Answer:
<x= 31°
Step-by-step explanation:
m<BCA= m<GCJ (vertical angles)
m<BCA= 59° (substitution)
Since line KL is perpendicular to line FG, the angle formed at point B is 90°.
Therefore, m<ABC=90°
m<BAC+m<ABC+m<BCA=180° (sum of triangle)
m<BAC+90°+59°=180° (substitution)
m<BAC+149°=180°
m<BAC=180°-149°
m<BAC=31°
<x=<BAC (vertical angles)
m<x=31° (substitution)
Answer:
12
Step-by-step explanation:
Orange juice: $2.20 per bottle.
10 bottles of orange juice cost 10 * $2.20 = $22.00.
We subtract the cost of the 10 bottles of orange juice from the amount of money he has to find out the amount he will have left for bottles of apple juice.
$50.80 - $22.00 = $28.80
After buying the 10 bottles of orange juice, he has $28.80 left.
We divide the money he has left for apple juice bottles by the price of one apple juice bottle to find out the number of apple juice bottles he can buy.
$28.80/$2.40 = 12
He can buy 12 bottles of apple juice.
Reflection and dilation is the transformation which will occur to map triangle ABC triangle to A^ * B^ n C^ prime.
<h3>What is a Triangle?</h3>
This refers to a plane figure which has features such as three angles and three sides.
Reflection and dilation involves flipping and enlargement/reduction respectively which gives rise to the sides being changed.
Read more about Triangle here brainly.com/question/1058720
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Answer:
20 and 25.
Step-by-step explanation:
Given:
They both teach total 45 yoga classes each week.
Erica teaches 15 fewer than twice as many as Bo.
To find:
How many classes does each instructor teach per week = ?
Solution:
Let number of classes are taken by Bo = 
Then number of classes are taken by Erica = 
(given)
Total number of classes are taken by both = 45 (given)
According to the question.
+ = 45
By adding both side by 15
By dividing both side by 3
number of classes are taken by Bo = = 20
number of classes are taken by Erica =
= 
Therefore, number of classes are taken by Bo and Erica is 20 and 25.
37.22 gallon or if you round up it would be 37 and 1/4
