Answer:
m<2 = 70degrees
m<3 = 70degrees
m<4 = 110degrees
m<5 = 110degrees
m<6 = 70degrees
m<7 = 70degrees
m<8 = 110degrees
Step-by-step explanation:
A line has the angles of 180 degrees so if m<1 is 110 then m<2 must be 70degrees. Then m<4 is opposite side of m<1 so it has to be the same number of degrees and the same for m<3 is the opposite side of m<2.
You repeat the process with 5678
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°
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
The jeweler made 9 necklaces.
The jeweler made 8 bracelets.
Step-by-step explanation:
x = number of bracelets
y = number of necklaces
17 = x + y
238 = 5x + 22y
Make one of the coefficients, x, the same.
17 = x + y
Multiply this equation by 5.
85 = 5x + 5y
Subtract the equations to get rid of x.
(238 = 5x + 22y) - (85 = 5x + 5y)
(5x - 5x) + (22y - 5y) = 238 - 85
22y - 5y = 238 - 85
17y = 153
y = 153/17 = 9
The jeweler made 9 necklaces. Substitute this back into one of the equations to find x.
17 = x + y
17 = x + 9
17 - 9 = x
x = 8
238 = 5x + 22y
238 = 5x + 22(9)
238 = 5x + 198
238 - 198 = 5x
40 = 5x
x = 40/5
x = 8
The jeweler made 8 bracelets.
Answer:
Step-by-step explanation:
Answer choice C would be correct since both sides are increasing at a set rate, x is increasing by one while y is increasing by 2 every time. Hope this helps :)
Answer: Stratified sampling
Step-by-step explanation:
Stratified sampling is a random sampling method in which the population is divided into non-coinciding groups are called strata and a sample is picked out by some design within each stratum.
Given: A researcher wants to survey people from different age groups to analyze voting patterns.
Thus he will make different groups according to different ages to analyze voting patterns that are called stratum.
Thus, Stratified sampling best accomplish this goal.
