From the computation done, the total kilometers that he uses last month will be 262.8 kilometers.
The total length of a trip to and from work is 14.6 kilometers and last month, Jeremiah worked 18 days.
Therefore, the kilometers that he rode his bike to and from work last month will be;
= 14.6 × 18.
= 262.8 kilometers.
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Answer:
Step-by-step explanation:
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Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Answer:
The correct options are;
D. Triangles ABC and A'B'C' are congruent
E. Angle ABC is congruent to angle A'B'C'
F. Segment BC is congruent to segment B'C'
H. Segment AQ is congruent to segment A'Q'
Step-by-step explanation:
The given information are;
The angle of rotation of triangle ABC = 60°
Therefore, given that a rotation of a geometric figure about a point on the coordinate plane is a form of rigid transformation, we have;
1) The length of the sides of the figure of the preimage and the image are congruent
Therefore;
BC ≅ B'C'
2) The angles formed by the sides of the preimage are congruent to the angles formed by the corresponding sides of the image
Therefore;
∠ABC ≅ ∠A'B'C'
3) The distances of the points on the figure of the preimage from the coordinates of the point of rotation are equal to the distances of the points on the figure of the image from the coordinates of the point of rotation
Therefore;
Segment AQ ≅ A'Q'.
Answer:
A) Lexi is 15 and Tanner is 18
B) Enrique has 24 magnets and Peter has 88 magnets
Step-by-step explanation:
1.
t = 3 + l
t + l = 33
substitute:
(t) + l = 33
(3 + l) + l = 33
3 + 2l = 33
-3 -3
2l = 30
/2 /2
l = 15
Lexi is 15
solve for t:
t + 15 = 33
-15 -15
t = 18
Tanner is 18
2.
e = p - 64
e + p = 112
substitute
(e) + p = 112
(p - 64) + p = 112
2p - 64 = 112
+ 64 +64
2p = 176
/2 /2
p = 88
Peter has 88 magnets
e + (p) = 112
e + 88 = 112
- 88 - 88
e = 24
Enrique has 24 magnets
