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Anastaziya [24]
2 years ago
10

Write an equation of the line with a slope of į and y-intercept of -8 y =

Mathematics
1 answer:
Lemur [1.5K]2 years ago
6 0

Answer:

your answer is y =-8 hopes this help

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Given:• PQRS is a rectangle.• mZ1 = 50°Р21SRWhat is mZ2?130°85°70°65°
Over [174]

To answer this question, we need to recall that: "the diagonals of a rectangle bisect each other"

Thus, if we assign the point of intersection of the two diagonals in the rectangle as point O, we can say that the triangle OQR is an "isosceles triangle". Note that this is because the lengths OR and OQ are equal since we know that: "the diagonals of a rectangle bisect each other". See the below diagram for clarity.

Now, we have to recall that:

- the base angles of any isosceles triangle are equal. This is a fact, and this means that the angles

- also the sum of all the angles in any triangle is 180 degrees

Now, considering the isosceles triangle OQR, we have that:

\angle OQR+\angle ORQ+\angle ROQ=180^o

Now, since the figure already shows that angle m\angle2+\angle ORQ+50^o=180^oNow, since we have established that the base angles m\angle2+m\angle2+50^o=180^owe can now solve the above equation for m<2 as follows:

\begin{gathered} m\angle2+m\angle2+50^o=180^o \\ \Rightarrow2m\angle2+50^o=180^o \\ \Rightarrow2m\angle2=180^o-50^o \\ \Rightarrow2m\angle2=130^o \\ \Rightarrow m\angle2=\frac{130^o}{2}=65^o \end{gathered}

Therefore, the correct answer is: option D

7 0
1 year ago
Which steps would you use to plot the point (7, −6, −5) in a 3-dimensional coordinate system starting from the origin?
I am Lyosha [343]

Answer:

B. move forward 7, left 6, and down 5

Step-by-step explanation:

By the <u>convention of 3D geometr</u>y, the coordinates of a point (x,y,z) represent how far the point is from the origin forward-backward , right/left , up-down respectively with prior one for the positive coordinate and latter for the negative coordinate.

so we need to move forward 7 for x=7 then to left 6 for y=-6 and then down 5 for z=-5.

3 0
3 years ago
Printing Brochures The trade show is less than three weeks away. Your manager wants to be sure you have plenty of color brochure
Mice21 [21]

Answer:

1. No extra fees unless we need out order sooner (2 weeks for an extra $50)

2 .orders of 1000 or more are 40 cents a piece orders of fewer thank 1000 are 60 cents a piece

3. The brochure will arrive in three weeks so we need to pay an extra $50 to get them before the show

Step-by-step explanation:

I’ve done this already but if you need me to explain lmk:)

5 0
2 years ago
#10 - Alvin ate 1/3 of a pizza for dinner and took 1/6 of eight for lunch the next day. How much of the pizza does he have left?
Delvig [45]
He has 1/2 of the pizza left.
8 0
2 years ago
Which of the following represents a "rule of thumb" for how much
sergeinik [125]

Answer:

Rule of thumb is;

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

Step-by-step explanation:

When calculating the loan a college student can afford, a rule of thumb comes in very handy which is that:

Your cumulative total student loans taken as at the time you are graduating should be less than your proposed annual starting salary.

This is because If your total student loan debt is less than your proposed annual income, it means all things being equal, you would be able to pay back the loan in about 10 years or less. However, if the loan debt exceeds your proposed income, it means you are likely to going to struggle and find it very difficult to repay your loan.

4 0
3 years ago
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