Answer:
x = 5 ; z = 70
Step-by-step explanation:
Vertical angles have the same degree measure
(13x + 45) = 110
13x + 45 = 110
-45 -45
13x = 65
/13 /13
x = 5
Complementary angles add up to 180°
110 + z = 180
-110 -110
z = 70
Parallel,
That chart probably relates to a transversal line you have above it with the numbers on the 3 lines. When it says "Parallel lines" it means what lines are parallel between the two given numbers. Example: Question a) is saying
Angle 10 is congruent to Angle 15, therefore what two lines that they're on or next to are parallel. In many cases, it would be the ones that they're on.
Converse,
The "Converse" is also known as "Alternate Interior Angles". Meaning angles that are on the same side of the transversal and are inside of it. Example: On the bottom of your page (near question 2) the angles 4 and 5 are transversals and so is 3 and 6. So just write down the converse of each given value or angle.
Hope this helped!
So 50 per week+3 times number of sales
represent s as number of sales
pay=50+3s
if you want pay to be at least 110 or pay<u><</u>110 so
110<u>></u>pay=50+3s
110<u>></u>50+3s
treat as regular equation: do the saem to both sides so it will stay equal
also isolate the s term
110<u>></u>50+3s
subtract 50 from both sides
60<u>></u>3s
divide both sides by 3
20<u>></u>s
you must make at least 20 sales
Let’s find the area of the rectangular cake and the square pieces.
I’m going to turn the fractions into decimals since it’s easier for me.
13.5•9
121.5
Now find the area of the square pieces.
2.25•2.25
5.0625
Now divide the area of the cake by the pieces to find how many can fit.
121.5/5.0625
24
So, 24 square pieces can be cut out of the rectangular cake.
Answer:
Correct answer: (x-√2)² + (y-√5)² = 3
Step-by-step explanation:
Given data: Center (x,y) = (√2,√5) and r = √3
The canonical or cartesian form of the equation of the circle is:
( x-p )² + ( y-q )² = r²
Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.
God is with you!!!
