The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
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Answer:
nope i am so sorry but, maybe someone else will be able to find the answer
Step-by-step explanation:
Answer:
the ratio = x/24
Step-by-step explanation:
It is given that,
unknown amount (x) invested in company A to the known amount ($24) invested in company B
The amount invested in company A is x and
The amount invested in company B is $24
Therefore the ratio of the amounted invested in company A to that of company B is x/24
Therefore the answer x/24
Answer:
y=1 , z=-2
Step-by-step explanation:
I will use the method of elimination :
Multiply the top equation by 5 to make equation 3 :
35z + 15y = -55
Multiply bottom equation by 3 to make equation 4:
6z + 15y = 3
Subtract equation 3 from equation 4 to eliminate the y :
-29z = 58
Divide both sides by -29 to solve for z :
z = 58 ÷ -29
z = -2
Substitute this value into either equation 1 or 2 to solve for y :
I chose equation 2 :
2(-2) + 5y = 1
-4 + 5y = 1
Add 4 to both sides :
5y = 5
Divide both sides by 5 :
y = 1
Hope this helped and have a good day
Answer:
77 weeks
Step-by-step explanation:
Let the number of weeks be represented as x
The equation for the above question is given as:
146 + 2(x) = 300 pieces
146 + 2x = 300
2x = 300 - 146
2x = 154
x = 154/2
x = 77
Bryan would be needing 77 weeks of lessons