Answer:
x=+5
Step-by-step explanation:
3(x+2)-2x-7=-(-5x-1)-2(x+6)
We move all terms to the left:
3(x+2)-2x-7-(-(-5x-1)-2(x+6))=0
We add all the numbers together, and all the variables
-2x+3(x+2)-(-(-5x-1)-2(x+6))-7=0
We multiply parentheses
-2x+3x-(-(-5x-1)-2(x+6))+6-7=0
We calculate terms in parentheses: -(-(-5x-1)-2(x+6)), so:
-(-5x-1)-2(x+6)
We multiply parentheses
-(-5x-1)-2x-12
We get rid of parentheses
5x-2x+1-12
We add all the numbers together, and all the variables
3x-11
Back to the equation:
-(3x-11)
We add all the numbers together, and all the variables
x-(3x-11)-1=0
We get rid of parentheses
x-3x+11-1=0
We add all the numbers together, and all the variables
-2x+10=0
We move all terms containing x to the left, all other terms to the right
-2x=-10
x=-10/-2
x=+5
Answer:
Quadrilateral ABCD is a <u>parallelogram</u>
if the vertex C( 11, -1 ) we’re shifted to the point C ( 11, 1 ), quadrilateral ABCD would be a <u>kite</u>
Step-by-step explanation:
without solving, im guessing that quad ABCD is a paralellogram (//gram)
lets test this theory
see if the slope of AB and CD, and BC and AD is the same
slope AB and CD
AB:
-7--4/11-9
=-3/2
CD:
-1--4/11-13
=3/-2
=-3/2
slope is the same
slope BC and AD
BC:
-4--1/9-11
=-3/-2
=3/2
AD:
-7--4/11-13
=-3/-2
=3/2
slope is same
because 2 pairs // sides ---> //gram
if the vertex C( 11, -1 ) we’re shifted to the point C ( 11, 1 ), quadrilateral ABCD would be a kite
hope this helps!
please mark brainliest thank you !
Here is the answer from SparkNotes
http://www.sparknotes.com/math/algebra2/operationsonfunctions/section3.rhtml
Answer:
Step-by-step explanation:
1) A similar triangle must have the same ratios of sides. Triangle ABC and triangle LNM are similar because all the sides of LNM are 1/2 of the sides of ABC. As they are all in a 1:2 ratio, the triangles are similar.
2) ADE and ABC are similar because each angle is the same. Angle D and Angle B are the same because they are shown as the same with the same dot symbolization. Angle E and C are the same because they are shown as the same with the same curvy angle representation. ADE and ABC share A as the same angle, so all three angles are the same.
5) As triangles ABC and EDC are similar, the sides must have the same ratio. ED is similar to AB, EC is similar to AC, and CD and BC are similar. First we find the ratio. The only pair of similar lines are EC and AC, so we have to find the ratio from those two lines. EC is 15 and AC is 10/3, so we do 15 divided by 10/3 and we get 9/2. Therefore, the ratio is 9/2. Now we can find x and y. We can first look at ED and AB. Ed is 12 and AB is y. We know that it must have the same ratio of 9/2, so 12/y must equal 9/2. We can do proportions. 12/y = 9/2, 9y = 24 (you multiply the numbers diagonally). So, we get y = 8/3. Now we can get x the same way. BC and CD are similar, and so x/5 must equal 9/2 as well. We use proportions again and we have x/5 = 9/2, so 45 = 2x and x = 45/2.
Answer:
207.1
Step-by-step explanation:
4.65×22=102.3
103.55+102.3= 207.1
