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3 years ago

the measure of the supplement of an angle is 30 more than twice the measure of the angle. find the measure of the angles

1 answer:

7 0

Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees

If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.

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An experiment consists of rolling a die, flipping a coin, and spinning a spinner divided into 7 equal regions. The number of ele

oee [108]

Answer:

Option A.

The number of elements in the sample space of this experiment is 84

Step-by-step explanation:

The sample space for an experiment represents the number of possible results that may occur when conducting the experiment.

When throwing a die and observe the number obtained there are 6 possible results

When throwing a coin there are 2 possible results.

When spinning a wheel divided into 7 regions we have 7 possible outcomes.

If we combine these three experiments, then the sample space S is composed of the product of the possible results of each experiment.

$S = (6)(2)(7)\\\\S =84$

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3 years ago

Consider the quadratic function f(x)=−x2−6x−4, which has been given a restricted domain, as shown in the following graph.

Delicious77 [7]

Domain:
(−∞,∞),{x|x∈R}
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7 0

3 years ago

Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let stand for the width of th

ruslelena [56]

Answer:

P = 4w + 8

Step-by-step explanation:

Jose is creating a map in the shape of a rectangle whose length is 4 inches longer than its width. Let w stand for the width of the map in inches. Write an equation gives the perimeter of the map in terms of w?

Perimeter of the rectangle = 2(L +w)

L is the length of the rectangle

w is the width

If the length is 4 inches longer than its width, then;

l = w + 4

Substitute into the expression;

P = 2 (L+w)

P = 2(w+4+w)

P = 2 (2w+4)

P = 4w + 8

Hence the perimeter of the map in terms of w is P = 4w + 8

3 0

2 years ago

A motorboat whose speed in 18km/h in still water takes 1 hour more to go 24 km upstream than downstream to the same spot. Find t

Olegator [25]

Answer: the speed of the stream is 6 km/h

Step-by-step explanation:

Let x represent the speed of the stream.

The speed of the motor boat in still water is 18km/h. The boat takes 1 hour more to go 24 km upstream than downstream to the same spot. This means that while going upstream, the boat moved against the direction of the stream. The total speed of the boat would be

(18 - x) and while going downstream, the boat moved in the direction of the stream. The total speed of the boat would be

(18 + x).

Time = distance/speed

The time that it took the boat to go upstream is

24/(18 - x)

Time spent upstream = time spent downstream + 1

The time that it took the boat to go downstream is

24/(18 + x) + 1

Therefore,

24/(18 - x) = 24/(18 + x) + 1

Multiplying through by 18 - x and 18 + x, it becomes

24(18 + x) = 24(18 - x) + (18 + x)(18 - x)

432 + 24x = 432 - 24x + 324 - 18x + 18x - x²

x² + 432 - 432 + 24x + 24x - 324 = 0

x² + 48x - 324 = 0

x² + 54x - 6x - 324 = 0

x( x + 54) - 6(x + 54) = 0

x - 6 = 0 or x + 54 = 0

x = 6 or x = - 54

Since the speed cannot be negative, then x = 6km/h

3 0

3 years ago

Read 2 more answers

What would be the first most logical step for this equation? x^2+2x-13=-8

amm1812

Answer:

Attachment is below

Step-by-step explanation:

8 0

2 years ago