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3 years ago

Find the value of each variable and the measure of each angle.

Mathematics

2 answers:

ANTONII [103]3 years ago

5 0

Answer:

x = 14

Step-by-step explanation:

The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.

x+12 = 3x-16

On both sides, subtract 3x and subtract 12 to get this.

-2x = -28

Divide by -2.

x = 14

insens350 [35]3 years ago

4 0

Answer:

x = 14

Step-by-step explanation:

Please mark my answer as brainliest :D

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Find the payment necessary to amortize a 6.3% loan of 7500 compounded semiannually, with 6 semiannual payments. Find the payment

Lorico [155]

Answer:

Semiannual payment = $ 1391.37

Total payment = $ 8348.22

Interest paid = $ 848.22

Step-by-step explanation:

Since, the semiannual payment formula of a loan,

$P=\frac{PV(\frac{r}{2})}{1-(1+\frac{r}{2})^{-n}}$

Where,

PV = present value of the loan,

n = number of semiannual payments,

r = annual rate,

Here, PV = 7500, r = 6.3% =0.063, n = 6,

By substituting the value,

The semiannual payment would be,

$P=\frac{7500(\frac{0.063}{2})}{1-(1+\frac{0.063}{2})^{-6}}$

$\approx \$ 1391.37$

Also, total payment = semiannual payment × total semiannual periods

= 1391.37 × 6

= $ 8348.22,

Also, the interest paid = total payment - present value

= 8348.22 - 7500

= $ 848.22

6 0

3 years ago

If anyone can solve this quickly I will give brainly

Nataly [62]

Answer:

m∠BFE = 171º

BE = 219º

Step-by-step explanation:

∠BFE is supplementary to ∠EFC

m∠BFE = 180 - 9

m∠BFE = 171º

--------------------------

The angle between two chords is equal to half the sum of the intercepted arcs:

∠BFE = (DC + BE)2

171 = (123 + BE)/2

342 = 123 + BE

219º = BE

6 0

3 years ago

Halle had 15 pounds of sand to give to 6 of her friends for an art project. How many pounds of sand did each friend receive if H

zubka84 [21]

Each friend received 2 1/2 pounds of sand

7 0

3 years ago

X =x=x, equals <br> ^\circ <br> ∘

kolbaska11 [484]

Answer:

here,

X + 125+35 =180

X=20

Hence the value of X is 20 degree

I think it will help you

3 0

2 years ago

X^2 - 2x = 15 how do I solve this quadratic method?<br>I am stuck on it.... please help<br>

Anarel [89]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides

x² - 2x = 15

- 15 -15

x² - 2x - 15 = 0

now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2

because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.

we can use 3 and -5 as factors and test it out. we put x in front because we have an x²

(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out

FOIL stands for: First, Outside, Inside, and Last terms

F: (x - 5)(x + 3) = x²

O: (x - 5)(x + 3) = -3x

I: (x - 5)(x + 3) = 5x

L: (x - 5)(x + 3) = -15

x² + 3x - 5x - 15 < subtract 3x from 5x

x² - 2x - 15

this checks out, so our answer is (x - 5)(x + 3)

6 0

3 years ago

Read 2 more answers