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Andrew [12]
2 years ago
11

Given the following diagram, find the missing measure.

Mathematics
1 answer:
madam [21]2 years ago
6 0

m3 = 110°

Step-by-step explanation:

m1 = 180° - m4 ( sum of angles in a straight angle )

m1 = 180° - 150° = 30°

m3 = 180° - (m2 + m1) ← sum of angles in a triangle

m3 = 180° - (40 + 30 )° = 180° - 70° = 110°

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2) Lisa is ordering sand from the Internet, On one site she found sand on sale for
Anastasy [175]

For this case we must find the unit cost (dollars per pound) of each site and then compare.

We take into account that:

1kg equals 2.205 pounds

So, we have:

Site 1:

C = 2.25 \frac {dollars} {pound}

Site 2:

5kg = 5 (2.205\ pounds) = 11.025 pounds

So, the unit cost is:

C = \frac {14} {11.025} \frac {dollars} {pound} = 1.27 \frac {dollars} {pound}

Thus, the best deal is on site 2.

ANswer:

The best deal is on site 2.

7 0
3 years ago
(x-2) is a factor of x^2-3x^2+kx+14. The value of k is?​
BartSMP [9]

Answer:

k = 5

Step-by-step explanation:

I will assume that your polynomial is

x^2 - 3x^2 + kx + 14

If x - a is a factor of this polynomial, then a is a root.

Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:

 2      /      1     -3     k     14

                        2     -2    2k - 4

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

               1        -1    (k - 2)   2k - 10

If 2 is a root (if x - 2 is a factor), then the remainder must be zero.

Setting 2k - 10 = to zero, we get k = 5.

The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14

6 0
3 years ago
Mike can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additi
ipn [44]

Answer:y = 12x + 7

Step-by-step explanation:

8 0
1 year ago
What is the answer to -1 5/8 × 2 2/3
Yuri [45]

Answer: -13/3

Step-by-step explanation: -1  5/8  -> -13/8        2  2/3->  8/3

-13/8 x 8/3 = -104/24

                  = -13/3  OR  -4   1/3      

5 0
2 years ago
How do you dilate a figure on a coordinate plane if you want to make the shape larger? How would your steps change if you want t
Papessa [141]
If u want to make the shape larger, u will have to multiply it by the scale factor that is greater then 1.

if u want to make the shape smaller, then u will multiply by the scale factor that is between 0 and 1

if the scale factor is 1, then the shapes are congruent
3 0
3 years ago
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