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Rzqust [24]
3 years ago
6

Set up a system of equations and then use your calculator to solve: In triangle ABC, the sum of angles and c is equal to three t

imes angle B. Angle C is 10 degrees more than twice angle B. Find the measure of each angle.(Hint: The angles of a triangle add up to 180 degrees.)
Mathematics
1 answer:
aalyn [17]3 years ago
4 0

Answer:

Step-by-step explanation:

angle A = 40

angle B = 60

angle C = we don't know.

A + B + C = 180

C = 180 - A - B

C = 180 - 40 - 60

C = 80

40 + 60 + 80 = 180

180 = 180...It checks!

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What is the answer for number 8 and pls give step by step
Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

<u>1st trapezoid:</u>

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6

<u>2nd trapezoid:</u>

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x

Let's equate both equations for area and find x first:

4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0
3 years ago
50 POINTS!PLEASE HELP
Mamont248 [21]

Step-by-step explanation:

For no 1...

The range is [ -9, -7, 1]

For no 2....

The range is [-12, -10, -2]

For no 3.....

The range is [-11, -8, 4]

4 0
3 years ago
Read 2 more answers
For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?
qaws [65]

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

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

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

8 0
3 years ago
*100 points* *Please help* *Spam reported*
Trava [24]

Answer:

8x + 12y = 360

x-intercept = 45

y-intercept = 30

Slope = -3/4

Step-by-step explanation:

To begin, let's start with what we know

8 vans + 12 buses = 360 student

If we have vans as the variable x, having an unknown amount of students, and buses as y, also an unknown amount of students, also making 360 a flat number, we will get the equation

8x + 12y = 360

With this equation, we can find the y-intercepts and x-intercepts

The y-intercept can be found when x = 0, so let's substitute that in

8(0) + 12y = 360

   12y / 12 = 360 / 12

             y  = 30

The x-intercept can be found when y = 0, so let's substitute that in

8x + 12(0) = 360

8x/8          = 360/8

x                = 45

So, the x-intercept is 45 and the y-intercept is 30.

Next, let's find the slope. We can solve this easily by isolating y and finding the coefficient of x

8x + 12y = 360

-8x                    -8x

       12y = 360 - 8x  

12y / 12 = (360 - 8x) / 12

          y  = 30 - 3/4x

The coefficient of x is -3/4, so the slope will be -3/4

If you have any questions, please let me know in the comments! If you could mark this answer as the brainliest, I would greatly appreciate it!

4 0
3 years ago
Read 2 more answers
The total mass of 500 crayons is 1 kilogram. What is the mass of each crayon in grams?
Ber [7]

Answer:

I believe it is 2 grams.

Step-by-step explanation:

there are 1000 grams in 1 kg, there are 500 crayons, therefore each crayon weighs 2 grams

7 0
3 years ago
Read 2 more answers
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