In the middle/Alike: 3,1,8,2,4
Outside for 318,274: Doesnt have 5
Outside for 138,524: Doesnt have 7
Answer:
m∠1= 79
Step-by-step explanation:
What we have here is two vertical lines and one intersecting point.
The m∠1 and m∠6 are vertical angles, which means that they equal to each other. So, the equation would be: 6x+25= 10x-11.
Step 1- Subtract 6x to both sides.
6x+25= 10x-11
-6x -6x
25= 4x-11
Step 2- Add 11 to both sides.
25= 4x-11
+11 +11
36= 4x
Step 3- Divide both sides by 4.
<u>36</u>= <u>4x</u>
4 4
x= 9
Now that we know the value of the variable x, substitute it into the equation for m∠1.
m∠1= 10(9)-11
m∠1= 90-11
m∠= 79
<u>Check </u>
m∠6= 6(9)+25
m∠6= 54+25
m∠6= 79
Since m∠1 and m∠6 are vertical angles, they should equal each other.
Answer:
18
Step-by-step explanation:
For this problem, we will simply plug in the values of a and b into the respective variables in the expression 3ab to "evaluate" the expression.
a = 2; b = 3
3ab
Note, that when variables like a and b are smashed with a constant, the use of multiplication is in play.
3ab = 3 * a * b
With this in mind, let's plug in the values of a and b into the expression.
3ab
= 3 (2) (3)
= 3 (6)
= 18
Hence, 3ab evaluated when a=2 and b=3 is 18.
Cheers.
Answer:
<h2>x = 10</h2>
Step-by-step explanation:
If the triangles are similar, then the corresponding sides are in proportion:
![\dfrac{20}{20+8}=\dfrac{3x}{4x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B20%2B8%7D%3D%5Cdfrac%7B3x%7D%7B4x%2B2%7D)
![\dfrac{20}{28}=\dfrac{3x}{4x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%7D%7B28%7D%3D%5Cdfrac%7B3x%7D%7B4x%2B2%7D)
![\dfrac{20:4}{28:4}=\dfrac{3x}{4x+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B20%3A4%7D%7B28%3A4%7D%3D%5Cdfrac%7B3x%7D%7B4x%2B2%7D)
<em>cross multiply</em>
<em>use distributive property </em><em>a(b + c) = ab + ac</em>
![(5)(4x)+(5)(2)=21x](https://tex.z-dn.net/?f=%285%29%284x%29%2B%285%29%282%29%3D21x)
<em>subtract 20x from both sides</em>
![10=1x\to x=10](https://tex.z-dn.net/?f=10%3D1x%5Cto%20x%3D10)
Answer:
1:8 and 1:64
Step-by-step explanation:
(i think)