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3 years ago

If ABCD is a rectangle, find the measure of angle ABD.

Mathematics

2 answers:

pav-90 [236]3 years ago

5 0

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

____ [38]3 years ago

5 0

The answer to this question is 31 degrees

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Input, x 4 8 12 16 20 output y 21 37 53 69 85 what is the equation

BigorU [14]

Answer:

The equation is y = 4x + 5

Step-by-step explanation:

To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).

m(slope) = (y2 - y1)/(x2 - x1)

m = (37 - 21)(8 - 4)

m = 16/4

m = 4

Now we can use that slope along with any point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 21 = 4(x - 4)

y - 21 = 4x - 16

y = 4x + 5

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4 years ago

Express 50grams into ounces

Mashcka [7]

Answer:

1.7636981 = 1.7

Step-by-step explanation:

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3 years ago

Read 2 more answers

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

denpristay [2]

The perimeter of the square is: $20\sqrt2$ ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

$d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100$

Dividing both sides by 2

$\frac{2a^2}{2}=\frac{100}{2}\\a^2=50$

Taking Square root on both sides

$\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft$

Now,

$P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft$

Hence,

The perimeter of the square is: $20\sqrt2$ ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

#learnwithBrainly

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4 years ago

Can someone please help me with number 15?

igor_vitrenko [27]

the answer is 2. because you need to subtract the fractions once you do that you’ll get -2 • (-1) then multiple you’ll have 2 .

6 0

3 years ago

Who’s done this packet already? Or who’s finished it? MESSAGE ME ASAP! Thanks!!!!

Zina [86]

Answer:

1. D. 2x + y = 4

2. A

Step-by-step explanation:

Problem 1:

To find the equation in standard form, first find the equation of the graph in slope-intercept form, y = mx + b.

Where, m = slope and b = y-intercept.

Slope (m) = ∆y/∆x

Using two points on the line, (0, 4) and (2, 0):

Slope (m) = (0 - 4)/(2 - 0) = -4/2 = -2

m = -2

y-intercept is the y-coordinate of the point where the line intercepts the y-axis = 4.

Thus,

b = 4

Substitute m = -2, and b = 4 into y = mx + b:

y = -2x + 4

Rewrite in standard form:

2x + y = 4

Problem 2:

The funtion y = ½(x) + 2 is given in the slope-intercept form y = mx + b.

m = slope = ½

b = y-intercept = 2

Therefore, the graph that has a slope value of ½ and y-intercept value of 2 would be the graph that represents the given function.

Thus, the graph in option A, has a y-intercept (b) value of 2 (the line intercepts the y-axis at y = 2).

Also, the slope of graph A = ½.

Therefore, the answer is option A.

4 0

3 years ago