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solong [7]
3 years ago
9

In △ABC, D is a point on side AC¯¯¯¯¯¯¯¯ such that BD=DC and ∠BCD measures 70∘. What is the degree measure of ∠ADB?

Mathematics
1 answer:
777dan777 [17]3 years ago
5 0
If angle BCD measures 70° then so does angle DBC (because you have formed an isoceles triangle inside the larger ΔABC and the two legs are equal so the two angles have to be equal.   So we have a two 70° angles which leaves 40° for the 3rd angle, which is ∠BDC.   

Since ∠BDC and ∠ADB are supplementary (180°) - that leaves 140° for ∠ADB and is our answer
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
A punch recipe requires 4 L of orange juice and 3 L of pineapple juice. Sylvia wants to tripple the recipe. What is the total am
kirill [66]

Answer:

Sylvia needs 12 l of orange juice and 9 l of pineapple juice.

Step-by-step explanation:

triple means multiplying by 3

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3 0
3 years ago
X-y=3<br> X+2y=-6<br> Solve using substitution
Tresset [83]
X-y=3=>x=3+y
X+2y=-6
=========
3+y+2y=-6
3+3y=-6
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3y=-9
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3 0
3 years ago
Is 0.045 greater than 0.00195​
andrezito [222]

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

4 0
2 years ago
5^(2x-1)+5^(x+1)=250<br> how do you solve?<br> thank you
zepelin [54]

Answer:

<em>x = 2</em>

Step-by-step explanation:

<u>Exponential Equations</u>

Solve:

5^{2x-1}+5^{x+1}=250

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5^{2x}5^{-1}+5^{x}5^{1}=250

Operating:

\displaystyle \frac{5^{2x}}{5}+5^{x}5=250

Multiplying by 5:

5^{2x}+25\cdot5^x=1250

Rearranging:

5^{2x}+25\cdot5^x-1250=0

Recall that:

5^{2x}=(5^{x})^2

(5^{x})^2+25\cdot5^x-1250=0

Calling

y=5^{x}:

y^2+25y-1250=0

Factoring:

(y-25)(y+50)=0

There are two possible solutions:

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Since

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y cannot be negative, thus:

5^{x}=25=5^2

The solution is:

x = 2

8 0
3 years ago
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