SAS theorem states that if <u>two sides</u> and the <u>included angle</u> of one <u>triangle</u> are <u>congruent</u> to <u>two sides</u> and the <u>included angle</u> of another <u>triangle</u>, then these two <u>triangles are congruent</u>.
1. RQ ≅ QP (given)
2. If RP bisects ST at Q, then TQ ≅ QS (by the definition of segment bisector).
3. ∠RQT, ∠PQS are vertical angles (angles that are vertically opposite to each other when lines PR and ST intersect, Q is the common vertex).
∠RQT ≅ ∠PQS (by the vertical angles theorem).
Vertical angles theorem states that vertical angles are always congruent.
According to SAS theorem, ΔRQT ≅ ΔPQS.
Answer: vertical angles theorem
Answer:
C=-2
Step-by-step explanation:
Plus 14 to both sides then divide both side by -5
<span>17x-2=7x+8
We simplify the equation to the form, which is simple to understand
<span>17x-2=7x+8
We move all terms containing x to the left and all other terms to the right.
<span>+17x-7x=+8+2
We simplify left and right side of the equation.
<span>+10x=+10
We divide both sides of the equation by 10 to get x.
<span>x=1</span></span></span></span></span>
I got 6.3 not sure if Im right
In this case you would have numbers that are not whole, so you have decimals.
Ex of how you estimate numbers:
5.45 estimate is 5
3.20 estimate is 3
7.50 estimate is 8
1.89 estimate is 2
Everything that is beyond .50 decimals is rounded up to the next no. 7.50 is estimated to 8 because the decimals are .50 or above. Same goes for the other ex. 1.89 which will become 2.
Everything that is under the .50 decimals we rounded down to the same number, 5.45 has the decimals under .50 that means that the number is rounded down to 5. same applies to 3.20 which will become 3.
Hope you understand the explanation!
Cheers