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Brums [2.3K]
3 years ago
12

I don't know this problem​

Mathematics
1 answer:
Semmy [17]3 years ago
4 0

Answer:

<em>Answers below</em>

Step-by-step explanation:

A linear pair of angles is formed when two lines intersect.

Two angles are linear if they are adjacent angles formed by two intersecting lines.

Since the measure of a straight angle is 180°, a linear pair of angles must add up to 180°.

1. Two angles that add up to 180° are called supplementary.

2. The image shows a linear pair of angles. On the left side, the angle measures 2x, on the right side, the angle measures x+30. Since the sum is 180°:

2x + x + 30 = 180

Simplifying:

3x + 30 = 180

Subtracting 30:

3x = 180 - 30 = 150

Dividing by 3=

x = 150 / 3 = 50

x = 50°

3. The angle on the left is 2x = 100°

Angle measure on the left = 100°

4. The angle on the right is x+30 = 80°

Angle measure on the right = 80°

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what is the product in simplest form state any restrictions on the variable x+​2/​x-​1/​x+​4/​x^​2+​4*​x-​5
ValentinkaMS [17]

When it is simplified it is (\frac{(x+2)(x+5)}{x+4})

1 or 5

5 0
3 years ago
A circle with radius of 3cm sits inside a 8 cm x 7cm rectangle what is the area of the shaded region?
Temka [501]

Answer:

You have to say which one is the shaded region the circle or the rectangle

Step-by-step explanation:

5 0
3 years ago
What is the sum of an infinite geometric series if the first term is 81 and the common ratio is 2⁄3?
Marrrta [24]

C

the sum to infinity of a geometric series  = \frac{a}{1-r}

where a is the first term and r the common ratio

= \frac{81}{\frac{1}{3} } = 81 × 3 = 243



4 0
4 years ago
Please someone help me to prove this. ​
morpeh [17]

Answer:  see proof below

<u>Step-by-step explanation:</u>

Use the Double Angle Identity: sin 2Ф = 2sinФ · cosФ

Use the Sum/Difference Identities:

sin(α + β) = sinα · cosβ + cosα · sinβ

cos(α - β) = cosα · cosβ + sinα · sinβ

Use the Unit circle to evaluate: sin45 = cos45 = √2/2

Use the Double Angle Identities:   sin2Ф = 2sinФ · cosФ

Use the Pythagorean Identity: cos²Ф + sin²Ф = 1

<u />

<u>Proof LHS → RHS</u>

LHS:                                  2sin(45 + 2A) · cos(45 - 2A)

Sum/Difference: 2 (sin45·cos2A + cos45·sin2A) (cos45·cos2A + sin45·sin2A)

Unit Circle:    2[(√2/2)cos2A + (√2/2)sin2A][(√2/2)cos2A +(√2/2)·sin2A)]  

Expand:        2[(1/2)cos²2A  + cos2A·sin2A + (1/2)sin²2A]

Distribute:              cos²2A   + 2cos2A·sin2A + sin²2A  

Pythagorean Identity:    1 + 2cos2A·sin2A

Double Angle:                1 + sin4A

LHS = RHS:  1 + sin4A = 1 + sin4A   \checkmark

6 0
3 years ago
ginnys favorite cookie recipe requires 1 1/2 cup of sugar to make 24 cookies. How much sugar will she need to make 36 cookies
scZoUnD [109]

Answer:

2 1/4

Step-by-step explanation:

set 1.5/24=x/36

cross multiply to find x

4 0
3 years ago
Read 2 more answers
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