Answer:
w=14
Step-by-step explanation:
Let's solve your equation step-by-step.
710−35w=570−25w
Step 1: Simplify both sides of the equation.
710−35w=570−25w
710+−35w=570+−25w
−35w+710=−25w+570
Step 2: Add 25w to both sides.
−35w+710+25w=−25w+570+25w
−10w+710=570
Step 3: Subtract 710 from both sides.
−10w+710−710=570−710
−10w=−140
Step 4: Divide both sides by -10.
−10w
−10
=
−140
−10
w=14
If you cross multiply and the answers are the same.
2/5=4/10 because 5*4=20, and 10*2=20
Answer:
A
Step-by-step explanation:
The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.
Answer:
Step-by-step explanation:
96 = 2w²
48 = w²
√48 = w
√(16)(3) = w
± 4√3 = w
± 6.93
w = 6.93, -6.93
Answer:
Step-by-step explanation:
Each triangle is a right triangle, and all are congruent. So ...
90 -m∠CAB = (1/2)m∠CDA
90 -(4x +33) = (1/2)(12x +34)
57 -4x = 6x +17 . . . . . . . eliminate parentheses
40 = 10x . . . . . . . . . . . . .add 4x-17
4 = x
We also have ...
2m∠CAD = m∠BCD
2(3z +28) = 10z +28
6z +56 = 10z +28 . . . . . eliminate parentheses
28 = 4z . . . . . . . . . . . . . .subtract 6z+28
7 = z . . . . . . . . . . . . . . . . divide by 4
Since BC = CD ...
x = y = 4
The values of the three variables are ...
x = 4, y = 4, z = 7.
