Answer:3x < 8x - 3
Step-by-step explanation:
Answer:
A, D, E
Step-by-step explanation:
Sorry for being late
9514 1404 393
Answer:
4 1 5 3 6 2
Step-by-step explanation:
The general approach to this proof is to show the triangles created by the diagonal are congruent. Then, parts of those triangles (opposite sides) are congruent. The congruence of the triangles is shown by making use of the fact that alternate interior angles are congruent, and the diagonal is congruent to itself. Thus, you have two angles and the side between shown as congruent, and can invoke the ASA postulate.
The steps of the proof (1 to 6) are already in order. The task is to find the geometric relation the step is describing from the list on the left.
__
Statements A to F on the left match with numbered statements 1 to 6 on the right as follows:
A - 4 (reflexive prop)
B - 1 (given)
C - 5 (ASA)
D - 3 (alt int angle)
E - 6 (the end point of the proof)
F - 2 (definition)
Answer:
C
Step-by-step explanation:
NQP is a triangle. It has 3 angles given.
We know
<em>sum of 3 angles in a triangle is 180 degrees</em>
<em />
We are Given:
∠N = 2x
∠Q = 2x + 2
∠P = 134
THus, we can write and solve for x first:
∠N + ∠Q + ∠P = 180
2x + 2x + 2 + 134 = 180
4x + 136 = 180
4x = 180 - 136
4x = 44
x = 44/4
x = 11
Now, measure of ∠NQP is 2x + 2, so substituting the value of "x", we have:
2x + 2 = 2(11) + 2 = 22 + 2 = 24 degrees
So,
∠NQP = 24°
Correct answer is C
Answer:
1194 students last year
Step-by-step explanation:
The problem statement tells us ...
98% × (students last year) = 1170
Dividing by 98%, we get ...
1170/0.98 = (students last year) = 1193.88 ≈ 1194
___
<em>Check</em>
1170/1194 = 0.979899... ≈ 0.98 = 98%
