Answer:
Measure of ∠5 is 142°
Step-by-step explanation:
We are given that, Lines L and M are parallel.
As, the third line is intersecting both line L and M.
<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>
Since, the sum of the four angles formed by the third line and M is 360°.
So, we get,
∠1 + ∠6 + ∠7 + 38 = 360°
i.e. 2∠1 + 2×38° = 360°
i.e. 2∠1 = 360° - 76°
i.e. 2∠1 = 284°
i.e. ∠1 = 142°
Thus, ∠1 = ∠7 = 142°
Since, L and M are parallel.
So, ∠3 = ∠5 = 142°
Hence, we get that measure of ∠5 is 142°.
Answer:
4 gallons.
Step-by-step explanation:
Reading the top point on the graph we see that 48 gallons of white paint mix with 12 gallons of black Paint.
So 1 gallon of black paint is mixed with 48/12 = 4 gallons of white paint.
ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
<h3>What are Congruent Triangles?</h3>
Congruent triangles are triangles whose corresponding sides are congruent to each other.
The hypotenuse of triangle JKL(KL = 10) is congruent to a leg of triangle XYZ (YX = 10). This implies that they cannot be congruent triangles.
Therefore, ΔJKL and ΔXYZ CANNOT be congruent triangles because: the hypotenuse of one triangle is equal in length to the leg of the other triangle.
Learn more about congruent triangles on:
brainly.com/question/11457412
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