Answer:
AA similarity
Step-by-step explanation:
Using angle sum theorem, you can clearly find out the missing angles on the left and right triangles are 40° and 50° respectively.
Therefore, by using any two angles in the triangles, you can prove they are similar by AA similarity.
Since Bryan spent $15.50 less than Sarah, you would start by dividing the total amount they spent together in half.
$47.50 ÷ 2 = $23.75
Then you would take Bryan's 1/2 of the total and subtract $15.50.
$23.75 - $15.50 = $8.25
So, it looks like Bryan spent $8.25.
Check step:
If you add it all back together:
Sarah + Sarah Bryan = Total
$23.75 + $15.50 + $8.25 = $47.50
Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.
We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.
As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6
It’s asking for the ratio of Him:Wife:Son, so 36:30:6.
BUT, it’s asking for simplest form, so divide each of those numbers by 6.
Your answer is: 6:5:1
Answer:
There are 8 true/false questions and 26 fill-in-the-blank questions.
Step-by-step explanation:
Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.
Mrs. Simmons gave a history test worth 92 points. Symbollically,
2 t + 5 f = 92 [1]
There were a total of 34 questions in the test. Symbollicaly,
t + f = 34
t = 34 - f [2]
If we replace [2] in 1, we get
2 (34 - f) + 5 f = 92
68 - 2 f + 5 f = 92
3 f = 24
f = 8
We replace f = 8 in [2],
t = 34 - 8 = 26
There are 8 true/false questions and 26 fill-in-the-blank questions.
96°.
Since sides AB and AC ane equal, that means that angle B is equal to angle C. The measurement of all the angles of a triangle always equals 180°, so if you add angles B and C, you should get 84° and then you should be able to find angle A. Subtract 84° from 180° and you should get 96°.