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kenny6666 [7]
2 years ago
8

I need help with this question.

Mathematics
2 answers:
never [62]2 years ago
6 0

An exterior angle is equal to the two opposite inside angles.


You are given the exterior angle and the two opposite inside angles so you can set up an equation to solve for x, then replace x in the equation to solve for the angle.


7x-16 = 4x + x+8

Simplify:

7x-16 = 5x+8

Add 16 to each side:

7x = 5x+24

Subtract 5x from each side:

2x = 24

Divide both sides by 2:

x = 24/2

x = 12


Now replace x with 12:

7(12)-16

Simplify:

84 -16

Subtract:

Answer is 68 degrees.


mina [271]2 years ago
4 0

Answer:

75

Step-by-step explanation:

The answer is 82 because itś not a right angle but it is very close to being one.

Step 1: (7x + 16) The first step would be to figre out what x equals in this case   x = 14

Step 2: 7(14) if you multiply you would get 98

Step 3: 98 - 16 = 82

Step 4: Apply 82 into the inner angle

Step 5: Find what the inner angles are because when you add a triangle together you should get 180 degrees

Step 6: (x + 8) x = 30  so the new prblem would be 30 + 8 = 38

Step 7: 4x Find out what x equals x = 15 so 4(15) = 60

Step 8: 82 + 38 + 60 = 120 + 60 = 180

This explains why the answer is 82 hope this helps.

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Part B.<br> What is the volume of each cubic block?
monitta

Answer:

1 / 36 ft³

Step-by-step explanation:

Length = 1/2 ft

Width = 1/6 ft

Height = 1/3 ft

The volume of the tank can be obtained using the relation :

Volume = Length * width * height

Volume = (1/2 * 1/6 * 1/3) ft³

Volume = 1 / 36 ft³

6 0
2 years ago
The triangles shown below may not be congruent.<br> A. True<br> B. False
Molodets [167]

Answer:

B. False

Step-by-step explanation:

Congruent Definition: having the same size and shape.

6 0
2 years ago
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Find the indicated root.<br><br> Plz help
Zarrin [17]

Answer:

x^{15/3} =x^{5}

Step-by-step explanation:

5 0
3 years ago
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Can someone please help me​
astra-53 [7]

Answer:

square 20 has 44 green squares

square 21 has 45 green squares

Step-by-step explanation:

To solve the problem, we need to observe the cases, and determine/define a rule for each case (odd number of sides, or even number of sides).

For square one, we note that the centre square is shared by two diagonals, so we saved one square from the two diagonals.

The side length is 3 for square 1, 4 for square 2, and so on.

Let

n= square number (1, 2,3...)

L = side length (3,4,5...)

G1(n) = function that gives the number of green squares for square n, n=odd

G2(n) = function that gives the number of green squares for square n, n=even

side length, L=n+2   ................(1)

G1(n) = twice the side length less one, as discussed above

G1(n) = 2L-1       now substitute L=n+2

G1(n) = 2(n+2) -1    simplify

G1(n) = 2n + 3

Check:

for n=1, square 1 has 2*1+3 = 5 green squares ... checks

for n=3, square 3 has 2*3+3 = 9... checks

for n=5, square 5 has 2*5+3 = 13 ....checks

For even squares, it is even easier, because

G2(n) = 2L = 2(n+2)

check:

for n=2, square 2 has 2(2+2) = 8 green squares........checks

for n=4, square 4 has 2(4+2) = 12 green squares........checks.

Fincally, we apply our formula to n=20 and n=21

square 20 : G2(20) = 2(n+2) = 2(20+2) = 44 green quars

square 21 : G1(21) = 2n+3 = 2(21)+3 = 45 green squares

5 0
2 years ago
A square base of a pyramid has the dimensions 5 yards
AfilCa [17]

Answer:

145 yd²

Step-by-step explanation:

There will be dour triangular faces. For a triangle, area is given as

A=½bh where b is base and h is height. The base will be 5 yards and h is 12 yards hence for one triangular face, area will be ½*5*12=30 yd²

Since they are four similar triangles, area of triangular faces will be 30*4=120 yd²

The surface area of a square base is given by

A=a*a=a² where a is the dimension of one side. Given that the meaurement is 5 yards then A=5²=25 yd²

Total area will be the sum of triangular and square faces hence 120+25=145 yd²

7 0
3 years ago
Read 2 more answers
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