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bija089 [108]
3 years ago
6

Triangle ABC measures are as follows; Angle A measures 30 degrees, angle B measures (3x-9) degrees and angle C measures 29 degre

es. What is the value of x?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

x = 43 1/3 degrees

Step-by-step explanation:

sum of interior angles in a triangle = 180 degrees

30 + (3x - 9) + 29 = 180

30 + 29 + (3x - 9) = 180

59 + (3x - 9) = 180

(3x - 9) = 180 - 59

(3x - 9) = 121

3x = 121 + 9

3x = 130

x = 43 1/3

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Please help!! With step by step
Sever21 [200]

Answer:

R=\$145.12

Step-by-step explanation:

<u>Compound Interest</u>

This is a well-know problem were we want to calculate the regular payment R needed to pay a principal P in n periods with a known rate of interest i.

The present value PV or the principal can be calculated with

P=F_a\cdot R

Solving for R

\displaystyle R=\frac{P}{F_a}

Where Fa is computed by

\displaystyle F_a=\frac{1-(1+i)^{-n}}{i}

We'll use the provided values but we need to convert them first to monthly payments

i=7\%=7/(12\cdot 100)=0.00583

n=3*12=36

\displaystyle F_a=\frac{1-(1+0.00583)^{-36}}{0.00583}

F_a=32.386

Thus, each payment is

\displaystyle R=\frac{4,700}{32.386}=145.12

\boxed{R=\$145.12}

4 0
3 years ago
What is the slope of the line through the points (–2, –1) and (8, –3)?
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Find the slope, denoted m

This is done by using the formula m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = [-3 - (-1)]/[8 - (-2)]  

m = -2/10 = -1/5

7 0
3 years ago
Solve the equation -5 - ____ = 25
soldier1979 [14.2K]

-5 - x = 25

add -5 to both sides

-x=-20

x=20

4 0
3 years ago
Read 2 more answers
Find the size of each interior angle of a regular hexagon
Serhud [2]

Answer:

Each interior angle = 180° -60° = 120°

Step-by-step explanation: We know that the three angles in a triangle, add up to 180°, and all the three angles are 60° in an equilateral triangle. The total number of angles of an enclosed space is 180° (n-2) where in is the number of sides.
A hexagon has six sides, so: s= 180° (6-2)

s= 180° x 4

s= 720°

now since in a regular shape, each interior angle is equal. We just divide the total interior angle with a number of sides

6.

720° divided by 6 is equal to 120°

8 0
1 year ago
Suppose you roll two dice. find the probability of rolling a sum of 11.​
stiv31 [10]

Answer:

1/18

Step-by-step explanation:

There are 36 different possible combinations. There are only two ways of rolling a sum of 11.

2/36 = 1/18

5 0
3 years ago
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