21. <DBE and <ABE are both equal halves of <ABD, so in this case, m<ABE = m<DBE, so all you have to do is solve the equation:
6x + 2 = 8x - 14
add 14 to both sides, subtract 6x from both sides.
16 = 2x
Divide both sides by two. The solution is x = 8. To find m<ABE, replace x with 2, so your final answer is 14. m<ABE = 14
22. From what we know from 21, m<ABE = m<EBD, so keep that in mind. We still have to solve for m<EBD. Since one line is 180 degrees, we are able to write out this equation using the information given:
180 = 9x - 1 (m<ABE) + 9x - 1 (m<EBD) + 24x + 14 (m<DBC)
simplify this:
180 = 12 + 42x
subtract 12 from both sides, then divide by 42.
4 = x
Now we plug this in.
4 × 9 = 36. 36 - 1 = 35.
m<EBD = 35
23. From the past two equations, we know m<ABE consistently equals m<EBD. This means that, if they are bisectors of a right angle, they both equal 45 degrees. here is our equation:
45 = 13x - 7.
we add seven to both sides and divide by 13.
4 = x
Answer:
C. 30-60-90
Step-by-step explanation:
the ratio for a 3-6-9 triangle is x, 2x, x√3
if x=8, then 2x=16, and x√3 =8√3
it's not A because it is a right angle triangle.
it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer
Eg. d stands for the number of dimes, n stands for the number of nickels
a dime worth 10 cents, 1 nickel worth 5 cents
The equation for "There are 10 coins in a jar" is
d + n = 10
The equation for "The coins are worth a total of 70 cents" is
10d + 5n = 70
Answer:
25, 50, and 105.
Step-by-step explanation:
Let the first angle be A, the second angle be B, and the third angle be C.
First, the sum of the three angles in a triangle is 180. Thus:
We know that the measure of A is twice the measure of B. Thus:
And the measure of C is 80 more than the measure of B. So:
Let's substitute A and C into the original equation:
Now, let's solve for the second angle (B). Combine like terms:
Subtract 80 from both sides:
Divide both sides by 4:
So, the second angle is 25 degrees.
This means that the first angle is 2(25) or 50 degrees.
And the third angle is 80+25 or 105 degrees.
And we're done!
The angles are 25, 50, and 105.
55% were in the rest of the train. it says "d" though, so I can't tell you the exact number.
