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2 years ago

What is the number of sides of a regular polygon if each interior angle measures 160°?

Mathematics

1 answer:

Temka [501]2 years ago

4 0

Answer:

Step-by-step explanation:

180-160 = 20 which equals the exterior angle

the sum of exterior angles is 360 so 360/20 = the number of sides as there is an exterior angle for every side

360/20 = 18

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Given △MON≅△PQR with MO=20 , MN=32 and PR=3x−10. Find the value of x. show your work

aliya0001 [1]

Answer:

$x=14$

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

△MON≅△PQR

corresponding sides

MO≅PQ

MN≅PR

ON≅QR

corresponding angles

∠M≅∠P

∠O≅∠Q

∠N≅∠R

therefore

MN=PR

substitute the given values

$32=3x-10$

solve for x

$3x=32+10$

$3x=42$

$x=14$

3 0

2 years ago

How to find the area?

Novay_Z [31]

2*l*w+2*l*h+2*w*h plug in then solve

8 0

3 years ago

At a certain zoo, the average mass of one blue whale is measured to be 1.9 × 105

professor190 [17]

Answer:

2.7930 × $10^{4}$

Step-by-step explanation:

1.9 × 105 × 140 = 27,930

Scientific notation: 2.7930 × $10^{4}$

3 0

1 year ago

Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

The number of cookies and trays are illustrations of greatest common factors.

The number of trays is 8
6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

The given parameters are:

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

(a) The number of trays

To do this, we simply calculate the greatest common factor of 48, 64 and 120

Factorize the numbers, as follows:

$\mathbf{48 = 2 \times 2 \times 2 \times 2 \times 3}$

$\mathbf{64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2}$

$\mathbf{120 = 2 \times 2 \times 2 \times 3 \times 5}$

So, the GCF is:

$\mathbf{GCF= 2 \times 2 \times 2}$

$\mathbf{GCF= 8}$

Hence, the number of tray is 8

(b) The number of each type of cookie

We have

$\mathbf{Chocolate\ chip=48}$

$\mathbf{Rainbow=64}$

$\mathbf{Oatmeal=120}$

Divide each cookie by the number of trays

So, we have:

$\mathbf{Chocolate\ chip = \frac{48}{8} = 6}$

$\mathbf{Rainbow = \frac{64}{8} = 8}$

$\mathbf{Oatmeal = \frac{150}{8} = 15}$

Hence, 6 chocolate chips, 8 rainbows and 15 oatmeal cookies would fit each tray

Read more about greatest common factors at:

brainly.com/question/11221202

4 0

1 year ago

Algebra II help I'm struggling

Dmitry [639]

Answer is B

total cost = $30 + 0.5 *(miles driven)
.................

7 0

2 years ago