x = 3y - 1
2y + x = x + 18
2y + 3y - 1 = 3y - 1 + 18
5y - 1 = 3y + 17
2y = 18
y = 9
x = 3(9) - 1
x = 27 - 1
x = 26
Answer:
480 inches squared
Step-by-step explanation:
The formula for the area of a rhombus is pq/2, where p and q are the diagonals. In the picture, half of a diagonal is 10 (which I am assuming 10 does not represent the whole diagonal), so all of the horizontal diagonal is 20.
Applying the Pythagorean Theorem to this, we get 10^2 + x^2 = 26^2. After simplifying, this becomes 100 + x^2 = 676, and therefore x = 24. Multiply this by 2 to get the full vertical diagonal, the area is simply 48*20/2 which is 480 inches squared.
Find the equation of the line through <span>the points (–1, –5) and (4, 5). First, find the slope: m = rise / run = 5/10 = 1/2.
Then the equation is y-5=(1/2)(x-4). If (a,1) is on this line, (a,1) must satisfy the given equation. Let y=1 and solve for x:
1-5 = (1/2)(x-4) Mult both sides by 2 to get -2 = x-4. Then x = -4+2 = -2
So (-2,1) is also on the line.</span>
Answer:
m∠2 = 118, and m∠3 = 31
Step-by-step explanation:
The 2 opposite angles of a rhombus are equal.
Angle 1 and Angle 2 are opposite to each other. Since Angle 1 is 118, angle 2 is also 118.
Now looking at the bottom triangle in the rhombus, the two sides are equal (given by 2 lines). Hence, the 2 opposite angles are equal. Since we know 3 angles of a triangle add up to 180 degrees, we can write: (let angle 3 be x):
x + x + 118 = 180
2x = 180 - 118
2x = 62
x = 62/2
x = 31
So m∠2 = 118, and m∠3 = 31
Answer:
Please show us the picture i really want to answer.
