Answer:

Step-by-step explanation:
<h3><u>Given that:</u></h3>
Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
<h3><u>Statement:</u></h3>
- Exterior angle is equal to the sum of non-adjacent interior angles.
So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
<h3><u>Measure of angle M:</u></h3>
= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
<h3><u>Measure of angle L:</u></h3>
<u>We know that,</u>
- Sum of all the interior angles of triangle is 180 degrees.
L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
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The area of the kite in the picture is 5m
Answer:
umm your funny if u think im going to answer that im sorry but my brain is not working rn i prolly should go take a nap
Step-by-step explanation:
If you see a zero in the end of a number it might be counting on by ten, the hint is most likely the zero. Let's say you had a question like: 10_30. If you see the zero, you can make sense out of it and try the tens times table. So add ten to 10 and bam! You found your answer
We are given : Jayden and Ava share a reward of $35 in a ratio of 2 : 3.
Total amount is $35.
We need to divide it in 2:3 ratio.
2:3 ratio represents 2 parts for Jayden and 3 parts for Ava of the total $35.
2 and 3 make total 5 part.
5 parts make $35.
1 part = 35/5 = $7.
Jayden should have 2 parts = 2* 7 = $14.
Ava should have 3 parts = 3 * 7 = $21.
Ava got total $21.
<em>Now, we need to check $21 is what fraction of the total $35.</em>
21/35 can be reduced into fraction 3/5.
<h3>Therefore, Ava get 3/5 of the $35.</h3>