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polet [3.4K]
3 years ago
9

Two angles are supplementary. The first angle is 115 degrees and the second angle is _______degrees.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0
<span>supplementary angles, sum = 180

180 - 115 = 65

answer: </span><span>second angle is ___65____degrees</span>
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write the equation of the line in either form (slope intercept or point slope form) that contains points (4,-5) (8,1)
lianna [129]

Answer:

y = \frac{3}{2} x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, - 5 ) and (x₂, y₂ ) = (8, 1 )

m = \frac{1-(-5)}{8-4} = \frac{1+5}{4} = \frac{6}{4} = \frac{3}{2} , then

y = \frac{3}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 1 ) , then

1 = 12 + c ⇒ c = 1 - 12 = - 11

y = \frac{3}{2} x - 11 ← equation of line in slope- intercept form

7 0
2 years ago
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria. How many stude
AysviL [449]

Answer:

The equation to solve the problem is

306 = 249 + x

x = 306 - 249

Hence:

57 students went outside

Step-by-step explanation:

Let the number of students outside be represented by x

Hence:

Number of students in the cafeteria = Number of students inside - Number of students who went outside

We are told:

There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.

The equation to solve the problem is given as:

306 = 249 + x

x = 306 - 249

Hence:

x = 57

57 students went outside

4 0
3 years ago
Evaluate a-b if a=10 and b=-7​
Tomtit [17]
10- -7 = 10 + 7 = 17!
7 0
2 years ago
Orlando invests S1000 at 6% annual interest compounded daily and Bernadette invests S1000 at 170
Ainat [17]

Answer:

So it will only take a year for Orlando's investments be worth more than

Bernadette's investments

Step-by-step explanation:

Interest of Bernadette in a year

=( 1000*170*1)/100

= 1700

So amount at a year is$ 2700

For Orlando amount the end of the year with compound interest daily.

A = P(1+r/n)^nt

A = 1000(1+(17/365))^(365*1)

A = 1000(1+0.0466)^365

A = 1000(1.0466)^365

A= $1.659*10^10

So it will only take a year for Orlando's investments be worth more than

Bernadette's investments

3 0
3 years ago
The heights of a group of sixth graders' are summarized below. If another sixth grader were to be measured, what would be a good
vesna_86 [32]
It might B. 57 inches because it is the mode which occurs often.
Hope it helps

7 0
3 years ago
Read 2 more answers
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