Y-3=-3y-43
4y-3=-43
4y=-46
y=-11.5
Considering the given <em>information</em> in the question, the value of x is
, and that of y is
.
A <u>transversal</u> is a <em>line</em> that <em>cuts</em> through two given parallel lines. Thus it i<em>ntersects</em> each parallel line at a point, forming <u>four</u> angles each.
From the given <em>information</em> in the question, it can be <em>inferred</em> that:
the given<u> bottom</u> right angle of the first<em> intersection</em> and the bottom right angle with the <em>second intersection</em> are <u>congruent </u>(corresponding angle property).
So that,
= 
=
- 
=
............ 1
Also given that the top <em>right angle</em> at the<u> second</u> intersection is a <em>right </em>angle, then;
+
=
(sum of angles on a straight line)
This implies that;
=
- 
= 
So that,
y = 
y = 
Thus substituting the value of y in equation 1, we have;
=
........ 1
= 8(7.5)
5x = 60
x = 
x = 
Therefore, x =
and y = 
For more clarification on a transversal of two parallel lines, check: brainly.com/question/1751268
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Answer:
Step-by-step explanation:
4y - 16 + 68 = 180
4y + 52 = 180
4y = 128
y = 32
2x - 24 = 68
2x = 92
x = 46
Answer:
7 donkeys
Step-by-step explanation:
Given
A system consisting of donkeys and tourists
Heads = 50
Legs = 114
Required
Calculate number of donkeys.
Represent donkeys with D and tourists with T.
By means of identification; donkeys and tourists (human) both have 1 head.
This implies that
Number of Heads = D + T
50 = D + T ----- Equation 1
While each donkey have 4 legs, each tourists have 2 legs.
This implies that
Number of legs = 4D + 2T
114 = 4D + 2T ---- Multiply both sides by ½
114 * ½ = (4D + 2T) * ½
57 = 4D * ½ + 2T * ½
57 = 2D + T ----- Equation 2
Subtract equation 1 from 2
57 = 2D + T
- (50 = D + T)
---------------------
57 - 50 = 2D - D + T - T
7 = D
Recall that D represents the number of donkeys.
So, D = 7 implies that
The total number of donkeys are 7
The answer is -11.25°F
detailed answer is in the attached image.