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3 years ago

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Given the diagram above . . . 1. Is m∠A = 105? Explain. 2. Is ∠B = 75? Explain.

1 answer:

maw [93]3 years ago

6 0

1. Angle A is not 105degrees. As you can see on the horizontal line that it lies on, it's under 90degrees(acute). The angle aside from it is over 90degrees(obtuse).

2.Angle B is in fact not 75degrees.. By looking at the angle it's obtuse, over 90 degrees, so it can't be 75degrees.

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Nana can pack a bag of groceries in six tenths of a minute. At that rate, how many bags of groceries can she pack in 15 minutes?

netineya [11]

$\frac{1}{6/10} = \frac{x}{15} \\ \\ 15= \frac{6}{10} x \\ \\ 150=6x \\ \\ 25=x$

25 bags

3 0

4 years ago

Kennedy's car used 11 gallons to travel 319 miles. How many gallons of gas would she need to travel 406 miles?

Dovator [93]

Answer:

14

Step-by-step explanation:

319 / 11 = 29

(Quick Check) 11 x 29 = 319

----------------------------------------------

So..

406 / 29 = 14

(Quick Check) 14 x 29

I hope I helped.

4 0

1 year ago

Which graph below shows a line that contains ordered pairs that are solutions of the equation shown?

Vinvika [58]

Given:

The equation is:

$y=-x+4$

To find:

The graph of the line that contains ordered pairs that are solutions of the given equation.

Solution:

We need to find the graph of the given equation.

We have,

$y=-x+4$

At $x=0$ , we get

$y=-0+4$

$y=4$

So, the x-intercept of the given equation is at point (0,4).

At $y=0$ , we get

$0=-x+4$

$x=4$

So, the y-intercept of the given equation is at point (4,0).

From the given graphs it is clear that the line in option C has x-intercept at point (0,4) and y-intercept at point (4,0).

Therefore, the correct option is C.

7 0

3 years ago

Solution to the inequality 16x−33x<37x+27.

astra-53 [7]

<em><u>The solution to the inequality is:</u></em>

$x>\frac{-1}{2}$

<em><u>Solution:</u></em>

Given inequality is:

$16x-33x$

We have to find the solution to given inequality

$\mathrm{Add\:similar\:elements:}\:16x-33x=-17x$

$-17x$

$\mathrm{Subtract\:}37x\mathrm{\:from\:both\:sides}$

$-17x-37x$

Simplify the above inequality

$-54x$

$\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$

Remember that, change the inequality sign if you divide or multiply both sides by a negative number

If you divide or multiply both sides by a positive number,the inequality sign will not change

$\left(-54x\right)\left(-1\right)>27\left(-1\right)\\\\54x>-27$

$\mathrm{Divide\:both\:sides\:by\:}54$

$\frac{54x}{54}>\frac{-27}{54}\\\\x>-\frac{1}{2}$

Thus the solution to inequality is found

3 0

4 years ago

How many prime numbers are between 1 and 100

sweet [91]

There are 25 prime numbers.

8 0

3 years ago

Read 2 more answers