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Answer:
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An angle bisector divides an angle in half, therefore:
m∠VUW ≅ m∠WUT
Set the expressions equal to each other:
4x + 6 = 6x - 10
Subtract 4x from both sides:
6 = 2x - 10
Add 10 to both sides:
16 = 2x
Divide 2 from both sides:
x = 8.
Substitute in the value of "x" into the equation for ∠WUT:
6(8) - 10 = 48 - 10 = 38°.
Answer:
An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.
The number of hours Lourdes will have to jog is 0.4 hours
From the given parameters:
Lourdes plans to jog for at least a distance of 1.5 miles
If Lourdes can jog averagely at the speed of 3.75 mph
Then,
the inequality that can represent the information can be written as:
= 1.5 miles ≤ 3.75 (x) miles/hour
Solving the inequality;
= 1.5 ≤ 3.75 (x)
Making (x) the subject of the formula, we have:
x = 0.4 hours
Therefore, we can conclude that the number of hours lourdes will have to jog is 0.4 hours
Step-by-step explanation:
Answer:
One Solution
Explanation:
7(y + 3) = 5y + 8
Simplify both sides of the equation
7(y + 3) = 5y + 8
(7)(y) + (7)(3) = 5y + 8 (Distribute)
7y + 21 = 5y + 8
Subtract 5y from both sides
7y + 21 − 5y = 5y + 8 − 5y
2y + 21 = 8
Subtract 21 from both sides
2y + 21 − 21 = 8 − 21
2y = −13
Divide both sides by 2
2y = −13
2y / 2 = -13 / 2
y = -13 / 2
-13 / 2 = -6.5
y = -13 / 2 or -6.5
