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Kitty [74]
2 years ago
13

6. Which statement is true? 8.8D

Mathematics
1 answer:
quester [9]2 years ago
4 0

Answer:

C.

Step-by-step explanation:

The two angles are better known as corresponding angles, and since the two lines are parallel, then the angles must be congruent. This means x = 115 degrees.

C. The values of x is 115 because the two angles shown are congruent.

<u>Why the other answers are wrong:</u>

A & B are wrong because it states the two angles are supplementary, but supplementary angles have to add up to 180 degrees and 115+115 is 230 not 180.

D is wrong because there's no logical explanation to why you would subtract 90 degrees from 115 to solve for x.

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A pan is heated to 393°F, then removed from the heat and allowed to cool in a kitchen where the room temperature is a constant 6
deff fn [24]

Answer:

The approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

Step-by-step explanation:

The formula for D, the difference in temperature between the pan and the room after t minutes is:

D = 324\cdot e^{-0.05t}

Compute the approximate difference in temperature between the pan and the room after 9 minutes as follows:

D = 324\cdot e^{-0.05t}

    =324\times e^{-0.05\times 9}\\\\=206.59

Then the approximate temperature of the pan after it has been away from the heat for 9 minutes is:

D = P - R

206.59 = P - 69

P = 206.59 + 69

P = 275.59°F

Thus, the approximate temperature of the pan after it has been away from the heat for 9 minutes is 275.59°F.

6 0
3 years ago
Equation of the line contains the points (-3,2) and (5,-5)
makkiz [27]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}): (- 3,2)\\(x_ {2}, y_ {2}) :( 5, -5)

So the slope is:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-5-2} {5 - (- 3)} = \frac {-7} {5 + 3} = - \frac {7} {8}

Thus, the equation of the line is of the form:

y = - \frac {7} {8} x + b

We substitute one of the points and find "b":

2 = - \frac {7} {8} (- 3) + b\\2 = \frac {21} {8} + b\\b = 2- \frac {21} {8}\\b = \frac {16-21} {8}\\b = - \frac {5} {8}

Finally, the equation is:

y = - \frac {7} {8} x- \frac {5} {8}

Answer:

y = - \frac {7} {8} x- \frac {5} {8}

6 0
3 years ago
Which set of ordered pairs represents a function?
Paladinen [302]
3 because the numbers for x are all different
5 0
3 years ago
In APRT, PS = 12 cm, UV = 2 cm, and ST = 7 cm. What is the measure of RV?​
Bezzdna [24]

Answer:

Which real-world situation involves division with a negative number?

splitting a $22.5 million company debt evenly among 2.4 million shareholders

converting 29.21 centimeters to inches by dividing by 2.54

calculating how much a 6.3 inch plant grew each day, on average

calculating the price of one pound of bananas if 3.9 pounds costs $2.34

Step-by-step explanation:

5 0
3 years ago
Write the equation of an exponential function that passes through the points (2,48) and (5,750).
Otrada [13]
Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
7 0
3 years ago
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