For the answer to the question above, the opposite angles at the intersection of two straight lines as shown in the graph are congruent.
So the answer is simply∡ EIA and ∡ KIJ are congruent.
I hope my answer helped you. Have a nice day!
Answer:
x = 3.1 %
Step-by-step explanation:
Let x be the slope the track.
Given:
Distance between station A and B = 270 ft
Track rise = 
We need to find the slope of the railway track between station A an B.
Solution:
The maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
We know that slope of the railway track is equal to gradient of the tracks.
So. the slope of the railway track is defined as the ratio of the distance between the stations and track rises.
x = 3.1 %
So x = 3.1 % less than the maximum grade allowed between two stations in a rapid-transit rail system is 3.5%.
Therefore, x = 3.1 % meets the rapid-transit rail standards.
Given choices:
(1) division property of equality
(2) factoring the binomial
(3)completing the square
(4)subtraction property of equality
Answer : (2) factoring the binomial
Step 1: 
Step 2:![-c = a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20-c%20%3D%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
In step 2, 'a' is taken out from 
. when we take out 'a' we divide each term by 'a'. so it becomes ![a[x^2+\frac{b}{a} x]](https://tex.z-dn.net/?f=%20%20%20a%5Bx%5E2%2B%5Cfrac%7Bb%7D%7Ba%7D%20x%5D%20%20%20)
'a' is factored out in step 2. we call it as factoring a binomial.
Answer:option B & D are correct
Step-by-step explanation:
Given options are
A B C D E
Tether ball pole shadow 1.35 1.8 3.75 0.6 2
Flagpole shadow 3.4 4.08 8.35 1.36 4.8
Ratio of corresponding height & shadows should be same
3 meter tall tether ball pole and a 6.8 tall flagpole
=> Ratio = 6.8/3 = 68/30 = 34/15
A - 3.4/1.35 = 340/135 ≠ 34/15( 306/135)
B - 4.08/1.8 = 408/180 = 34/15 = 34/15 ( Correct option)
C 8.35/3.75 = 835/375 = 167/75 ≠ 34/15( 170/75)
D 1.36/0.6 = 136/60 = 34/15 = 34/15 ( Correct option)
E 4.8/2 = 48/20 = 12/5 = 36/15 ≠ 34/15
option B & D are correct
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
