Answer:
The measure of the fourth angle is 90°.
Step-by-step explanation:
Let x be the measure of the fourth angle.
Given measures of the other angles : 50°,120° & 100°.
<u>Knowledge Required </u>:
The sum of all the interior angles of a quadrilateral is 360°.
Then,
50°+120°+100°+x=360°
⇒x = 360°-270°
⇒x = 90°
.°. x = 90°
Hence, the measure of the fourth angle is 90°.
You can basically plug in the numbers for x and y into the options:
A. y/x = 3
12/4 = 3, so this one is right
B. xy = 3
12*4 = 48, so this is wrong
C. x = 3y
3*12 = 36, which is not x (4), so this is wrong
D. y = 3x
3*4 = 12, which is y (12), so this is right
So, A and D are right
Answer:
<h2>x = 64</h2>
Step-by-step explanation:
To find x we use tan
tan∅ = opposite / adjacent
From the question
The adjacent is x
The opposite is 30
So we have
tan 25° = 30/x
x tan 25 = 30
Divide both sides by tan 25
x = 30/tan 25
x = 64.34
x = 64 to the nearest tenth
Hope this helps you
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t
(0,0)(4,8)
slope = (8 - 0) / (4 - 0) = 8/4 = 2
and since it goes thru the origin, the y int is 0
so ur equation is : y = 2x <==
