What is the estimate of 92 times 68
1 answer:
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Answer:
The value of x is 0.5
The value of y is 0.8
The value of z is 0.9
Step-by-step explanation:
* Lets explain how to find the values of x , y and z
- <u><em>From the attached figure</em></u>
# and
intersect each other at a point
- When two lines intersect each other at a point they formed
congruent vertical opposite angles
∴ The angle of measure (50z + 13)° = the angle of measure (80z - 14)°
because thy are vertical opposite angles
∴ 50z + 13 = 80z - 14
- Add 14 to both sides
∴ 50z + 27 = 80z
- Subtract 50z from both sides
∴ 27 = 30z
- Divide both sides by 30
∴
* The value of z is 0.9
- <u><em>From the attached figure</em></u>
# The angles of measures (50z + 13)° and (45x + 19/2)° have sum
of 90°
∴ 50z + 13 + 45x + 19/2 = 90
∵ z = 0.9
∴ 50(0.9) + 13 + 45x + 19/2 = 90
∴ 45 + 13 + 45x + 9.5 = 90
- Add like term in the left hand side
∴ 67.5 + 45x = 90
- Subtract 67.5 from both sides
∴ 45x = 22.5
- Divide both sides by 45
∴ x = 0.5
* The value of x is 0.5
- <u><em>From the attached figure</em></u>
# There is a ray perpendicular to line
∴ The measure of the angle whose measure (225y/2)° is 90°
∴
- Multiply both sides by 2
∴ 225y = 180
- Divide both sides by 225
∴
* The value of y is 0.8
In order of blank boxes going from left to right then down will be 1, 9, 5, 75, 35.
The missing table is given below.
<h3>What are ratio and proportion?</h3>A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Shawn is collecting money from students at his school for a charity.
The table gives the ratios of the number of students who have donated and the amount of money he has collected from them.
Since 30 is 1/3 of 90, we know the ratio is 1:3.
In order of blank boxes going from left to right then down
1, 9, 5, 75, 35
The complete table is attached below.
More about the ratio and the proportion link is given below.
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