Answer:
y = 8
x = 21
Step-by-step explanation:
Find x first. Since there is a straight line, we can conclude it's equal to 180 degrees.
11x + 10 -61 = 180
Add 10 to negative 61.
11x - 51 = 180
Add 51 to both sides.
11x = 231
Divide 11 both sides
x = 21.
Now put x in the equations to solve.
This is for the small angle on the right side.
(21+10) = 31
This is for the big angle on the right side.
(10(21) - 61)
210 - 61 = 149.
Now for the other side, we know the degree for the smaller side on the left side since it's a vertical angle.
31 degrees for top left angle. Since we know this side is 180 just subtract 31 from 180 and you'll get 149.
18y + 5 = 149
Subtract 5 both sides.
18y = 144
y = 8.
Well since it gives you 2 gas stations it wants you to compare prices
Als gas station will be A
At-one will be B
since station A has $3.259/ gallon I assume
and B has $3.199/ gallon
just subtract them
so 3.259 -3.199 = 0.06
gas is less at station B noticeably costs less so thats your first answer
for the next one if you bought gallon of gas at the cheaper station you'd be saving $0.06/gallon since we got the difference from subtracting them.
Answer:
The weekly sales must be $12,600
Step-by-step explanation:
if their pay is the same, the equations have to be equal
amelia = jayden
185 +.095x = 311 +.085x
subtract .085x from each side
185 +.095x-.085x = 311 +.085x-.085x
185+.01x = 311
subtract 185 from each side
185-185+.01x = 311-185
.01x = 126
divide by .01
.01x/.01 = 126/.01
x = 12600
- To divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment.
- These perpendicular bisectors intersect and divide each triangle into three regions.
- The points in each region are those closest to the vertex in that <u>region</u>.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>What is a line segment?</h3>
A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.
<h3>What is a
perpendicular bisector?</h3>
A perpendicular bisector can be defined as a type of line that bisects (divides) a line segment exactly into two (2) halves and forms an angle of 90 degrees at the point of intersection.
In this scenario, we can reasonably infer that to divide the triangles into these regions, you should construct the <u>perpendicular bisector</u> of each segment. These perpendicular bisectors intersect and divide each triangle into three regions. The points in each region are those closest to the vertex in that <u>region</u>.
Read more on perpendicular bisectors here: brainly.com/question/27948960
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