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2 years ago

Which pairs of angles in the figure below are vertical angles?

Mathematics

1 answer:

ch4aika [34]2 years ago

6 0

Answer: Option A and Option C.

Step-by-step explanation:

For this exercise it is important to know the definition of "Vertical Angles".

When two lines intersect or cross, there are a pair of angles that share the same vertex and they are opposite each other. This pair of angles are known as "Vertical angles".

By definition, Vertical angles are congruent, which means that the have the equal measure.

In this case, you can observe in the picture provided in the exercise that the line TI and the line WN intersect each other at the point S.

You can identify that the pair of angles that are opposite to each other and share the same vertex are the shown below:

$\angle ISN$ and $\angle TSW$

$\angle TSN$ and $\angle ISW$

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The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of Arabica and Rob

Andreyy89

Answer:

If a mixture contains 1000 pounds of Arabica beans, there should be 250 pounds of Robusta beans in the mixture.

Step-by-step explanation:

700A+1,200R=1,000,000

700(1000) +1,200R=1,000,000 - First, plug in the A value and simplify .

700000+1,200R=1,000,000 - Then, subtract 700,000 from both sides.

1,200R=300,000 - Finally, divide by 1,200 on both sides of the equation.

R=250 - This is your value for R, or the Robusta beans.

250 pounds of Robusta beans

Hope this helps!

7 0

2 years ago

A politician wants to estimate the proportion of constituents favoring a controversial piece of proposed legislation. suppose th

Volgvan

Answer:

We are given:

Confidence level = 99%. Therefore, the critical value at 0.01 significance level using the standard normal table is given below:

$z_{\frac{0.01}{2}}=2.576$

Margin of error is given in the question as:

$E=0.05$

Since the previous proportion is not given, therefore, we need to assume $\hat{p} = 0.5$

Therefore, the sample size is:

$n=\hat{p}(1-\hat{p}) \left( \frac{z_{\frac{0.01}{2}} }{E} \right)$

$=0.5(1-0.5) \left( \frac{2.576}{0.05} \right)$

$=0.25 \times 51.52^2$

$=663.6 \approx 664$

Therefore, 664 sample observations are required.

4 0

2 years ago

True or false the ordered pair of x-intercept has a zero for the x-value

Artyom0805 [142]

X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement " The ordered pair of x-intercept has a zero for the x-value" is false.
 The ordered pair of x-intercept has a zero for the y-value.

6 0

2 years ago

Tammy decorated her art project with 12 different colors of sequins if she used 15 of each color how many sequins did tammy use

lbvjy [14]

We are given that:
Tammy used 12 different colors of sequins
Tammy used 15 sequin of each color.

Therefore, to get the total number of sequins that she used, we will multiply the number of colors by the number of sequins of each color as follows:
Total number of sequins = 12*15 = 180 sequins

5 0

2 years ago

Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 an

Tju [1.3M]

Answer:

7 cups of flour

reason:

to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6

(I may be wrong this is just how I did it)

3 0

2 years ago

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