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3 years ago

12

Which sides of quadrilateral ABCD must be parallel? Explain.

1 answer:

madam [21]3 years ago

7 0

Answer:

{54,32}

Step-by-step explanation:

The cartesian product of two sets is the set of all possible ordered pairs whose first component is a member of the first set and whose second component is a member of the second set.

{54,32}

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A straight line, L, has equation 3y = 5x - 6. Find the gradient of L,

Andrei [34K]

Answer:

5/3

Step-by-step explanation:

3y = 5x - 6

y = 5/3x - g

using y = mx + b

gradient = m

gradient = 5/3

8 0

3 years ago

Find the measure of the missing angle

Leokris [45]

Answer:

z = 69°

Step-by-step explanation:

The sum of all interior angles in a quadrilateral is 360°, and a right angle is worth 90°. We're given the values of the interior angles as 90, 122, 79, and z degrees.

We can solve this question algebraically with the equation $90 + 122 + 79 + z = 360$

Step 1: Combine like terms.

$(90+122+79)+z=360$
$z + 291 = 360$

Step 2: Subtract 291 from both sides.

$z + 291 - 291 = 360 - 291$
$z = 69$

Step 3: Check if solution is correct.

$(69) + 261=360$
$360 = 360$

Therefore, z = 69°.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

6 0

2 years ago

A town has a fireworks display, where fireworks are set off from a bridge over a lake. The function h (t) = -16t2 + 150t + 10.5

Elodia [21]

Answer:

h(t) = 4.68 seconds

Step-by-step explanation:

The function that represents the height of each firework in feet is :

$h (t) = -16t^2 + 150t + 10.5$ .....(1)

We need to find the time the fireworks take to reach their maximum height. For maximum height,

dh/dt = 0

So,

$\dfrac{d}{dt}(-16t^2 + 150t + 10.5 )=0\\\\-32t+150=0\\\\t=\dfrac{150}{32}\\\\t=4.68\ s$

Put t = 4.68 in equation (1).

$h (t) = -16(4.68)^2 + 150(4.68)+ 10.5\\\\h(t)=362.06\ text{feet}$

So, the fireworks will take 4.68 seconds to their maximum height.

7 0

3 years ago

Tickets at a carnival cost $0.75

erma4kov [3.2K]

Answer: $14.75

I just did $0.75 x 7 = $5.25 and subtracted that from $20. Lmk if this helps or if my answer was incorrect!

8 0

2 years ago

Read 2 more answers

Determine the SCALE FACTOR. Original image: 1.5 inches tall, 2 inches long. Scale Drawing: 3.75 inches tall, 5 inches long. (pic

Virty [35]

Answer:

scale factor is 2.5

Step-by-step explanation:

Notice that the original image is smaller than the scale drawing. Examine the ratios of the sizes:

Image/ Original :

height: 3.75 in / 1.5 in = 2.5

length: 5 in / 2 in = 2.5

The scale factor is clearly 2.5

3 0

3 years ago