Answer:
<em>The answer is (B)</em>
Step-by-step explanation:
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1 answer:
Answer:
m <1 = 61
Step-by-step explanation:
We know that the angle adjacent to 130 is 50 degrees because linear angles are complementary.
Extending line t to make a triangle, we can find the angle adjacent to the angle labeled 111 ( and above it) is 69.
That makes the angle that touches line q 61 to finish the triangle
This angle and angle 1 are corresponding angles, so they are equal
<1 = 61
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Answer:
Step-by-step explanation:
1) ΔCPD & ΔEPF
∠CPD = ∠EPF { Vertically opposite angles}
∠CDP = ∠PFE {CD║EF, FD is transversal, Alternate interior angles are equal}
ΔCPD ≈ΔEPF {AA criteria for similarity }
Cross multiply
EF * 15 = 27 * 7.5
EF = 27 * 0.5
EF = 13.5 cm
ii) EF // AB, so Triangles ACB & ECF are similar triangles
AC = 37.5 cm
Answer:
Step-by-step explanation:
Refer to the attached image.
A right triangle is considered so when one of its corners are 90°.
If sides a and b are equal in length, then the corners across from them are equal in size as well.
The only way for this to be possible is if both corners A and B(opposite of sides a and b) are 45°.
Pythagorean theorem
This theorem states that the square of a right triangle's long side is equal to the sum of the squares of the shorter sides.
In this case:
but since:
the equation can be solved by replacing a with b in the equation:
