In the diagram shown, line mm is parallel to line nn. Cruz says that ∠4∠4 and ∠6∠6 are congruent angles. Is he correct? Why or w
hy not?
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.
a) Yes, because they are both obtuse angles
b)Yes, because ∠4∠4 and ∠7∠7 are congruent corresponding angles, and ∠6∠6 and ∠7∠7 are vertical angles.
c)No, because ∠4∠4 and ∠6∠6 are not right angles.
d)No, because ∠4∠4 and ∠5∠5 are not congruent, and ∠5∠5 and ∠6∠6 are not congruent.
2 answers:
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Answer:
Step-by-step explanation:
Factor each half of the expression separately:
Since both 4k² and 7 are being multiplied by (7k-6), we can combine them to get:
Answer:
2.5477 feet
Step-by-step explanation:
Refer the image attached to understand my solution.
BC = height of lamppost.
DE = Julia
AD = shadow of Julia
BD = 2 feet. AD = 5 feet
BA = BD + AD
= 2 + 5 = 7 feet
In ΔABC
tan 20° =
BC = 7 * tan 20°
BC = 2.5477 feet
SO the height of lamppost = 2.5477 feet
