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3 years ago

What is the value of Q

Mathematics

2 answers:

oksian1 [2.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

The three angles should add to 180 degrees because they come from the same straight line. So 180-52-58=70.

KatRina [158]3 years ago

3 0

Answer:

∠q = 70

Step-by-step explanation:

Angles formed on a straight line add up to equal 180°

Thus, 180 = 52 + 58 + q

52 + 58 = 110

180 = 110 + q

180 - 110 = 70

Hence, q = 70

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Which expression is equivalent to 16^3?<br> 6^7<br> 2^11<br> 2^12<br> 2^64

ArbitrLikvidat [17]

Answer:

2^12

Step-by-step explanation:

16^3 = (2^4)^3 = 2^(4x3) = 2^12

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4 years ago

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A rectangle has length x and width x – 3. The area of the rectangle is 10 square meters. Complete the work to find the dimension

Tamiku [17]

Answer:

Step-by-step explanation:

Area of rectangle = Length × Width

The given rectangle has a length if x meters

The width of the triangle is (x-3) meters

The area of the rectangle is given as 10 square meters.

Area if rectangle = x(x-3) = 10

Multiplying each term in the parentheses,

x^2 -3x = 10

x^2 -3x -10 = 0

This is a quadratic equation

We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes

x^2 + 2x - 5x -10 = 0

x(x+2)-5(x+2) =0

( x + 2)(x-5) = 0

x = -2 or x = 5

The length of the rectangle cannot be negative so the length is 5 meters

Widith = x+3 = 5-3 = 2 meters

5 0

4 years ago

Solve: 4x+6y+2=0 and 9y=6x+21

AVprozaik [17]

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3 years ago

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Jason works at least 5 hours but not more than 10. He earns $15.00 per hour. The function f(t)=15t represents the money he earns

solniwko [45]

Range (f(5),f(10))
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5 0

3 years ago

Stella graphed y = 100 - 25/3 * x to represent the percentage of battery life remaining on her phone after x hours. What is a re

Leya [2.2K]

Answer:

from 0 to 12 hours, that is $0\leq x\leq 12$

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: $x\geq 0$

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

$y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12$

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

$0\leq x\leq 12$ hours

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3 years ago