Answer:
ABD = CDB
AB is parallel to DC
Step-by-step explanation:
angle a and c are right angles so they are equal and angle b and d are equal because they have a line that touch both letters
AB and DC are parellel because they are the same looking lines just on oppisite sides
The statement at the top says that the triangles are 'similar'. That means that the corresponding angles are equal, and each pair of corresponding sides have the same ratio. From the 4 and the 8, you can see that each side in the small one is 1/2 the length of the corresponding side in the big one. So the missing sides are 1/2 the length of the 7 and the 12.
Answer:
y = 5√2/2
x = 5
Step-by-step explanation:
First find y using the tan method: opposite/adjacent
tan(45) = 5√2/2 ÷ y
y = 5√2/2 ÷ tan(45)
y = 5√2/2
Then find x using the pythagoris theorem: c^2 = a^2 + b^2
x = √ (5√2/2)^2 + (5√2/2)^2
x = 5
The first step for solving this problem is to write 19p as a sum.
p² + 15p + 4p + 60
Factor out p from the expression.
p × (p + 15) + 4p + 60
Now factor out 4 from the expression.
p × (p + 15) + 4(p + 15)
Lastly,, factor out p + 15 from the expression to find your final answer.
(p + 4) × (p + 15)
This means that the correct answer to your question is (p + 4) × (p + 15),, or option A.
Let me know if you have any further questions.
:)
