Answers:
A) SAS
B) ASA
E) LL
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Explanation:
Let's go through each possible answer choice
A. We can use SAS because we know that AC = XZ (horizontal sides) is one pair of congruent sides, the angle pairing is C = Z, and the other pair of sides is BC = YZ (vertical sides)
B. We can also use ASA. Note how A = X is one pair of angles, AC = XZ is the middle pair of sides, and C = Z is the second pair of angles. The side is between the angles.
C. We can't use SSS as we don't know AB = XY is true or not. There are no tick marks indicating congruence.
D. We can't use LA here because we don't know the altitudes (LA = leg altitude)
E. We can use LL here because we have two right triangles. The two pairs of legs (AC = XZ and BC = YZ) are congruent based on the tickmarks.
F. We can't use HL similar to the reasoning for choice C. We don't know the hypotenuses are congruent or not. If we knew that AB = XY, then we could use HL (hypotenuse leg).
Answer:
x ≤ 100
Step-by-step explanation:
0.3x ≤ 30
x = 100 --- divide both sides by 0.3
Answer:
30
Step-by-step explanation:
3mn=3x5x2=30
Answer: the number of students that were surveyed is 40
Step-by-step explanation:
Let x = total number of students that were surveyed about their favorite colors
1/4 of the students preferred red.
This means that the number of students that preferred red is 1/4 × x = x/4
1/8 of the students preferred blue.
This means that the number of students that preferred blue is 1/8 × x = x/8
The remaining number of students will be the total number of students - the sum of the number of students that preferred red and the number of students that preferred blue. It becomes
x - (x/4 + x/8) = x - 3x/8 = 5x/8
3/5 of the remaining students were for green. This means that the number of students that preferred green is 3/5 × 5x/8 = 3x/8
if 15 students prefer green, then
3x/8 = 15
3x = 120
x = 120/3 = 40 students
Answer:
I AM NOT ABLE TO GIVE THE ANSWER OF THIS QUESTION
