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worty [1.4K]
3 years ago
10

Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa sh

ow in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?

Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

  • line AC is runway A;
  • line BD is runway B;
  • line AB is runway C.

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles  CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

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Ater a blizzard the amount of snow on the ground melted by 3 inches one day and then another 8 inches the next day. Write an exp
Hoochie [10]

Answer:

11 inches

Step-by-step explanation:

Let the level of ground level be g

On first day, amount of snow melted by 3 inches

So, level of ground melted= (g- 3) inches

Next day, amount of snow melted by 8 inches

So, level of ground level melted = (g- 3-8 )inches

Hence, total change in the ground level = ( g- 11) inches

Hence, amount of snow on ground level melted by 11 inches

Hence, the correct answer is 11 inches

6 0
3 years ago
A hovercraft takes off from a platform. Its height (in meters), xxx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=
Ad libitum [116K]

the maximum height is the y-value of the vertex.

h(x) = -2x² + 20x + 48

      <em>  a=-2, b=20, c=48</em>

x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5

h(5) = -2(5)² + 20(5) + 48

      =  -50   +  100   + 48

      =          50         + 48

      =                98

Answer: 98 meters

8 0
3 years ago
HELP due tomorrow morning at 7 30 help now please
olga55 [171]
1) 6/15 or 2/5
2) .4 or 40%

for the table its gonna be 14/32 or 7/16
then 5/17 then 11/25 then 8/29 then 3/14
then 9/31 then 12/32 or 3/8 then 8/30 or 4/15 then 2/19 then 15/32
8 0
3 years ago
Dara has 12 red counters. She has 7 more red counters than yellow counters. How many yellow counters does Dara have?
pantera1 [17]

12 red counters

7 more red counters than yellow counters

12 - 7 = 5 yellow counters

Dara has 5 yellow counters.

5 0
3 years ago
Read 2 more answers
The straight line with equation y=3/4x makes an acute angle theta with the x-axis.
yanalaym [24]
The angle is arctan(3/4) => sin(2t) = sin(2arctan(3/4)) =
2sin(arctan(3/4))cos(arctan(3/4)) 

Let z = arctan(3/4) => tan(z) = 3/4 

2sin(arctan(3/4))cos(arctan(3/4)) = 2sin(z)cos(z) = 2(3/5)(4/5) = 24/25 

<span>cos(2t) = cos^2(t) - sin^2(t) = cos^2(z) - sin^2(z) = (4/5)^2 - (3/5)^2 = (16 - 9)/25

= 7/25

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
7 0
3 years ago
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