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Marizza181 [45]
3 years ago
7

In ΔBCD, \overline{BD} BD is extended through point D to point E, m∠CDE = (6x-13)^{\circ}(6x−13) ∘ , m∠BCD = (2x+10)^{\circ}(2x+

10) ∘ , and m∠DBC = (x+1)^{\circ}(x+1) Find m∠CDE.
Mathematics
1 answer:
AveGali [126]3 years ago
7 0

Answer:

  m∠CDE = 35°

Step-by-step explanation:

The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...

  6x -13 = (2x+10) +(x +1)

  3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify

  x -8 = 0 . . . . . . . . . . . . . . divide by 3

  x = 8 . . . . . . . . . . . . . . . . . add 8

  6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE

The measure of angle CDE is 35°.

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Salsk061 [2.6K]

Answer:

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Step-by-step explanation:

y = 25°    {Vertically opposite angles}

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30 drinkers were asked whether they like coffee or tea.
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Answer:

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Step-by-step explanation: its really complicated so ill try my best.

so the say 11 like both coffee and tea so that means that they also added 11 to

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3 0
3 years ago
8-2|4-5y|=4<br><br> | | stands for absolute value
Contact [7]

Answer:

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Step-by-step explanation:

The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:

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If we plug both of these answers back into the equation we can see that they both check out.

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2 years ago
Help<br><br> Answer <br><br> Help <br><br> Help
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Answer:

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Step-by-step explanation:

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