11. is 25°
(Both triangles have two congruent angles which means the 3rd angle is bound to be the same. Just add the 90° and the 65° to get 155 and subtract from 180° because all triangles equal 180°)
12. is 25°
(Same as before, two of the angles are congruent so the third one is the same. Add all of the angles together and have them equal 180° because their is a variable present. 2x+60+70=180 or 2x+130=180. subtract 130 from both sides to get the equation 2x=50 and then divide both sides by 2 to get x=25.)
13. y=14 and x=11.6 (assuming m<d says 15x ÷ 2 because I couldn't really read it)
(m<a = m<d and m<b = m<e because they are lined up together in the ABC and DEF equation. so 3y=42 and (15x÷2=87)
Hope it helps to solve it
3/4 × 20 = 5/6y
60/4 = 5/6y
360 = 30y
y = 12
Answer:
1 gamma = 15/8 alphas
Step-by-step explanation:
so we start by finding out what 1 gamma and 1 beta equals.
we know 4 gammas = 5 betas so if we divide by four on both sides we get:
1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas
we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas
therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas
Answer:
Step-by-step explanation:
slope of required line=5
point is (-1,0)
reqd. eq. of line is
y-0=5(x-(-1))
y=5(x+1)
y=5x+5