Answer:
The answer is A, the measure of angle Z is 45°.
Step-by-step explanation: According to base angle theorem for iscoscles triangles, the base angles must be the same angle measure if the sides opposite to them are congruent. Since it is an iscoceles triangle, they are automatically congruent. This means that Y is 90 degrees. This fits into triangle sum theorem because if Z is 45 degrees, than x is also 45 degrees making a viable triangle. This means that this is the only one that actually applies. B is wrong because of triangle sum theorem, C is wrong because of triangle sum theorem, and D is wrong because of the SSS postulate and CPCTC.
Answer:
x = 2, y = 6
Step-by-step explanation:
Δ WXY is equilateral ( 3 congruent angles ), then the sides are equal
WY = WX , that is
y - 1 = 5 ( add 1 to both sides )
y = 6
Δ WYZ is isosceles ( 2 congruent base angles ) then the legs are congruent
YZ = WY , that is
x + 3 = 5 ( subtract 3 from both sides )
x = 2
Answer:
$49
Step-by-step explanation:
<u><em>Method 1</em></u><u><em>:</em></u>
100% - 65% = 35%
y · 100 = 35 · 140
100y = 4900
100y ÷ 100 = 4900 ÷ 100
y = 49
<u><em>Method 2</em></u><u><em>:</em></u>
y · 100 = 65 · 140
100y = 9100
100y ÷ 100 = 9100 ÷ 100
y = 91
$140 - $91 = $49
Answer:
4
Step-by-step explanation:
x4−y4/x−y
=
x4−y4/x−y
92 miles / 4 gallons = 23 miles per gallon
