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Mnenie [13.5K]
2 years ago
6

∠1 and ∠2 are supplementary angles. m∠1 = x − 39, and m∠2 = x + 61. Find the measure of each angle.

Mathematics
1 answer:
marishachu [46]2 years ago
5 0
The third choice is correct.
X-39 + x+61 = 180
2x + 22 =180
2x = 158
X= 79
then you plug into the angles:
79 - 39 = 40 — angle 1
79 + 61 = 140 — angle 2

140 plus 40 is 180.
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7 0
3 years ago
3x-8<23 and -4x+26>6
Papessa [141]

Answer:

3x-8<23 and -4x+26>6

x<31/3            x<5

Step-by-step explanation:

3x-8<23

Add 8 to both sides

3x<31

Then divide 3 to both sides

x<31/3


and -4x+26>6

Minus 26 to both sides

-4x>-20

You divide -4 to both sides

Keep in mind that everytime you divide a negative the inequality will change so > will be <

x<5

3 0
3 years ago
Which property is shown by -3 x (6+5) = -3 x 6+ -3 x 5
aniked [119]

Answer:

The distributive property of multiplication

Step-by-step explanation:

we know that

The <u>distributive property of multiplication</u>  states that the product of a number by a sum, is equal to multiply each addend by the number (This is called distributing the number) and then, you can add the products

so

a*(b+c)=a*b+a*c

in this problem we have

-3*(6+5)=-3*6+-3*5 ----> the number -3 is distributed

therefore

We have the distributive property of multiplication

4 0
3 years ago
The following graph indicates a _______________.
inna [77]
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4 0
2 years ago
A ball is thrown from a height of
Alika [10]
Define
g = 9.8 32.2 ft/s², the acceleration due to gravity.

Refer to the diagram shown below.
The initial height at 123 feet above ground is the reference position. Therefore the ground is at a height of - 123 ft, measured upward.

Because the initial upward velocity is - 11 ft/s, the height at time t seconds is
h(t) = -11t - (1/2)gt²
or
h(t) = -11t - 16.1t²

When the ball hits the ground, h = -123.
Therefore
-11t - 16.1t² = -123
11t + 16.1t² = 123
16.1t² + 11t - 123 = 0
t² + 0.6832t - 7.64 = 0

Solve with the quadratic formula.
t = (1/2) [-0.6832 +/- √(0.4668 + 30.56) ] = 2.4435 or -3.1267 s
Reject the negative answer.

The ball strikes the ground after 2.44 seconds.

Answer: 2.44 s

5 0
3 years ago
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