Answer:
m∠CBD=68°
Step-by-step explanation:
BA is perpendicular to BD, meaning they form a right angle (90°)
This means m∠CBD + m∠ABC=90, or they are supplementary.
We have expressions given for these angles, so
4x+52+8x-10=90
12x+42=90
12x=48
x=4
Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.
4(4)+52=68
m∠CBD is 68°.
Each column is a digit, and the top two beads each represent 5 and the bottom 5 beads each represent 1. To read it, you add up the values of the "top" beads that are dropped down and the "bottom" beads that are raised up, and you read the number left to right.
The answer is 148.8
120 · 24 = 120 · 0.24 = 28.8
120 = 28.8 = 148.8
Answer:
120º
Step-by-step explanation:
All of the interior angles of a triangle have to add up to 180º, so the missing interior angle is 60 degrees once you add 24 and 96 and subtract the sum of 120 from 180.
As for the missing angle, it's supplementary with the interior one that was originally unknown. Subtract 60 from 180, and that will give you 120º.
Pick a number. Any number. Call it 'x'.
Multiply 'x' by 4.
Add 10 to the product.
Call the current number 'y'.
The 'x' and 'y' that you have now are an 'answer' to that equation.
Do it as many times as you like. There are an infinite number of them.