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Shkiper50 [21]
3 years ago
15

Geometry ∠1 and ∠2 are vertical angles. If m∠1 = 17x + 1 and m∠2 = 20x – 14, find m∠2.

Mathematics
1 answer:
stiv31 [10]3 years ago
7 0

Answer:

m∠2= 86

Step-by-step explanation:

since they are vertical angles, that means they are both equal to eachother.

so lets set them equal!

17x+1=20x-14

17x+15=20x

15=3x

x=5

now input x into m∠2

m∠2 = 20(5) – 14 = 86

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Plz help me plz f(89) = -481.4 and f(126) = -677.5
yaroslaw [1]

Answer:do u have the answer

Step-by-step explanation:

4 0
3 years ago
A 15 ounce alloy containing 30% gold was mixed with an alloy containing 5% gold to get an alloy containing 20% gold. How many ou
Studentka2010 [4]

Answer:

4.5 % alloy

Step-by-step explanation:

Let x = amt of 30% alloy

The resulting total is to be 25 oz, therefore:

(25-x) = amt of 5% alloy:

A typical mixture equation:

.30x + .05(25-x) = .20(25)

.30x + 1.25 - .05x = 5 .30x - .05x = 5 - 1.25

.25x = 3.75

x = 3.75%2F.25

x = 15 oz of 30% alloy required

then

25-15 = 10 oz of 5% alloy:

Check solution

.30(15) + .05(10) = .20(25)

4.5 + .5 = 5

4 0
2 years ago
Suppose your​ friend's parents invest 15,000 in an account paying 7% compounded annually. What will the balance be after 5 ​year
meriva

Answer:

FV= $21,038.28

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $15,000

Interest rate (i)= 7% compounded annually

Number of periods (n)= 5

<u>To calculate the future value (FV), we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 15,000*(1.07^5)

FV= $21,038.28

6 0
2 years ago
A playground is constructed with the dimensions and shapes shown below
Alchen [17]

check the picture below.


so the playground is really just 3 rectangles and one triangle, now the triangle has a base of 8 and a height of 6.  We can simply get the area of each figure, sum them up and that's the area of the playground.


\bf \stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(8)(6)}~~+~~\stackrel{\textit{rectangle}}{(8\cdot 8)}~~+~~\stackrel{\textit{rectangle}}{(6\cdot 6)}~~+~~\stackrel{\textit{rectangle}}{(9\cdot 4)}&#10;\\\\\\&#10;24+64+36+36\implies 160

6 0
3 years ago
Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99
Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

f(x) is a fourth order polynomial, so it has 4 roots.  Use rational root theorem to find possible rational roots.

±99, ±11, ±9, ±3, ±1

By trial and error, the zeros are -11, -3, 1, and 3.

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

7 0
3 years ago
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