3/4x + 3 - 2x = -1/4 + 1/2x + 5
Put in terms of 4 as denominator
3/4x + 12/4 - 8/4x = -1/4 + 2/4x + 20/4
Combine like terms
-5/4x + 12/4 = 2/4x + 19/4
Simplify
12/4 = 7/4x + 19/4
-7/4 = 7/4x
x = -1 :)
Check:
3/4(-1) + 3 - 2(-1) = -1/4 + 1/2(-1) + 5
-3/4 + 3 + 2 = -1/4 - 1/2 + 5
-3/4 + 5 = -3/4 + 5
-3/4 = -3/4 :)
The answer is 16 units squared.
Answer:
Step-by-step explanation:
A. The difference in height between the pelican and the heron is -33 feet
E.The difference in height between the pelican and the trout is 40 feet
F .The distance between the heights of the pelican and the trout is 40 feet
all of the statements make sense
pls mark me brainliest
The measure of the angle ∠ABD is 64 degrees
<h3>How to determine the measure of the angle?</h3>
From the question, we have the following parameters:
Ray BA bisects ∠CBD
∠CBD = 5x + 18
∠ABC = 3x - 2
Because of the bisection, we have
∠ABC = ∠ABD
∠ABC * 2 = ∠CBD
Substitute the known values in the above equation, so, we have the following representation
(3x - 2) * 2 = 5x + 18
Open the brackets
6x - 4 = 5x + 18
Evaluate the like terms
x = 2
Recall that
∠ABC = ∠ABD
So, we have
∠ABD = 3x - 2
This gives
∠ABD = 3 x 22 - 2
Evaluate
∠ABD = 64
Hence, the angle is 64 degrees
Read more about angles at
brainly.com/question/7620723
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Answer: $74
<u>Step-by-step explanation:</u>
Let C represent the cost of a coach ticket
Let B represent the cost of a business ticket
Washington: 150C + 50B = 18,450
NY City: 170C + 100B = 27,280
Solve the system using the Elimination method:
-2(150C + 50B = 18,450) → -300C - 100B = -36,900
1(170C + 100B = 27,280) → <u>170C + 100B = 27,280 </u>
-130C = - 9,620
<u> ÷ -130 </u> <u> ÷ -130 </u>
C = 74