Answer:
x = 60
Step-by-step explanation:
We have, 45% • x = 27
or,
45
/100 • x = 27
Multiplying both sides by 100 and dividing both sides by 45,
we have x = 27 • 100/
45
x = 60
In order to determine the number of pens present in the container, we need to set up equations from the given in the problem statement. We do as follows:
let x the number of pencils
y the number of pens
From the statement, 9 more pencils then pens in a container,
x = y + 9
From the statement, there are 25 writing utensils in the container in all,
x + y = 25
We use substitution method to calculate for x and y,
y + 9 + y = 25
2y = 16
y = 8
x = 17
Therefore, there are 8 pens in the container and 17 pencils.
Answer:
lineHO parallel lineEN - Given
lineHW = lineNW - Given
angle HWO <u>congruent</u> angle EWN Vertical Angles
angle OHW <u>congruent</u> angle ENW Alternate interior angles
Thus triangle HOW congruent triangle NEW
[wouldn't let me use symbols sorry]