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ollegr [7]
3 years ago
12

Find the measure of each angle.show work

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0
Hi there!

7. We need to figure out the value of the missing angle and subtract that from 180 to find the exterior angle.

WORK:
180 - 28 - 58 = 94
180 - 94 = 86
? = 86 degrees.

8. First, we need to figure out the value of the missing angle and subtract the value of the missing angle from 180 to find the exterior angle.

WORK: 
180 - 35 - 95 = 50
180 - 50 = 130
? = 130 degrees.

9. To solve for x, we need to set the exterior angle equal to its opposite interior angles and solve.

WORK:
8 + 6x = 30 + 4x + 2
2x + 8 = 32
2x = 24
x = 12 degrees

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Plsss help ill give brainiest
Elena L [17]

To solve this problem, we have to use the area of both gauze or the dimensions on each gauze and compare them. we can see that the sheets are not similar as they have different areas.

<h3>Area of Rectangle</h3>

The area of a rectangle is given as the product between the length and it's width.

Data;

  • Length = 9in
  • Area = 45in^2
  • width = ?
  • length 2 = 4in
  • width 2 = 3in

area = length * width

In the first gauze, the area is given as 45in^2 and we have value of the length. To find the width of the first gauze can be calculated as

A = length * width\\width = \frac{area}{length} \\width = \frac{45}{9} \\width = 5in

We can see that the width are not equal so is their length.

But if we would truly compare them, the accurate way to do that is by their area

The area of the second gauze is given by

a = 3 * 4 = 12in^2

From the above calculations, we can see that the sheets are not similar as they have different areas.

Learn more on area of a rectangle here;

brainly.com/question/25292087

3 0
2 years ago
The area of a rectangle is 42 m2, and the length is
MrRissso [65]

Answer:

length = 14 m

width = 7 m

Step-by-step explanation:

l = length

w = width

l = 2w - 8

w(2w - 8) = 42

2w² - 8w - 42 = 0

you can factor out a 2 to work with smaller numbers:

w² - 4w - 21 = 0

(w - 7)(w + 3) = 0

w = 7

'w' cannot equal a negative so we discount it as an answer

find length:

l = 2(7) - 8

l = 14 - 8 or 6m

6 0
3 years ago
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt

\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt

= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}

= 330.45 - 109.72

= 220.7333

Answer: 221

3 0
3 years ago
The diagonals of rhombus ABCD intersect at E. Given that m∠CAD=20° and CE=4, find the m∠CDA.
morpeh [17]

Given :

The diagonals of rhombus ABCD intersect at E.

∠CAD = 20°.

To Find :

The angle ∠CDA.

Solution :

We know, diagonals of a rhombus bisects each other perpendicularly.

So, ∠DEA = 90°.

In triangle ΔEAD :

∠EAD + ∠AED + ∠EDA = 180°

20° + 90° + ∠EDA = 180°

∠EDA = 70°

Now, we know diagonal of rhombus also bisect the angle between two sides .

So, ∠CDA = 2∠EDA

∠CDA = 2×70°

∠CDA =140°

Therefore, ∠CDA is 140°.

3 0
3 years ago
Simplify 4-2y+(-8y)+6.2
Darina [25.2K]
Hi there

4 - 2y - 8y + 6.2
4 - 10y + 6.2
-10y + 6.2 + 4
-10y + 10.2


Good luck :)

4 0
3 years ago
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