twice the sum of a number and 8 is equal to 3 times the difference of the number and 7 find the number
1 answer:
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Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
=
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
=
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.
The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8
<h3>How to identify angle theorems?</h3>
A) From the attached image, the side roads resemble 2 parallel lines cut by a transversal.
Now, if we consider the roads to be very fat lines, then it means that the main road is the transversal while the two side roads are parallel to each other.
B) Vertical angles are defined as angles that are opposite of each other The vertical angles from the attached image will be; 1 and 4; 2 and 3; 5 and 8; 6 and 7.
The Linear pair angles would be: 1 and 3; 2 and 4; 5 and 7; 6 and 8; 1 and 2; 3 and 4; 5 and 6; 7 and 8when two lines cross
The supplementary angles would be: 3 and 5; 4 and 6
C) If a fourth road is constructed, it will be perpendicular to the main road, or perpendicular to the two side roads, and it will form a right triangle.
Thus, the acute angles of the triangles will be complementary because their sum will be 90°
Read more about Angle Theorems at; brainly.com/question/24839702
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