Answer:
(2 x)/15
Step-by-step explanation:
Simplify the following:
(4 x)/5 - (2 x)/3
Put each term in (4 x)/5 - (2 x)/3 over the common denominator 15: (4 x)/5 - (2 x)/3 = (12 x)/15 - (10 x)/15:
(12 x)/15 - (10 x)/15
(12 x)/15 - (10 x)/15 = (12 x - 10 x)/15:
(12 x - 10 x)/15
12 x - 10 x = 2 x:
Answer: (2 x)/15
Answer:
Exact form : x = 67/3
Decimal form : x = 22.33333333333...
Mixed Number form : x = 22 1/3
Step-by-step explanation: Solve for x by simplifying both sides of the equation, then isolating the variable.
I hope this helps you out. :)
A rotation 270° counterclockwise about the origin is the same as rotation 90° clockwise about the origin and has a rule:
(x,y)→(y,-x).
Then:
- D(−2,4)→D'(4,2)
- E(4,7)→E'(7,-4)
- F(10,3)→F'(3,-10)
- G(8,0)→G'(0,-8)
Answer: the coordinates of vertices of quadrilateral D′E′F′G′ are D'(4,2), E'(7,-4), F'(3,-10), G'(0,-8).
7/10 in its simplest form is 0.7
<em><u>Simplified </u></em><em><u>Recap:</u></em>
PQR and XYR are similar.
PQ: 4 inches (shortest side)
PR: 9 inches
QR: 12 inches (longest side)
<em><u>Solving:</u></em>
Because they are similar triangles, we know that the sides of one triangle are proportional to the ones on the other. Therefore, the smallest side of PQR is proportional to the smallest side of XYZ. Now, we just need to figure out the constant of proportionality , and we can do that by dividing the smallest side of XYZ triangle by the smallest side of PQR.

Now we know that the constant of proportionality is 4. All we have to do now is solve the problem. The question is asking what the longest side of XYZ is, and to find that we just need to multiply the longest side of PQR by our constant of proportionality.

Therefore, our answer is 48.