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Tom [10]
1 year ago
5

In the figure shown, m∠ABD=8x−28 and m∠DBC=4x+10.

Mathematics
1 answer:
prohojiy [21]1 year ago
7 0

In geometry, the segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

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What is the x-intercept of the line that passes though the point (5, 3) with a slope of - 2/5?
lukranit [14]
Point/Slope Form of an equation!

(5,3)

slope of -2/5

x= 5
y = 3

y - y1 = m(x-x1)

y - 3 = -2/5(x-5)

y - 3 = -2/5x + 2

y = -2/5x + 5

x intercept of 5
4 0
3 years ago
If the relative frequency of getting a red on a spinner is 0.4 how many reds would you expect to get in 300spins?
Sauron [17]

This relative frequency is an experimental probability:  that of getting a red on a spinner.  In 300 spins, we'd expect to get 0.4(300), or 120, reds.

5 0
3 years ago
Angles a and b are complementary angles symmetry of angle a is 28° more than the measure of angle b find the missing angle measu
scoray [572]

Answer:

31 , 59

Step-by-step explanation:

a = b +28

a + b = 90 {Complementary}

b + 28 + b = 90    {Combine like terms}

2b + 28 = 90       {Subtract 28 form both sides}

       2b  = 90 - 28

       2b = 62      {Divide both sides by 2}

        b = 62/2

       b = 31

a = 31 + 28

a = 59

7 0
3 years ago
Brandon rode in a taxi that charges a flat fee of $2.25 and an additional $0.40 per mile of his trip. If he paid $6.80 for the c
r-ruslan [8.4K]

Answer:

11 \frac{3}{8} miles.

Step-by-step explanation:

To find how many miles Brandon rode, we can create an equation in slope-intercept form: y = mx + b

$2.25 is the flat fee, or the unchanging variable. This is our y-intercept, or b.

$0.40 is the changing variable, as it changes value depending on the amount of miles ridden. This is our slope, or m.

We know Brandon spent $6.80 on the cab ride. So, this is our y.

We get the equation: 6.80 = 0.40x + 2.25.

To solve, first subtract 2.25 from both sides of the equation:

6.80 - 2.25 = 0.40x + 2.25 - 2.25

We get: 4.55 = 0.40x

Now, just divide by 0.40 on both sides:

4.55 ÷ 0.40 = 0.40x ÷ 0.40

We get: 11.375 = x

So, Brandon rode for 11.375 miles. When converted to a mixed number, we get 11 \frac{3}{8} .

<em>I would appreciate brainliest, if not that's ok!</em>

6 0
2 years ago
The diameter of a circle is 10 ft. Find the circumference to the nearest tenth to the nearest tenth. (Urgent)
Paul [167]

Answer:

31.42ft

Step-by-step explanation:

diameter = 10

radius = diameter ÷ 2

r = 10 ÷ 2

r= 5

Circumference = 2(pie)(r)

= 2(22÷7)(5)

= 31.42ft

6 0
2 years ago
Read 2 more answers
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