Answer:
AB ║ CD. (Proved)
Step-by-step explanation:
See the attached diagram of the triangle.
It is given that Δ ACD is an isosceles triangle.
Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)
Again, given that ∠ 1 = ∠ 3 ........... (2)
Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4
Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.
Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)
Answer:
$0.03
Step-by-step explanation:
2.31/11 =.21
2.70/15 =.18
.21-.18 = .03
Answer:
so here we are told that angle CED is 39 degrees and in this diagram we have three angles the first one is Angle CED the next one is angle CEL and the last one is angle LED so angle c e l + angle LED is equals to angle c e d so in this case 3 x - 6 + x + 25 should be equal to 39 degrees collect the like terms 3 x + x + 25 - 6 is equals to 39 degrees 4X + 19 is equals to 39 cross the 19 over the equals sign that you have 4 x is equals to 39 + 19 4 x is equals to 68 divide both sides by 4 and x is equals to 17 then substitute replace where there is x with seventeen so in this case angle c e l will be 3 * 17 -6 we are multiplying 3 by 17 because it was 3 x and we got the value of x to be 17 so 3 * 17 is 51 -6 is 45 so angle CEL is 45 degrees you can do the same with the other angle that is angle LED and you get x to be 42
Answer: m∠QPR = 40
<h2>
Step-by-step explanation:</h2>
Because PG is perpendicular to PS, it is safe to assume that angle QPS is 90 degrees.
(7x-9) + (4x +22) = 90
x = 7
Because we need to find the degrees of QPR, plug in the equation for that angle with the value of x we found.
7(7) - 9 = 40
m∠QPR = 40
Answer:
66 inches
Step-by-step explanation:
1. Yards to Feet:
1 yard= 3 feet
(6 yards)(3)= 18
6 yards = 18 feet
2. Number of Groups:
30 students/6 students per group= 5 groups
3. Total String Needed:
(5 groups)x(2.5 feet string)= 12.5 feet total string
4. Remaining String:
18 feet-12.5 feet= 5.5 feet
5. Feet to Inches:
1 foot= 12 inches
(5.5 feet)(12)= 66 inches
66 inches of string will remain
