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MArishka [77]
2 years ago
9

b) Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning. (1 point)

Mathematics
2 answers:
Oksi-84 [34.3K]2 years ago
8 0

Answer:

incorrect

Step-by-step explanation:

pickupchik [31]2 years ago
6 0

Answer:

She is incorrect.

Step-by-step explanation:

ABCD is a quadrilateral. Angle C measures less than 180 degrees. The sum of the measures of two supplementary angles equals 180 degrees. The sum of the measures of angles DCA and BCA equals the measure of angle C, but angle C measures less than 180 degrees, so the angles are not supplementary.

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A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of
KIM [24]

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

3 0
2 years ago
Suppose that 76% of americans prefer coke to pepsi. A sample of 27 was taken. What is the probability that less than sixty perce
vodomira [7]

Answer:

0.0403

Step-by-step explanation:

Given that 76% of americans prefer coke to pepsi.

Let x be the number of people who prefers coke to pepsi.

X is binomial as each trial is independent, and there are only two outcomes.

A sample of 27 was taken.

We have to find the probability that  less than sixty percent of the sample prefers coke to pepsi

60% of 27 = 27(0.6) = 16.2

Required probability = P(X

Hence prob=0.0403

5 0
2 years ago
Angela's car payment is due January 31. This bill is always paid automatically from her checking account. It is January 30 and A
hram777 [196]
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7 0
2 years ago
Read 2 more answers
At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday. The pizzeria made a to
vivado [14]

Answer:

Option B is correct

36 pizzas were topped with vegetables

Step-by-step explanation:

Let x be the number.

As per the statement:

At a pizzeria, the ratio of pizzas topped with meat to pizzas topped with vegetables was 4:3 on Saturday.

The ratio of pizza topped with meat to pizzas topped with vegetables = 4 : 3

then;

the number of pizza topped with meat = 4x

and

the number pizza topped with vegetables  = 3x

It is also given that the pizzeria made a total of 84 pizzas that day.

\text{Total Pizzas} = \text{Number of pizzas topped with meat}+ \text{Number of pizzas topped with vegetables}

Substitute the given values we get;

84 = 4x+3x

Combine like terms;

84= 7x

Divide both sides by 7 we get;

12 = x

The pizza were topped with vegetables = 3x = 3(12) = 36

therefore, 36 pizzas were topped with vegetables


6 0
2 years ago
Read 2 more answers
Eva has four sets of straws.
hodyreva [135]
D

You need to use trigonometry, and square all of the numbers, you then add the lowest two and they should sum to the other number.

The set that this works for is the correct set.

Hope this helps x
8 0
2 years ago
Read 2 more answers
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