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Kay [80]
3 years ago
7

M∠1=(3x+8)°​, m∠2=(3x+18)°​, and m∠3=(7x+9)°. What is m∠​3?

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

Answer:

87.4°

Step-by-step explanation:

(3x + 8) + (3x + 18) + (7x + 9) = 180

3x + 8 + 3x + 18 + 7x + 9 = 180

add the common numbers

13x + 35 = 180

subtract 35

13x = 145

divide 13

x = 11.2

then plug it back in to m<3

7(11.2) + 9

78.4 + 9

= 87.4°

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3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y
Luba_88 [7]

Answer:

Below in bold

Step-by-step explanation:

The sequence is:

3, x, y, 18

If this is an A P then

x - 3 = y - x  

2x - y = 3      (A)  and

y - x = 18 - y

2y - x = 18      (B)

Multiply  (A) by 2:

4x - 2y = 6    (C)

Adding B and C:

3x = 24

x = 8.

and

2y - 8 = 18

2y = 26

y = 13.

So x = 8 and y = 13.

b)   ar + ar^2 = 6ar^3  where a = first term and r = common ratio

Divide by a:

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

r(3r  + 1)(2r  - 1) = 0

So the 2 possible values of r

= -1/3 and 1/2.

i) The common ratio is positive so it must be 1/2.

Second term ar = 8

1/2 a = 8

a = 16.

So the first 6 terms are:

16, 8, 4, 2, 1, 1/2.

5 0
2 years ago
The volume of a cube is 512 cubic inches. What is the length if each side of the cube?
oksian1 [2.3K]

Answer:

8 inches

Step-by-step explanation:

Volume of a cube: side length cubed

x^3=512

Taking the cubic root of both sides, we get

x=8

4 0
3 years ago
Please help! really rusty on properties ^-^
marta [7]
A is additive equality, where -x and x adds to 0
b is distributive, where x(y+z)=xy+xz
c is multiplicative equality, where x*1=x
d is subtracting both sides by 3.
4 0
3 years ago
Inscribed angles math lib <br> Need help with 9 and 10 thank you!!
telo118 [61]

Answer:

54° and 110°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°

(9)

19x - 26 + 7x - 2 = 180

26x - 28 = 180 ( add 28 to both sides )

26x = 208 ( divide both sides by 26 )

x = 8

Then

∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°

(10)

21x - 33 + 14x + 3 = 180

35x - 30 = 180 ( add 30 to both sides )

35x = 210 ( divide both sides by 35 )

x = 6

Then

∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°

The inscribed angle YVW is half the measure of its intercepted arc YW, so

arc YW = 2 × 87° = 174°, then

arc XW = 174° - 64° = 110°

8 0
3 years ago
Jody has 4 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
Natalija [7]

Answer:

2:3

Step-by-step explanation:

First, create the ratio by putting the numbers together:

There are 4 red and 6 blue marbles:

4:6

Since both of these are divisible by 2, it can be simplified:

4:6

2:3

So, the ratio of red marbles to blue marbles is 2:3

8 0
3 years ago
Read 2 more answers
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