240% of what number is 144? 2400% of is 144. type a whole number.)

Alinara [238K]

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This arc sign stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

Given information

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

Given expression

Total measure = Total number of congruent angles × An angle measure

Substitute values into the expression

180 = 3 (3x + 72)

Divide 3 on both sides

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

Subtract 72 on both sides

60 - 72 = 3x + 72 - 72

-12 = 3x

Divide 3 on both sides

-12 / 3 = 3x / 3

$\boxed{x=-4}$

Find the angle measure

3x + 72 = 3 (-4) + 72 = $\boxed{60}$

Hope this helps!! :)

Please let me know if you have any questions

6 0

2 years ago

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PLEASE HURRY WILL MARK BRAINLEYST IF YOUR CORRECT!!!! so you will get +50 points

horrorfan [7]

Area of the figure = 112 in²

Solution:

The given figure is splitted into two shapes.

One shape is square.

Each side of square are equal.

Side = 10 inch

Area of the square = side × side

= 10 × 10

= 100

Area of the square = 100 in²

The other shape is triangle.

Base of the triangle = 10 in – 6 in = 4 inch

Height of the triangle = 16 in – 10 in = 6 inch

Area of the triangle = $\frac{1}{2}\times \text{base}\times \text{height }$

$$=\frac{1}{2}\times4\times6$

= 12

Area of the triangle = 12 in²

Area of the figure = Area of the square + Area of the triangle

= 100 in² + 12 in²

Area of the figure = 112 in²

Therefore, area of the given figure is 112 in².

7 0

3 years ago

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For the following pairs of assertions, indicate which do not comply with our rules for setting up hypotheses and why (the subscr

torisob [31]

Answer:

Options B, C, D & E do not comply with the rules for setting up hypotheses

Step-by-step explanation:

(A). H0: m = 100, Ha: m > 100.

These hypotheses fully complies with our rules.

B). H0: s = 20, Ha: s 20.

H0 is not an equality claim such as σ = 20. Hence, these hypotheses are not in compliance with our rules.

(C). H0: p -:: .25, Ha: p = .25

H0 should definitely contain the equality claim, although Ha contains it here. Thus, these are not legitimate and don't comply with our rules

(D)H0: m1 - m2 = 25, Ha: m1 - m2 > 100

The given value of 25 for m1 - m2 in H0 should also appear in Ha,but it does not do so here, so it doesn't comply with our rules.

E)H0: S2 = S2, H : S2 -:: S2

Each S2 is a statistic and so it does not belong in a hypothesis.

8 0

4 years ago

Nigel has 138 ounces of lemonade. how many 6-ounce servings of lemonade can he make?

Reptile [31]

138/6 = 23 :)
....................

8 0

3 years ago

Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to

MariettaO [177]

Answer:

A. $2,000

Step-by-step explanation:

Assuming that the money in the savings account will be used to pay off for tractor.

let the number of months be m

Savings after m months will be 500+ 150m

After m months the installments paid will 200m

To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:

500+150m +200m = 4000

150m + 200m = 4000-500 (grouping like terms)

350m = 3500 (Making m the subject of the formula)

350m/350 = 3500/350

m = 10

Substituting m into the equation of saving after m months

Savings after m months will be 500+ 150m

Savings after m months will be 500 + 150(10)

Savings after m months will be 500 + 1500

Savings after m months will be $2000

7 0

4 years ago

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240% of what number is 144?2400% ofis 144.type a whole number.)​

240% of what number is 144?2400% ofis 144.type a whole number.)