Answer:
x> 3/20
Step-by-step explanation:
Let's solve your inequality step-by-step.
1
/5 + 1
/3 x> 1
/2 − 1
/4
Step 1: Simplify both sides of the inequality.
1
/3
x+ 1
/5 > 1
/4
Step 2: Subtract 1/5 from both sides.
1
/3
x+ 1/
5 − 1
/5 > 1
/4 − 1
/5 1
/3 x> 1
/20
Step 3: Multiply both sides by 3.
3*(
1
/3
x)>3*(
1
/20
)
x>
3
/20
Answer:
x> 3/
20
Hope this helps!!
Answer:
Step-by-step explanation:
he has 4.80 in dimes and quarters....dimes (d) are worth 0.10 and quarters (q) are worth 0.25
0.10d + 0.25q = 4.80
he has 6 more dimes then quarters
d = q + 6
====================
d = q + 6...so we sub q + 6 in for d, back into the other equation
0.10(q + 6) + 0.25q = 4.80
0.10q + 0.60 + 0.25q = 4.80
0.35q = 4.80 - 0.60
0.35q = 4.20
q = 4.20 / 0.35
q = 12 <====== there is 12 quarters
d = q + 6
d = 12 + 6
d = 18 <===== there is 18 dimes
Similar triangles may or may not be congruent
- The height of the peak is 72 feet
- The triangles are similar by AA similarity postulate
<h3>How to determine the similarity statement</h3>
First, we determine the height of the peak using the following equivalent ratios
P B : B M = T F : F M
So, we have:
Express the units in inches
Express as fractions
Multiply both sides by 240
Express as feet
So, the height of the peak is 72 feet
The ratio also means that the triangles are similar by AA similarity postulate
Read more about similar triangles at:
brainly.com/question/14285697
Answer:
$95.17
Step-by-step explanation:
<em>Coplanar</em> means "lying on the same plane," while <em>colinear </em>means "lying on the same line." In this problem, all four points A, B, C, and D are coplanar - they all lie on the plane 
- so we just need to find the points that lie on the same line. Though points C and B <em>would </em>be colinear if there was a line drawn between them, there's no such line in this problem, so we can rule that out. We notice one line drawn on the plane, and points A, C, and D lying on it, so we can say that points A, C, and D are both coplanar and colinear.
