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kirill115 [55]
3 years ago
7

trying to find the measure of the numbered angle? can someone please help me with these!:) thank you!!!!

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0
1 = 50
2 = 90, 3 = 60
4 & 5 = 60
6 = 60
7 = 100
Likurg_2 [28]3 years ago
3 0

As Sum of the Three Angles in a Triangle = 180°

We can write as :

Angle (1) + 40° + 90° = 180°

Angle (1) + 130° = 180°

Angle (1) = 180° - 130°

Angle (1) = 50°

As Angle (2) and 90° are Vertically opposite Angles :

Angle (2) should be Equal to 90°

Angle (2) = 90°

Angle (2) + Angle (3) + 30° = 180°

90° + Angle (3) = 30° = 180°

Angle(3) + 120° = 180°

Angle(3) = 180° - 120°

Angle(3) = 60°

As Angle (3) and Angle(4) are Vertically opposite Angles :

Angle (4) should be Equal to Angle(3)

Angle (4) = 60°

Angle(4) + Angle(5) + 60° = 180°

60° + Angle(5) + 60° = 180°

Angle(5) + 120° = 180°

Angle(5) = 180° - 120°

Angle(5) = 60°

As Angle (5) and Angle(6) are Vertically opposite Angles :

Angle (6) should be Equal to Angle(5)

Angle (6) = 60°

Angle(6) + Angle(7) + 20° = 180°

60° + Angle(7) + 20° = 180°

Angle(7) + 80° = 180°

Angle(7) = 180° - 80°

Angle(7) = 100°

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find the number of terms in an AP given that its first and last terms are 13 and - 23 respectively and that its common differenc
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Answer:

<u>There are 17 terms in the sequence</u>

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<u>Arithmetic Sequence </u>

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Where an is the nth term, a1 is the first term, and r is the common difference.

In the problem at hand, we are given the first term a1=13, the last term an=-23, and the common difference r=-2 1/4. Let's solve the equation for n:

\displaystyle n=1+\frac{a_n-a_1}{r}

We need to express r as an improper or proper fraction:

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