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lakkis [162]
3 years ago
14

Find angle measures and use angles to classify triangles.

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0

Answer:

1) 55 degrees

2) 90 degrees

3) 105 degrees

Step-by-step explanation:

All triangles equal to 180 degrees. So to find the missing angle measure you have to subtract the two given measures by 180.

First triangle:

180 - 50 - 75 = 55 degrees

Second triangle:

180 - 60 - 30 = 90 degrees

Third triangle:

180 - 45 - 30 = 105 degrees

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Suppose that ff is a differentiable function on the real line, we have −2≤f′(x)≤4−2≤f′(x)≤4 for all real numbers xx and f(2)=4f(
MariettaO [177]

Answer:

(a)-6 and 24

(b)-12 and 12.

Step-by-step explanation:

Using the mean value theorem,

Suppose that f is a function which is continuous on a closed interval [a, b] and differentiable on an open interval (a, b), then there

exists a number c in (a, b) so that

f^{'}(c)= \frac{f(b)-f(a)}{b-a}

for every closed interval [a,b].

−2≤f′(x)≤4 and f(2)=4

First, we determine the largest and smallest possible value for f(7).

In the Interval [2,7],

f^{'}(x)= \frac{f(7)-f(2)}{7-2}

Since −2≤f′(x)≤4

-2$\leq$\frac{f(7)-f(2)}{5}$\leq$4

Recall that: f(2)=4

-2$\leq$ \frac{f(7)-4}{5}$\leq$4

-2X5$\leq$ f(7)-4$\leq$4X5

-10+4$\leq$ f(7)-4+4$\leq$20+4

-6$\leq$ f(7)$\leq$24

The greatest and least value are 24 and -6 respectively.

Similarly for f(-2)

In the Interval [-2,2],

f^{'}(x)= \frac{f(2)-f(-2)}{2-(-2)}

Since −2≤f′(x)≤4

-2$\leq$ \frac{f(2)-f(-2)}{4}$\leq$4

Recall that: f(2)=4

-2$\leq$ \frac{4-f(-2)}{4}$\leq$4

-2X4$\leq$ -f(-2)+4$\leq$4X4

-8-4$\leq$ -f(-2)-4+4$\leq$16-4

-12$\leq$ -f(-2)$\leq$12

Dividing all through by negative

-12$\leq$ f(-2)$\leq$12

The greatest and least value are 12 and -12 respectively.

3 0
3 years ago
B) Order these measurements from greatest to least.
alexandr402 [8]
2,300 L—> 22L—>3,000ml—>2L—>500ml. I first started with the greatest amount of liters and then went to the least amount. For the 3000ml it’s 3 liter because there are 1,000 ml per liters and 3 is greater then 2.
3 0
3 years ago
2(n-1)+4n=2(3n-1)
aleksandr82 [10.1K]

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2? Yes, -2 equals -2.

Therefore, the answer is infinitely many solutions, meaning that <em>n </em>can be any real number.

5 0
4 years ago
Does this graph represent a function?
Pie

Answer is A

Yes because each x value has exactly one corresponding y value

7 0
3 years ago
Read 2 more answers
What is a possible first step when multiplying 4/5 by 3
Serhud [2]
It’s D, as you would multiply 4 and 3, and put it over 5.
8 0
3 years ago
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