Answer:
Jill made an error when writing the factored expression.
Slope= -5/3 when using y^2-y^1 divided by x^2-x^1
Answer:
Step-by-step explanation:
61)4 + 5(p-1) = 34 {Distributive property}
4 + 5p - 5 = 34 {Add like terms}
5p - 1 = 34 {Add 1 to both sides}
5p = 34+1
5p = 35 {Divide both sides by 5)
p = 35/5
p = 5
62) Smaller angle = x
Larger angle = x +50
x + (x +50) = 180 {Supplementary angles}
2x + 50 = 180 {Subtract 50 from both sides}
2x = 180 -50
2x = 130
x = 130/2
x = 65
Smaller angle = 65
Larger angle = 65 + 50 = 115
63) ΔBAD , ΔBCD
BA ≅ BC
∠A ≅ ∠C
AD ≅ CD
ΔBAD ≅ΔBCD {S A S congruent}
64) Selling price = ₹ 5500
Profit = 10%
Answer:
16.5 ≈ x
Step-by-step explanation:
We have a right triangle where we know 1 side, 1 angle and we need to find another side. We can use trigonometric functions to find the missing side.
The tangent function definition is
tan α = opposite side/ adjacent side
In our problem
tan 70° = x/ 6, multiply both sides by 6 to isolate x
6 · tan 70° = x, use the calculator (make sure is set in degrees)
16.4848 ≈ x , round to the nearest tenths
16.5 ≈ x
There are 18 students in Grade 7, 10 are in band, so 10/18 = 0.56 are in band.
There are 12 students in Grade 8, 10 are in band, so 10/12 = 0.83 are in band.
Students in Grade 8 are more likely to be members of the band.
