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3 years ago

Which congruence statements are true? Choose all answers that are correct? A: B: C: D:

Mathematics

1 answer:

tester [92]3 years ago

4 0

Answer:

Correct choices are A and C

Step-by-step explanation:

Inscribed angles property: The inscribed angles subtended by the same arc are equal.

1. Angles EFH and EGH are both inscribed angles subtended by the arc EH. Therefore, these angles are congruent (option A is true).

2. Angles GHF and GEF are both inscribed angles subtended by the arc GF. Therefore, these angles are congruent (option C is true).

3. Angles EGH and FHG are interior angles of the triangle KGH and can be congruent (if triangle is isosceles) or can be not congruent (in general). Thus, option B is false.

4. Angles EFH and FHG in general are not congruent. They can be congruent only when arcs EH and FG have the same measure. In general, option D is false.

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Which equation would represent 30 kittens divided into groups of 4

ollegr [7]

Answer:

30÷4

Step-by-step explanation:

8 0

3 years ago

Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5

Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

$\frac{4}{2}$ = $\frac{1.2}{x}$ = $\frac{2.5}{y}$

(x = the new # of sugar y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0

3 years ago

Jayden and Chandra are cleaning the house. It has 12 rooms, and each room is about the same size. When Jayden cleans by himself,

madam [21]

We know that

Jayden cleans 12 rooms in---------------> 6 hours
X rooms-------------------------------------> 4 hours
X=4*12/6--------> 48/6---------> 8 rooms
that means Jayden cleans in 4 hours 8 rooms

Chandra cleans 12 rooms in---------------> 12 hours
X rooms-------------------------------------> 4 hours
X=4*12/12--------> 48/12---------> 4 rooms
that means Chandra cleans in 4 hours 4 rooms

the answer is
Jayden = 8 blankrooms
Chandra = 4 blankrooms

6 0

3 years ago

From a group of 11 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group

Artemon [7]

Answer:

2/11

Step-by-step explanation:

Probability is the LIKELIHOOD of an event.

According to the word problem, there are 11 people in total and 2 of them are being selected.

The probability of them being the 2 oldest people is 2 in 11, or 2/11.

8 0

2 years ago

Ratios that are equivalent to 25%

Nataliya [291]

Percent means parts ot of 100
25%=25/100=1/4
ratio is 1:4 or 2:8 or 6:12

4 0

3 years ago