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erik [133]
3 years ago
9

In the diagram AB is parallel to CD. Calculate the value of A ?

Mathematics
1 answer:
olga55 [171]3 years ago
4 0

The image of the diagram is missing, so i have attached it.

Answer:

a = 30°

Step-by-step explanation:

From the diagram attached, we can see that the 2 angles a and 5a are interior supplementary angles.

The sum of interior supplementary angles is 180°

Thus;

5a + a = 180

6a = 180

a = 180/6

a = 30°

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Please Help! Brainliest Answer! Thank you
GrogVix [38]

Answer:

<h2>B.  27.73 ft.</h2><h2 />

Step-by-step explanation:

see attached image.

the distance between the two person standing on opposite

of a rectangular courtyard is by using Pythagorean theorem:

x² = 25² + 12²

x = \sqrt{625 + 144}

x = 27.73 ft.

4 0
4 years ago
How to find variables x- and y-
Monica [59]

It says that the triangles are congruent (same size). Also, a triangle's angles add up to 180 degrees. In both of these triangles, one angle is 90° and another angle is 52°. The other angle is 180°-90°-52°=38°.

Solve these equations to find x and y: 2x+18=38, 3y+11=38

2x+18=38\\2x=20\\x=10

3y+11=38\\3y=27\\y=9

5 0
3 years ago
leonardo read that his reptile food should be given at a temperature of 72.5°F. He keeps the food in the freezer at –4°F. He has
jolli1 [7]

Answer:

9 hours

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
write the equation of the parabola and a vertex form and standard form given the following information​
beks73 [17]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

(9)

Here (h, k) = (3, - 2), thus

y = a(x - 3)² - 2

To find a substitute (2, 3) into the equation

3 = a(2 - 3)² - 2 ( add 2 to both sides )

5 = a(- 1)² = a , then

y = 5(x - 3)² - 2 ← in vertex form

y = 5(x² - 6x + 9) - 2

   = 5x² - 30x + 45 - 2

y = 5x² - 30x + 43 ← in standard form

(10)

Here (h, k) = (2, - 5), thus

y = a(x - 2)² - 5

To find a substitute (5, 4) into the equation

4 = a(5 - 2)² - 5 ( add 5 to both sides )

9 = a(- 3)² = 9a ( divide both sides by 9 )

a = 1

y = (x - 2)² - 5 ← in vertex form

y = x² - 4x + 4 - 5

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4 0
3 years ago
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Which of the following ordered pairs represents the solution to the system of equations below?
expeople1 [14]
<span>-3x + 2y = 2  eq (1)

  7x - 3y = 7    eq (2)

Mutiply eq (1) by 3 and eq (2) by 2:

-9x + 6y = 6

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Add th two new equations:

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=> x = 20/5

=> x = 4

Now from eq (1)

-3(4) + 2y = 2

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Answer: option B. (4,7)
</span>
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3 years ago
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