Answer:
-13/2
Step-by-step explanation:
7(y+3)=5y+8
7y+21=5y+8
7y-5y+21=8
2y+21=8
2y=8-21
2y=-13
y=-13/2
Answer:
Im pretty sure it is c
Step-by-step explanation:
it gives us 2 angles add up to 180, but they are right next to each other. So we cant determine parallel lines.
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Answer:
Step-by-step explanation:
Since AC || DE, and ABC forms a triangle, we can deduce that ABC is a smaller triangle inside triangle DBE.
In the second step, we see that ∠CAB in the smaller triangle is congruent to ∠EDB in the larger one, due to the corresponding angles theorem. We also see that ∠ACB in the smaller triangle is congruent to ∠DEB in the larger one, again by the corresponding angles theorem.
This leads to the third step; since we have two of the angles in one triangle congruent to the corresponding angles in the other triangle, this means the third angle will be congruent (since all triangles equal 180°, and the first two angles are equal, the third must be equal as well). Two triangles in which all three angles of one triangle are congruent to the three angles of the other are similar triangles.
Since the triangles are similar, corresponding sides have the same ratio. This means that the ratio of AB to the larger side DB is the same as the ratio of CB to the larger side EB; this gives us
AB/DB = CB/EB.
Answer:
x = 5
Step-by-step explanation:
Given: f(x) = -3x + 19
1. Substitute f(x) = 4 into f(x) = -3x + 19:
⟹ 4 = -3x + 19
2. Add 3x to both sides:
4 + 3x = -3x + 3x + 19
⟹ 3x + 4 = 19
3. Subtract 4 from both sides:
3x + 4 - 4 = 19 - 4
⟹ 3x = 15
4. Divide both sides by 3:
3x ÷ 3 = 15 ÷ 3
⟹ x = 5
5. Check your work:
4 = -3x + 19
4 = -3(5) + 19
4 = -15 + 19
⟹ 4 = 4 ✔
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brainly.com/question/24278473
Answer:
The answer is 10
Step-by-step explanation:
The longer leg of this triangle is √3 times longer than the shorter leg. Since the longer leg is 5√3, then the shorter leg will be 5. The hypotenuse is twice the size of the shorter leg, so 5*2 is 10.