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2 years ago

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

1 answer:

5 0

The sum of the angles of a triangle ALWAYS sum up to 180 degrees. So to find the other angle, you would take 180, subtract 90, and then subtract 26, to get 64.
The measure of the 3rd angle equals 64.

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Find a number lower than 19 that has more factors than 19,21,23, and 25

Len [333]

12 has more factors the 19,21,,23, and 25.

7 0

3 years ago

Liam rode his bike to the store every day. It took him 45 minutes to get to school and 45 minutes to get home. If he rode for 3

Elza [17]

Answer:

1,890 minuts

Step-by-step explanation:

3 weeks = 7 days x 3 = 21 days

He rides his bike for "45 minutes to get to school and 45 minutes to get home" which is 90 minutes per day.

Therefore, in total, he rode for 21 days x 90 minutes per day = 1,890 minutes

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3 years ago

What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?

Monica [59]

Answer:

The answer to your question is m = -5/3

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

x1 = 1 y1 = -6 x2 = -8 y2 = 9

-Substitution

m = (9 + 6) / (-8 - 1)

-Simplification

m = 15/-9

-Result

m = -5/3

4 0

2 years ago

Here are six number cards.

steposvetlana [31]

Answer:

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Step-by-step explanation:

sowwy

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3 years ago

A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less

den301095 [7]

Answer:

The maximum height of the prism is $12\ m$

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

$A=L*W$

$A\leq 27\ m^{2}$

$L*W\leq 27$ -------> inequality A

$W=x-9$ ------> equation B

$L=W+6$ -----> equation C

Substitute equation B in equation C

$L=(x-9)+6$

$L=x-3$ ------> equation D

Substitute equation B and equation D in the inequality A

$(x-3)*(x-9)\leq 27$ -------> using a graphing tool to solve the inequality

The solution for x is the interval----------> $[0,12]$

see the attached figure

but remember that

The width of the base must be $9$ meters less than the height of the prism

the solution for x is the interval ------> $(9,12]$

The maximum height of the prism is $12\ m$

8 1

2 years ago

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