We know that
applying the law of sines
a/sin A=b/sin B---------> a*sin B=b*sin A
<span>A = 80°, a = 24, b = 50
sin B=[b*sin A]/a-----> sin B=50*sin 80/24-----> sin B=2.0517
the sines value </span><span>can not be greater than 1
hence
the answer is
zero triangles</span>
Answer:
The measure of the angle JKG is:
m∠JKG = 56°
Step-by-step explanation:
<u>Given</u>
m∠JKG = 76-2x
m∠FHK = 6x-4
J is a midpoint of the segment FG and K is a midpoint of the segment GH.
<u>To determine</u>
m∠JKG = ?
Given that J is a midpoint of the segment FG and K is a midpoint of the segment GH. Thus, making two similar triangles, ΔJGK and ΔFGH
We know that two triangles are similar if the only difference is size. So, the angles remain the same.
so m∠JKG and m∠FHK are equal.
i.e.
m∠JKG = m∠FHK
substitute m∠JKG = 76-2x and m∠FHK = 6x-4
76-2x = 6x-4
6x+2x = 76 + 4
8x = 80
divide both sides by 8
8x/8 = 80/8
x = 10
Therefore, the value of x = 10
As
m∠JKG = 76-2x
substitute x = 10
m∠JKG = 76 - 2(10)
= 76 - 20
= 56°
Therefore, measure of the angle JKG is:
m∠JKG = 56°
Answer:
No
Step-by-step explanation:
There needs to be one dot on 3, one dot on 4, two dots on 5, and two dots on 6.
Step-by-step explanation:
1.5 mi = 2 and 1/4 min
In 43 minutes:
43 ÷ 2.15 = 20 2.15 = 2 and 1/4 min
Now you have to multiply 1.5 by 20
1.5 x 20 = 30
In 1 hour (60 minutes):
60 ÷ 2.15 = 27.9
Now you have to multiply 1.5 by 27.9
1.5 x 27.9 = 41.85
Hope this was helpful :)
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