9514 1404 393
Answer:
x = 2 m
y = 30°
Step-by-step explanation:
The side lengths of ΔDEF are 3/9 = 1/3 of those of ΔABC.
x = DF = 1/3(AB) = (1/3)(6 m)
x = 2 m
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Angle measures of ΔDEF are the same as those of the corresponding angles of ΔABC.
y = ∠B = ∠E = 30°
y = 30°
Answer:
You've got to use the clues on the side to help figure out the answers for each square
0.61 repeated will be the answer
<u>The sum</u> of <u>the measures</u> of all <u>interior angles</u> in a <u>quadrilateral</u> is always equal to 360°.
If m∠R = (2x)°, m∠S = (3x – 35)° and m∠T = (x + 35)°, then the measure of the angle U is
m∠U=360°-(2x)°-(3x-35)°-(x+35)°=360°-(2x)°-(3x)°+35°-x°-35°=360°-(6x)°.
If quadrilateral RSTU is parallelogram, then
- m∠R=m∠T;
- m∠S=m∠U;
- m∠R+m∠S=m∠S+m∠T=180°.
Check this conditions: 2x=x+35 ⇒ x=35°.
If x=35°, then
- m∠R=(2·35)°=70°;
- m∠S=(3·35-35)°=70°;
- m∠T=(35+35)°=70°;
- m∠U=360°-(6·35)°=150°.
You get quadrilateral RSTU that cannot be parallelogram, because 70°+70°≠180°.
Answer: strictly correct choice is D (also choice C is correct)
X/4 + x/5 = 1
5x/20 + 4x/20=1
9x/20 =1
9x = 20
x = 2.22 hours
