Answer:
CD is 6 cm and DE is 4 cm.
Step-by-step explanation:
Well it‘s the correct answer and I got it right so good luck out there bois!
Total number of voters=4400+17600=22000
Percentage of voters in favour of the shopping center: 4400/22000=1/5=20/100=20%
Therefore, 20% of the voters are in favour of the shopping center
Step-by-step explanation:
Given x intercept is 1, So (x,y) is (1,0)
When x intercept is 1 then y value is 0
Another point on the line is (-2,3)
Two points are (1,0) and (-2,3)
Find out slope using the two given points

Use point slope formula
m=-1 and point(1,0)

Point slope equation is

Equation of the line in slope intercept form is

I believe it would be 12.16
m∠1 = 30° (by Vertical angle theorem)
m∠A = 80° (by Triangle sum theorem)
m∠D = 80° (by Triangle sum theorem)
The value of x is 7.5 and y is 9.
Solution:
∠ACB and ∠DCE are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
⇒ m∠DCE = m∠ACB
⇒ m∠1 = 30° (by Vertical angle theorem)
In triangle ACD,
Triangle sum property:
<em>Sum of the interior angles of the triangle = 180°</em>
⇒ m∠A + m∠C + m∠B = 180°
⇒ m∠A + 30° + 70° = 180°
⇒ m∠A + 100° = 180°
⇒ m∠A = 100° – 180°
⇒ m∠A = 80° (by Triangle sum theorem)
Similarly, m∠D = 80° (by Triangle sum theorem)
In ΔACD and ΔDCE,
All the angles are congruent, so ΔACD and ΔDCE are similar triangles.
<em>In similar triangle corresponding sides are in the same ratio.</em>

Do cross multiplication.
90 = 12x
7.5 = x
Now, to find y:

Do cross multiplication.
9y = 72
Divide by 9, we get
y = 8
Hence the value of x is 7.5 and y is 9.