Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
1. 6a-2b+4
2. 3a-3b+9
3. -2x-8=-10
-2x=-2
X=1
4. -x+4=5
-x=1
X=-1
Answer:
It travels for 1 hour, then stops for 1 hour, and finally travels again for 3 hours.
Step-by-step explanation:
Distance changes over the first hour of travel, but then doesn't change for one hour, and then it continues on for the next three hours
Answer:
x=y-3
Step-by-step explanation:
okay, so first, we have to understand what the words mean.
PRODUCT: means the answer to a multiplication question
DECREASED: taken away or to make smaller
AND: addition or add
We can use X for "product" and Y for "a number"
now we can write it out:
x=y+5-3
OR
y+5-3=x
