(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
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Answer:
3x - 6
Step-by-step explanation:
To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)
f(2x) = 3(2x) - 2 = 6x - 2
f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4
Thus
f(2x) - f(x + 2)
= 6x - 2 - (3x + 4)
= 6x - 2 - 3x - 4
= 3x - 6
Answer:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that
Answer:
1. Translate circle A using the rule (x − 3, y + 4).
4. Dilate circle A by a scale factor of 5
Step-by-step explanation:
we know that
All circles are similar figures
step 1
Translate the center of circle A to the center of circle B
we have
A(2,8) -----> B(5,4)
so
The rule of the translation is
(x,y) ----> (x+a,y+b)
(2,8) ----> (2+a,8+b)
2+a=5 ----> a=5-2=3
8+b=4 ---> b=4-8=-4
therefore
The rule of the translation is
(x,y) ----> (x+3,y-4)
step 2
Divide the radius of circle B to the radius of circle A to find out the scale factor
10/2=5
so
Multiply the radius of circle A by the scale factor to obtain the radius of circle B
therefore
Dilate circle A by a scale factor of 5
Answer:
D
Step-by-step explanation:
you have to multiply .79 to both a and 1.2. A is wrong because it's saying we need to multiply .79 to 1.2lb. which is the weight of oranges and the total cost of apples and oranges which is 6.27.
