Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
Answer:
The y-coordinate of their intersection point is 3
That is y=3
Step-by-step explanation:
Given two lines are y=6x+15 and y=mx+4
Given that the two lines intersect at x=-2
To find the y coordinate of their intersection point :
Equating the two lines
6x+15=mx+4
6x+15-mx-4=0
6x-mx+11=0
(6-m)x+11=0
At x=-2 (6-m)x+11=0
(6-m)(-2)+11=0
(6-m)(-2)=-11





Substitute the value
in y=mx+4 we get

At x=-2 


Therefore y=3
Therefore the y-coordinate of their intersection point is 3
Answer: the angles do not have the same reference angle.
Step-by-step explanation:
Answer:
The answer to your question is $36
Step-by-step explanation:
Data
Total money = $50
2 gallons of milk = $3
a loaf of bread = $2
a dozen of eggs = $3
Write an equation to solve this problem
Cost of 2 gallons of milk + a loaf of bread + 3 dozens of eggs + remainder = total cost
Substitution
$3 + $2 + 3($3) + remainder = $50
Simplification
3 + 2 + 9 + remainder = 50
remainder = 50 - 3 - 2 - 9
result
remainder = $36
You can multiply the number of laps each person ran by the yards in each lap and then add them together:
440 + 2(440) + 3(440) + 4(440)
= 440 + 880 + 1,320 + 1,760
= 4,440 yards
Or you can add the laps first, then multiply by the yards in each lap
(1 + 2 + 3 + 4)(440)
= 10 x 440
= 4,400 yards