Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
<h3>Hence, angle O is <u>52°</u><u>.</u></h3>
Answer:
Step-by-step explanation:
9=-d+17
(add d to both sides because it is the opposite of subtracting)
9+d=17
(subtract 9 from both sides because it is the opposite of adding)
d=17-9=8
Answer:
<em>Answer: 1/4</em>
Step-by-step explanation:
<u>Algebraic Operations</u>
The width of a rectangle is given as W=5x+3 and the length of the rectangle is given as L=20x+12.
It's required to determine the ratio of the width to the length, that is:
This fraction can be simplified if we factor the expression in the denominator. The LCF of 20x and 12 is 4, thus:
Now note we have the exact same expression up and down, thus simplifying:
Answer: 1/4
V = (1/2) area of cross-section times length.
Note: I will use L in place of x to represent the length of the prism.
In short, V = (1/2)*b*h*L.
To find the surface area, use
A = bh + 2Ls + Lb
Volume given to be 15, 510.
Part (a) set up:
15, 510 = (1/2)(60)(11)L
Can you finish? Just solve for L to find your x-value.
Part (b) set up:
To answer part (b), you must find the value of L in part (a).
A = (60)(11) + 2L(61) + L(60)
Understand? Take it from here.
LCM = 5 × 3 × 3 × 7 × 2 × 2 × 5
LCM = 6300
<u>Hence, the LCM of 315 , 420 , 525 is 6300</u>