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zmey [24]
3 years ago
6

If angle ABC is one degree less than three times angle ABD and angle DBC=47 find each measure

Mathematics
1 answer:
Contact [7]3 years ago
8 0

It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.

Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC

⇒ Angle ABC = Angle ABD + Angle DBC

Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree

Let angle ABD be x

⇒ Angle ABC = 3x-1

Also, Angle ABC = Angle ABD + Angle DBC

Substituting the values in the above equations

⇒ 3x-1 = x+47

⇒ 2x = 48

⇒ x = 24

So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree

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Write an equation or inequality to represent "five times the difference of a number n and forty two is ten more than twice the p
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Five times the difference of a number n and forty two is ten more than twice the product of a number x and number y

  • Five times: 5 ×
  • difference of a number n and forty two: (n - 42)
  • is: =
  • twice the product of a number x and a number y: 2(xy)
  • ten more than: + 10

Rewrite the expression into an equation.

<h3>5(n - 42) = 2(xy) + 10</h3>
3 0
3 years ago
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7 0
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MrMuchimi

Answer:

4

Step-by-step explanation:

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6 0
1 year ago
A line with a slope of -3 and an x-intercept of 15 passes through which following points?
Alla [95]

Let's first write down all the information given in <em>y = mx + b</em> form. Notice that x-intercept means that <em>y = 0</em> at that point. <em>b</em> is not given, so:

0 = -3(15) + b

Let's solve for b:

0 = -45+b

b = 45

Now we have the equation:

y = -3x + 45

We can plug in every option given to see which choice makes it true:

<u>(0, 30)</u>

30 = -3(0) + 45

30 \neq 45

<u>(5, 15)</u>

15 = -3(5) + 4515 = -15+45

15\neq 30

<u>(10, 10)</u>

10 = -3(10) + 45

10 \neq 15

<u>(-5, 60)</u>

60 = -3(-5) + 45

60 = 60

Therefore, choice D or <u><em>(-5, 60)</em></u> is your answer. Hope I could help! :)


<em>*There is probably an easier way to solve this, I just didn't see it when I attacked the problem! :) </em>

5 0
3 years ago
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