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dlinn [17]
3 years ago
8

Name a pair of lines that apear to be parallel

Mathematics
1 answer:
Nitella [24]3 years ago
8 0
The sides of a square or rectangle
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Find the side in of point a to point c
vladimir1956 [14]

Step 1:

Calculate the measure of angle ∠ABC

\angle DBC+\angle ABC=180(\text{ sum of angles on a straight line)}\angle ABC=65^0\begin{gathered} \angle DBC+\angle ABC=180 \\ \angle DBC+65^0=180^0 \\ \angle DBC=180^0-65^0 \\ \angle DBC=115^0 \end{gathered}

From the triangle in the question,

a=10\operatorname{km},c=15\operatorname{km},B=115^0

Step 2:

Calculate the value of AB using the cosine rule below

b^2=a^2+c^2-2\times a\times c\times\cos B

By substituting the values, we will have

\begin{gathered} b^2=a^2+c^2-2\times a\times c\times\cos B \\ b^2=10^2+15^2-2\times10\times15\times\cos 115^0 \\ b^2=100+225-300\times(-0.4226) \\ b^2=325+126.78 \\ b^2=451.78 \\ \text{Square root both sides} \\ \sqrt[]{b^2}=\sqrt[]{451.78} \\ b=21.26\operatorname{km} \end{gathered}

Hence,

The distance of point A to point C is = 21.26km

3 0
10 months ago
Which expression factors to 8(x+2)
yaroslaw [1]
8(x)+8(2)
8x+16

8 divided by 16 = 2
6 0
3 years ago
What does 2/3- 6 equal ?
Airida [17]
The answer is -5 1/3
3 0
3 years ago
Read 2 more answers
What’s the answer to these !!!
atroni [7]

Answer:

a)22

b)12 and 14

c)14

d)9

e)21and22

6 0
3 years ago
ms Gregory has a coupon for dsw for 1/7 off of her total purchase. she purchases 4 pairs of shoes for her and her friends wich a
sesenic [268]

Answer:

She will pay $216 if she uses the coupon.

Step-by-step explanation:

Since the coupon is 1/7 off, you do 1/7 * 252 = 36. So she saves $36 with the coupon. Subtract the coupon from the total purchase. $252 - $36 = $216.

4 0
3 years ago
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