9514 1404 393
Answer:
y = 12
Step-by-step explanation:
Triangles ABD and CBD are congruent, so DA = DC:
3y +6 = 5y -18
24 = 2y . . . . . . . . add 18-3y; next, divide by 2
12 = y
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<em>Additional comment</em>
In some variations of this question, you may be asked to solve for x. Since the angles are equal, you have ...
3x -1 = 34 -2x ⇒ 5x = 35 ⇒ x = 7 . . . (consistent with ∠ABC = 40°)
Answer:
2:5
Step-by-step explanation:
We can simplify the ratio 378 : 945 by dividing both terms by the greatest common factor (GCF).
The GCF of 378 and 945 is 189.
Divide both terms by 189.
378 ÷ 189 = 2
945 ÷ 189 = 5
Therefore:
378 : 945 = 2 : 5
Answer:
<u>The expression to describe this sequence is Aₙ = (n - 1) * 1 - 6</u>
Step-by-step explanation:
1. Let's write an expression to describe the sequence which first four terms are as follows:
- 6, -5, -4, - 3.....
Aₙ = (n - 1) * 1 - 6; A₁ = - 6
A₁ = (n - 1) * 1 - 6 = (1 - 1) * 1 - 6 = 0 * 1 - 6 ⇒A₁ = - 6
A₂ = (n - 1) * 1 - 6 = (2 - 1) * 1 - 6 = 1 * 1 - 6⇒ A₁ = - 5
A₃ = (n - 1) * 1 - 6 = (3 - 1) * 1 - 6 = 2 * 1 - 6⇒ A₁ = - 4
A₄ = (n - 1) * 1 - 6 = (4 - 1) * 1 - 6 = 3 * 1 - 6⇒ A₁ = - 3
A₅ = (n - 1) * 1 - 6 = (5 - 1) * 1 - 6 = 4 * 1 - 6⇒ A₁ = - 2
A₆ = (n - 1) * 1 - 6 = (6 - 1) * 1 - 6 = 5 * 1 - 6⇒ A₁ = - 1
A₇ = (n - 1) * 1 - 6 = (7 - 1) * 1 - 6 = 6 * 1 - 6⇒ A₁ = 0
Answer:
A
Step-by-step explanation:
i am pretty sure its A because on the top one their is one negative and all of the other one are positive.
