 feet is 2.1336

aproximatly would be 2.08 rounded 2 meters

Step-by-step explanation:

Answer:

4 I guess..........not sure but my answer is 4

Answer:

25

Step-by-step explanation:

ratio 5:6

[tex]\frac{5}{6} = \frac{x}{30}[/tex]

6x = 5(30)

6x = 150

x = 25

Answer:

19km

Step-by-step explanation:

The formula for the perimeter of a triangle is: S+S+S.

So;

19km+19km+a=57km

a=57km-19km-19km

=19km

Answer:

∠ACD≅∠CAB

Alternate interior angles are congruent if lines are parallel

Step-by-step explanation:

Answer:

A.-1 all you had to do was look up the answer

Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

[tex]\frac{15}{16}=0.9375\approx0.9[/tex]

Answer:

588

Step-by-step explanation:

multiply length x width x height 7×6×14

Step-by-step explanation:

multiply 7,6,14

=588

therefore the answer in cubic centimeters is= 588

Answer:

Step-by-step explanation:

In Quadrants I and III, a larger rate has a steeper slope; for example, the line that climbs faster has the steeper slope.

Answer:

[tex]Area = 51.68yd^2[/tex]

Step-by-step explanation:

Given

[tex]h = 9yd[/tex] -- height

[tex]a = 2.5yd[/tex] --- base sides

Required

Determine the surface area

The net is not given. So, I will solve directly.

The surface area is calculated as:

[tex]Area = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}[/tex]

So, we have:

[tex]Area = 2.5^2 + 2*2.5\sqrt{\frac{2.5^2}{4} + 9^2}[/tex]

[tex]Area = 6.25 + 5\sqrt{\frac{6.25}{4} + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{1.5625 + 81}[/tex]

[tex]Area = 6.25 + 5\sqrt{82.5625}[/tex]

[tex]Area = 6.25 + 5* 9.086[/tex]

[tex]Area = 51.68yd^2[/tex]

Answer:

Overuse of natural resources would not be a benefit, since it isn't a good to overuse something