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2 years ago

Lines AB and BC are perpendicular. The dashed rays bisect angles ABD and

Mathematics

1 answer:

andrew-mc [135]2 years ago

4 0

It is 45 because angle ABC is 90 degrees and line D splits each side into two equal parts and half of 90 is 45 degrees

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If two parallel lines are cut by a transversal, then would the same side interior angles ever be congruent?

Sholpan [36]

Answer:

Step-by-step explanation:

Yes!

If the traversal is perpendicular to the parallel lines.

6 0

3 years ago

Which of the following is the best estimate for the total change in distance from the group of students' original position at t

ahrayia [7]

Answer:

- 20 feet

Step-by-step explanation:

4 0

3 years ago

Sophia‘s favorite homemade cookie recipe requires one cup of chocolate chips for 10 servings if the number of cups required for

weqwewe [10]

Answer:

3 cups

Step-by-step explanation:

We can use a proportion to find how many cups of chocolate chips she needs for 30 servings. Assuming c = cups of chocolate chips and b = batches

$\frac{c}{b}$

$\frac{1}{10} = \frac{c}{30}$

We can now multiply the diagonal values that don't include the missing variable (30 and 1) and then divide it by the value that is diagonal to the variable (10)

$30 \cdot 1 = 30\\30 \div 10 = 3$

Therefore, she needs 3 cups of chocolate chips to make 30 servings.

8 0

3 years ago

Read 2 more answers

The multi has 4 identical rectangular basketball courts. The sum of the perimeters of the 4 courts is 1120ft. If the width of ea

zhannawk [14.2K]

Answer:

8 ft

Step-by-step explanation:

h court is 50ft wide , how many feet long is each basket

5 0

2 years ago

At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to h

zubka84 [21]

Answer:

There is a 0.175% chance of finding such a person who has all three characteristics.

Out of 4,000 people, 7 people would likely to match all three characteristics.

Step-by-step explanation:

A crime has been committed and after analyzing the evidence, police has found out that:

The criminal's blood type is a type found in only 10% of the population.
The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.

We required to find out the probability of selecting a random person who would match all of these characteristics.

Since it is given that the three characteristics are independent of each other then the required probability is

P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)

P(all 3 characteristics) = (10/100)*(7/100)*(25/100)

P(all 3 characteristics) = 1750/1,000,000

P(all 3 characteristics) = 7/4000

P(all 3 characteristics) = 0.00175

P(all 3 characteristics) = 0.175%

So out of 4,000 people, 7 people would likely to match all three characteristics.

There is a 0.175% chance of finding such a person who has all three characteristics

3 0

3 years ago