Pls help pls pls pls.In a class of 50 students, 3/5 of the students study Maths, 3/10 of the students study English and rest stu
1 answer:
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Answer:
Valentina and Laura finished the same total number of shirts in hours.
Total number of shirts finished by Valentina
Total number of shirts finished by Laura
Step-by-step explanation:
Suppose that Valentina and Laura finished the same total number of shirts in hours.
Valentina can embroider 2 shirts per hour and Valentina has already completed 15 shirts.
Total number of shirts finished by Valentina
Laura can get through 3 shirts per hour and Laura has completed 11 shirts.
Total number of shirts finished by Laura
Therefore,
So,
Valentina and Laura finished the same total number of shirts in hours.
Total number of shirts finished by Valentina
Total number of shirts finished by Laura
Answer:
Step-by-step explanation:
The opposite angles in a quadrilateral theorem states that when a quadrilateral is inscribed in a circle, the angles that are opposite each other are supplementary, their degree measures add up to 180 degrees. One can apply this here by using the sum of (<C) and (<A) to find the measure of the parameter (z). Then one can substitute in the value of (z) to find the measure of (<B). Finally, one can use the opposite angles in a quadrilateral theorem to find the measure of angle (<D) by using the sum of (<B) and (D).
Use the opposite angles in an inscribed quadrialteral theorem,
<A + <C = 180
Substitute,
14x - 7 + 8z = 180
Simplify,
22z - 7 = 180
Inverse operations,
22z = 187
z =
Simplify,
z =
Now substitute the value of (z) into the expression given for the measure of angle (<B)
<B = 10z
<B = 10()
Simplify,
<B = 85
Use the opposite angles in an inscribed quadrilateral theorem to find the measure of (<D)
<B + <D = 180
Substitute,
85 + <D = 180
Inverse operations,
<D = 95