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Alekssandra [29.7K]
3 years ago
5

Find the measures of the interior angles.

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0

Use angle sum property

  • x+68+x-24=180
  • 2x+44=180
  • 2x=136
  • x=68

<A=68

<B=44

<C=68°

Nina [5.8K]3 years ago
6 0

Answer:

See below ~

Step-by-step explanation:

The Angle Sum Property of a triangle states that the sum of the internal angles of a triangle is equal to 180°.

Solving :

⇒ x + x - 24 + 68 = 180

⇒ 2x + 44 = 180

⇒ 2x = 136

⇒ <u>x = 68</u>

The angles are :

∠A = x = 68°

∠B = x - 24 = 68 - 24 = 44°

∠C = 68°

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Jamila and Anica were rollerblading. They skated 14 miles in 12 hours if they skate at a contest rate how many miles did they sk
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Answer:

1.1666 (The 6 is infinitive)

Step-by-step explanation:

14/12 (This gives you the average miles for one hour)

7 0
4 years ago
Suppose the function F(c) represents the earnings of a volleyball team from selling c cupcakes. They are selling each cupcake fo
navik [9.2K]

Answer:

The variable c represents the domain as it is the independent variable.

The domain of the function F(c) is given by c ≥ 0.

So, only positive values for the input make sense.

The upper limit of the domain is +∞ and lower limit is 0.

It is not possible for the team to earn $50.50 as it will be only multiple of 2.

Step-by-step explanation:

If F(c) represents the earning of a volleyball team from selling c cupcakes and each cupcake costs $2 each, then the equation that models the situation is  

F(c) = 2c ..... (1)

The variable c represents the domain as it is the independent variable. (Answer)

The domain of the function F(c) is given by c ≥ 0. (Answer)

So, only positive values for the input make sense. (Answer)

The upper limit of the domain is +∞ and the lower limit is 0. (Answer)

It is not possible for the team to earn $50.50 as it will be only multiple of 2. (Answer)

5 0
3 years ago
Read 2 more answers
Mama Mia’s Pizza sells medium pizza for $7 and charges a $2 delivery fee per order. Which describes this relationship?
serious [3.7K]

a non-proportional function with a y-intercept of 2


5 0
3 years ago
How many minutes will it take 5 people to stack 250 chairs if each person can stack 20 chairs a minute?
mafiozo [28]
- Each person stacks 20 in one minute.

- 5 people can stack 100 in 5 minutes.
If so, how long would 250 take them ?

-- The same 5 people can stack 250 in (250/100)= 2.5 minutes.
7 0
4 years ago
Read 2 more answers
URGENT! PLEASE HELP.
uysha [10]

Answer: a) BC = 1386.8 ft

b) CD = 565.8 ft

Step-by-step explanation:

Looking at the triangle,

AD = BD + 7600

BD = AD - 7600

Considering triangle BCD, we would apply the the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan 24 = CD/BD = CD/(AD - 700)

0.445 = CD/(AD - 700)

CD = 0.445(AD - 700)

CD = 0.445AD - 311.5 - - - - - - - -1

Considering triangle ADC,

Tan 16 = CD/AD

CD = ADtan16 = 0.287AD

Substituting CD = 0.287AD into equation 1, it becomes

CD = 0.445AD - 311.5

0.287AD = 0.445AD - 311.5

0.445AD - 0.287AD = 311.5

0.158AD = 311.5

AD = 311.5/0.158

AD = 1971.52

CD = 0.287AD = 0.287 × 1971.52

CD = 565.8 ft

To determine BC, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin 24 = CD/BC

BC = CD/Sin24 = 565.8/0.408

BC = 1386.8 ft

4 0
4 years ago
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