The boat company makes 4 boats in 20 days. At that rate, how many boats could they make in 30 days?
2 answers:
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Answer:
<em>The measure of angle J is 44°</em>
Step-by-step explanation:
<u>Isosceles Trapezoid</u>
The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.
It means: Angle J is congruent with angle K and angle M is congruent with angle L
The sum of angles in a trapezoid is 180*(4-2)=360°
Thus:
Joining like terms:
Adding 24:
Dividing by 64:
x=6°
Thus:
The measure of angle J is 44°
Answer:
D. (10, 15)
Step-by-step explanation:
Hi there!
We are given the following system:
+y=20
x+4y=70
And we want to solve it (find the values of x and y).
Let's use substitution for this problem, where we will isolate one variable on one side, while the other side contains an expression with the other variable. Then, we use the expression to solve for the variable that the expression contains, then use the value of that variable to solve for the aforementioned isolated variable.
Subtract from both sides in the first equation
y=20-
Now substitute 20- as y in x+4y=70
x+4(20-)=70
Do the distributive property
x+80-2x=70
Combine like terms on the left
-x+80=70
Subtract 80 from both sides
-x=-10
Multiply both sides by -1
x=10
We found the value of x. Now let's use that value to find what y is
Since we know that y=20- and x=10, we can substitute 10 as the value of x to solve for y
In that case,
y=20-(10)
Multiply
y=20-5
Subtract
y=15
The answer is x=10, y=15, or as a point, <u>(10, 15), aka D</u>
Hope this helps!