1) 24:6
2) 60:48
I just multiplied by 2
Answer:
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
6. 1/2 divide 7 by both #
7. 1/4 divide 2 by both#
8. 2/3 divide 8 by 4, then divide 24 by 4 to get 4/6 to reduce it divide 2 by both #
9. 5/7 divide 3 by both #
10. 3/4 divide 18 and 24 by 3= 6/8 then divide these two # by 2
Given the equation ![6x-3y=5.](https://tex.z-dn.net/?f=6x-3y%3D5.)
Check all options:
A.
, this means that
Substitute these numbers into the left side of the equation equation:
![6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.](https://tex.z-dn.net/?f=6%5Ccdot%209-3%5Ccdot%20%5Cdfrac%7B16%7D%7B3%7D%3D54-16%3D38%5Cneq%205.)
This option is false.
B.
, this means that
Substitute these numbers into the left side of the equation equation:
![6\cdot 6-3\cdot (-3)=36+9=45\neq 5.](https://tex.z-dn.net/?f=6%5Ccdot%206-3%5Ccdot%20%28-3%29%3D36%2B9%3D45%5Cneq%205.)
This option is false.
C.
, this means that
Substitute these numbers into the left side of the equation equation:
![6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.](https://tex.z-dn.net/?f=6%5Ccdot%201-3%5Ccdot%20%5Cleft%28-%5Cdfrac%7B11%7D%7B3%7D%5Cright%29%3D6%2B11%3D17%5Cneq%205.)
This option is false.
D.
, this means that
Substitute these numbers into the left side of the equation equation:
![6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.](https://tex.z-dn.net/?f=6%5Ccdot%20%28-2%29-3%5Ccdot%20%5Cleft%28-%5Cdfrac%7B17%7D%7B3%7D%5Cright%29%3D-12%2B17%3D5.)
This option is true.
Answer: correct choice is D.
The ratio of Jesse's laps around the track compared to his grandfather will be 3:1