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ololo11 [35]
3 years ago
11

The angle of a quadrilateral are A.P and the common difference is 10°. find the angles.

Mathematics
1 answer:
xxMikexx [17]3 years ago
4 0

Step-by-step explanation:

So the Ap will be x,x+10,x+20,x+30

Sum of the angles of a quadrilateral is 360

x+x+10+x+20+x+30=360

4x+60=360

4x=300

x=75

So the angles are 75,85,95,105

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Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
PLS HELP ME ASAP ON 12 (SHOW WORK!) + LOTS OF POINTS!!
Rom4ik [11]
The first thing you do is cross multiply which is 3/4x=48 (3/4 = 0.75). Therfore you divide each side by .75. The left side cancels out. For the right side you divide 48 by .75 and gives you 64. x=64
6 0
3 years ago
Please help!
aleksklad [387]

Answer:

23760 pounds

Step-by-step explanation:

396 passengers

60 pounds for each passenger

total pounds plane can carry=passengers × pounds

= 396×60

= 23760 pounds

....

3 0
2 years ago
A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.
patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

brainly.com/question/2882938

#SPJ1

5 0
2 years ago
What is 3/5 × 4/9 as a fraction.<br><br> Plz help :(
lozanna [386]
3/5 * 4/9 = 4/15. Hope this helps

3 0
3 years ago
Read 2 more answers
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