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kompoz [17]
1 year ago
11

Given: line AB is congruent to line CD and line AD is congruent to line BC. Prove: angle D is congruent to angle B

Mathematics
1 answer:
Taya2010 [7]1 year ago
8 0
AD = BC ----> Parallel lines
AC = AC -----> Reflexive property
<A = <C -----> Congruent angles
<D = <B -----> Congruent angles
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Ariel bought nuts at the grocery store to make trail mix for her nature club. She spent a total of $23.50 on almonds and cashews
Gnom [1K]

Answer:

2.5 pounds of cashews.

Step-by-step explanation:

Let's say we have a for pounds of almonds and c for pounds of cashews.

6.5a + 5.5c = 23.5

6.5 * 1.5 + 5.5c = 23.5

9.75 + 5.5c = 23.5

5.5c = 13.75

c = 2.5

So, Ariel bought 2.5 pounds of cashews.

Hope this helps!

8 0
2 years ago
Read 2 more answers
What common angle do ACE and ACD share?
SCORPION-xisa [38]
The answer is the second option, <ACE = <ECA.

This is because C is in the middle of both, so it's referring to the same angle. The other options are all comparing different angles, that aren't congruent, so they're incorrect.
6 0
2 years ago
Read 2 more answers
Ava has 55 quarts of potting mix. She uses 1 of the potting mix in the wall planter on her
barxatty [35]

Answer:

add 55 + 1 than you will get your answe

Step-by-step explanation: because its saying how much so that mean its sayingh how much in total

6 0
1 year ago
Read 2 more answers
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔB
LekaFEV [45]

Answer:

No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.

Step-by-step explanation:

Data provided in the question

m∠ABC = 45°

m∠ECD = 45°

Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options

As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent

Therefore the last option is correct

7 0
1 year ago
A woman who is 64 inches tall has a shoulder width of 16 inches. How tall is a woman who has a shoulder width of 18.5 inches?
mel-nik [20]
If we turn this to a ratio we get 64:16 and we need ?:18.5. To easily solve this we would divide 64 by 16 and 64/16= 4 now that we know that the shoulder width is 1/4 if a persons height we can then multiply 18.5 by 4 to find the woman’s height. 18.5x4=74
So your answer is 74 inches
7 0
1 year ago
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