B. Evaluate each expression for x = 5. Based on your results, do you know whether the two expressions are equivalent? Explain.
What value of x satisfies both equations above?
1. -1
2. 2
3. 1
4. -2
What is the slope of the line described by the 3y - 4x + 5 = 0 equation?
1. 4/3
2. -5/3
3. 5/4
4. 3/4
Please help.. Show work for ALL problems please.
a. Is the ratio of quarters to dimes still 5:3?
b. If so, illustrate with an example. If not, give a counter-example.
3. You are 13 years old, and your cousin is 19 years old. As you grow older, is your age proportional to your cousin's age? Explain your reasoning
Answer:
1. The relation is proportional.
2. The ratio of quarters and to dimes will not remain 5 : 3.
3. y = 6 + x, Hence, not proportional.
Step-by-step explanation:
1. I can do 90 sit-ups in 2 minutes and my friend can do 135 sit-ups in 3 minutes.
If we consider t as the time in minutes and n as the number of sit-ups, then we can write (2,90) and (3,135) as two ordered pairs.
So, the relation between t and n will be
⇒ n = 45t
Therefore, the relation is proportional.
2. The initial ratio of quarters to dimes was 5:3. If I add the same number of quarters and dimes to it then,
a) The ratio of quarters and dimes will not still be 5 : 3.
b) Let, the number of quarters was 5 then the number of dimes was 3. {As the ratio was 5 : 3}
Now, we add 3 new quarters and 3 new dimes in the collection. then, finally, the number of quarters will be (5 + 3) = 8 and the number of dimes will become (3 + 3) = 6.
Therefore, the new ratio will become 8 : 6 = 4 : 3 which is not equal to 5 : 3.
3. I am 13 years old, and my cousin is 19 years old.
So, if my age is given by x and that of my cousin is y, then
y - x = 19 - 13
⇒ y - x = 6
⇒ y = 6 + x
This relation will continue as the year passes. So, the relation is not proportional as the relation is not like y = kx. (Answer)
Answer: 1 3/5
Step-by-step explanation:
if you have 8 cookies and want to share it with 5 total people you divide it so 8/5 is 1.6
RST
UXR
TUR
TXU
See Picture
Answer:
Option B is correct.
Step-by-step explanation:
Given: RSTU is a parallelogram.
By definition of parallelogram, two pairs of opposite sides are congruent in length.
⇒ and
In triangle RST and triangle TUR
[Side]
[Side]
[Common side]
SSS(Side-Side-Side) postulates states that if three sides of one triangle are congruent to three sides of other triangle, then the triangles are congruent.
then, by SSS postulates we have;
Answer:
Answer is below.
Step-by-step explanation:
Given: RSTU is a parallelogram.
Triangle RST congruent to triangle TUR.
Hope this helps.