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kodGreya [7K]
3 years ago
13

Solve for x!........

Mathematics
1 answer:
Goshia [24]3 years ago
8 0

Answer:

x = 11

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

11x + 2 is an exterior angle of the triangle, then

11x + 2 = 5x + 10 + 58

11x + 2 = 5x + 68 ( subtract 5x from both sides )

6x + 2 = 68 ( subtract 2 from both sides )

6x = 66 ( divide both sides by 6 )

x = 11

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9 ft 8 ft 5 ft 13 ft What is the area of this figure? ​
Vlad1618 [11]

Answer:

D. 98 ft.^2

Step-by-step explanation:

A= b*h

=13*8

=104 ft.^2

Because there is a piece missing, we know it must be under 104 ft.^2. They didn't give us enough information to find the complete area of the missing triangle, so I used the process of elimination. With the responses given and this information, we can assume that the answer is 98 ft.^2.

8 0
3 years ago
The 4th and 8th term of a G.P. are 24 and 8/27 respectively. find the 1st term and common ratio
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric progression is

• a_{n} = a₁ r^{n-1}

where a₁ is the first term and r the common ratio

given a₄ = 24, then

a₁r^{3} = 24 → (1)

Given a₈ = \frac{8}{27}, then

a₁r^{7} = \frac{8}{27} → (2)

Divide (2) by (1)

r^{4} = \frac{\frac{8}{27} }{24} = \frac{1}{81}

Hence r = \sqrt[4]{\frac{1}{81} } = \frac{1}{3}

Substitute this value into (1)

a₁ × (\frac{1}{3} )³ = 24

a₁ × \frac{1}{27} = 24, hence

a₁ = 24 × 27 = 648

4 0
3 years ago
A sign company charges $28 per yard for each custom made banner. Ms. Gill orders two banners that are each 1 7/8 yards yards lon
Svetlanka [38]

Answer:

$896

Step-by-step explanation:

We are given that

Charge of 1 yard for each custom-made banner=$28

Length of 1 piece=15 yards

Length of another piece=2 yards

We have to find that how much money payed by Ms.Gill for all three banners.

According to question

Cost of 15 yards long banner=$420

Cost of 2 piece of 15 yards long banner==$840

Cost of 2 yards long banner==$56

Total cost of 3 piece of banners=840+56=$896

Hence, Ms gill pay for all three banners=$896

Your Welcome;)

8 0
3 years ago
What is the greatest common factor of 14x^5+6x^3
almond37 [142]
The final answer is 2x3
5 0
3 years ago
A basketball player made 50 baskets in a season. Of these, 36% were three-point shots. How many three-point shots did the player
kobusy [5.1K]
Answer: 18

Explanation: 50x.36= 18
3 0
3 years ago
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