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Alja [10]
2 years ago
7

Help me if you truly know this...

Mathematics
1 answer:
Natalka [10]2 years ago
7 0

Answer: 3

Step-by-step explanation:

Triangle DCB is similar to Triangle ECA by AAA.

Since EA and DB are parallel lines, that makes Angle CDB = Angle CEA and Angle CBD = Angle CAE because they are corresponding angles.

Since the two triangles are parallel, we can set up a ratio.

\frac{CD}{CE}  = \frac{CB}{CA}

Now we plug in the numbers given.

\frac{6}{8}  = \frac{9}{CA}

Now we can cross multiply

6CA = 72

Therefore, CA = 12.

AB = CA - CB

So AB = 12 - 9

AB = 3

You might be interested in
For the first four days of a five day vacation, the mean temperature was 80 degrees. What must the temperature be on the fifth d
V125BC [204]

Answer:

The 5th day must be 90

Step-by-step explanation:

The first 4 days averaged out to 80

You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.

80*4 = 320

Now you need to add another day into the mix. Call it x

320 + x

Now there are 5 days, not 4, and the new total is 82.

(320 + x) / 5 = 82          Multiply both sides by 5

5*(320 + x) / 5 = 82 *5

320 + x = 410                 Subtract 320

-320        -320

x = 90

6 0
3 years ago
Given that angle a = 45°, work out x.<br><br><br> The diagram is not drawn accurately.
Romashka-Z-Leto [24]

Answer:

X = 45

Step-by-step explanation:

90 + X + A = 180 (angles of a triangle sum to 180)

90 + X + 45 = 180

X = 45

3 0
2 years ago
Hey guys in the middle of my final! please help? will mark the brainiest + 30 points !
MrRa [10]

Answer:

X=90

..............

3 0
3 years ago
I just need some quick help with this. Distributive properties aren't my best section.
Anni [7]
In this case u can’t use the distributive property. U just multiple whats in the parenthesis (39•5)=195 and that’s ur answer.
Let’s say if the problem said 5(2+1) u can’t use the distributive property bc u have to do what’s in the parentheses first. 5(3)=15
But If u had a problem like 2(4x+6) then u can use the distributive property. This is bc u can’t add 4x+6 bc they aren’t like terms. So u multiple the 2 by 4x which is 8x and the 2 by 6 which is 12 then ur answer would be : 8x+12
4 0
3 years ago
I'm stuck on this please help!!
kvv77 [185]
The answer is D
\frac{12 {x}^{6}  {y}^{ - 4} {z}^{2}  }{3 {x}^{2}  {y}^{ - 6}  {z}^{3} } \\  =  \frac{4 {x}^{4}  {y}^{2} }{z}
5 0
4 years ago
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