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nikdorinn [45]
3 years ago
6

Helppppppp!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0
The two triangles that make up the parallelogram are congruent, which means their corresponding angles are congruent. The opposite angles are both 115 degrees and angle 1 is equal to 50 degrees, as they are corresponding angles.
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:

180 = 115 + 50 + x
180 = 165 + x
15 = x

Answer:
The measure of angle 2 is 15 degrees.
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Can y’all help me answer these questions
cupoosta [38]

2. f(x)=\dfrac18\left(\dfrac14\right)^{x-2}

Domain: (-\infty,\infty), because any value of x is allowed and gives a number f(x).

Range: (0,\infty), because a^x>0 for any positive real a\neq0.

y-intercept: This is a point of the form (0, f(0)). So plug in x=0; we get f(0)=\frac18\left(\frac14\right)^{-2}=\frac{4^2}8=2. So the intercept is (0, 2), or just 2. (Interestingly, you didn't get marked wrong for that...)

Asymptote: This can be deduced from the range; the asymptote is the line y=0.

Increasing interval: Going from left to right, there is no interval on which f(x) is increasing, since 1/4 is between 0 and 1.

Decreasing interval: Same as the domain; f(x) is decreasing over the entire real line.

End behavior: The range tells you f(x)>0, and you know f(x) is decreasing over its entire domain. This means that f(x)\to+\infty as x\to-\infty, and f(x)\to0 and x\to+\infty.

3. f(x)=\left(\dfrac32\right)^{-x}-7

Domain: Same as (2), (-\infty, \infty).

Range: We can rewrite f(x)=\left(\frac23\right)^x-7. \left(\frac23\right)^x>0 for all x, so \left(\frac23\right)^x-7>-7 for all x. Then the range is (-7,\infty).

y-intercept: We have f(0)=\left(\frac32\right)^0-7=1-7=-6, so the intercept is (0, -6) (or just -6).

Asymptote: y=-7

Increasing interval: Not increasing anywhere

Decreasing interval: (-\infty,\infty)

End behavior: Similar to (2), but this time f(x)\to+\infty as x\to-\infty and f(x)\to-7 as x\to+\infty.

5 0
3 years ago
What is the product of any integer and -1
mixas84 [53]

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

For example, 3 * -1 = -3

Hope this helps.

5 0
3 years ago
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What is the equation of the least squares regression line for the data set?
Rus_ich [418]

hey the answer is y=1.862x−0.138 just took the test!

5 0
3 years ago
Please help me .!<br> 10 points .!
BaLLatris [955]
The answer is 19 I subtracted the 2 biggest numbers
5 0
3 years ago
A cube has an edge length of 5 inches. Determine the total surface area of the cube. ​
KonstantinChe [14]

Answer:

Step-by-step explanation:

surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.

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3 years ago
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