The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
In Δ XYZ
∵ ∠ YXZ is a right angle
∴ The hypotenuse is YZ
∵ The adjacent side to ∠XYZ is XY
∵ The opposite side to ∠XYZ is XZ
∵ YX = 12 units
∵ XZ = 10 units
- Use tan ratio to find the measure of the angle because you
have the adjacent and opposite sides of the angle XYZ
∵ m∠XYZ is x
∵ 
∴ 
- To find x use the inverse of tan(x)
∵ 
∴ x = 39.8°
∴ m∠XYZ = 39.81°
The best approximation for the measure of angle XYZ is 39.8°
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You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
y = (3/4)x
Step-by-step explanation:
1) Find the slope of the line. As we go from ( -8,-6) to (12,9), x increases by 20 and y increases by 15. Thus, the slope, m, is m = rise / run = 15/20 = 3/4
2) Recognize that the y-intercept is zero (0) because this is direct variation; the line goes thru the origin.
3) write the equation of the line: y = mx + b becomes y = (3/4)x
Answer:
1 Chair= $1.25 1 table= $8.25
Step-by-step explanation:
5c+3t=31
2c+6t= 52
-2(5c+3t=31)
-10c-6t=-62
+
2c+6t=52
= -8c=-10
/-8 /-8
c= 1.25 or 1 1/4
2c+6t=52
2(1.25)+6t=52
2.5+6t=52
-2.5 -2.5
6t= 49.5
/6 /6
t= 8 1/4
Answer:
<h3>Step 4</h3>
Step-by-step explanation:
Given the expression 7+(-2)
Let 7 be 7 positive tiles since it is a positive number
Let -2 be 2 negative tiles being a negative number
7+(-2) = 7 positive tiles <em>and</em> 2 negative tiles
note that + * - will give minus sigh (-), the expression will become:
7+(-2) = 7-2
7-2 = 5
Hence the expression gives 5 positive tiles not 2 positive tiles according to Jillian calculations in step 4.
Hence Jillian made an error in step 4
<span> The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R? Q(5, 6) and R(−5, −6) Q(−5, −6) and R(5, 6) Q(−5, 6) and R(5, −6) Q(5, −6) and R(−5, 6). </span><span>
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