You want to figure out what the variables equal to, all of these are parallelograms meaning opposite sides and angles are equal to each other.
In question 1 start with 3x+10=43, this means that 3x is 10 less than 43 which is 33, 33 divided by 3 is 11 meaning x=11.
Same thing can be done with the sides 124=4(4y-1), start by getting rid of the parentheses with multiplication to get 124=16y-4, this means that 16y is 4 more than 124, so how many times does 16 go into 128? 8 times, so x=11 and y=8
Question 2 can be solved because opposite angles are the same in a parallelogram, so u=66 degrees
You can find the sum of the interial angles with the formula 180(n-2) where n is the number of sides the shape has, a 4 sided shape has a sum of 360 degrees, so if we already have 2 angles that add up to a total of 132 degrees and there are only 2 angles left and both of those 2 angles have to be the same value then it’s as simple as dividing the remainder in half, 360-132=228 so the other 2 angles would each be 114, 114 divided into 3 parts is 38 so u=66 and v=38
Question 3 and 4 can be solved using the same rules used in question 1 and 2, just set the opposite sides equal to each other
N> 8
Any value greater than 8 will work for n you choose
And this is why
48 < 6n
same thing as
6n > 48
divide by 6 on both sides
And that leaves you with
n>8
Examples which would work
n=9, n=120, n=756, n = 12
Answer:
No, not possible to tell that the two triangles, ΔABE and ΔEDC are similar
Step-by-step explanation:
Similarity criterion:
1. AAA similarity : two triangles are similar if all three angles in the first
triangle equal the corresponding angle in the second triangle
2. AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar.
3. SSS similarity : If the corresponding sides of the two triangles are
proportional, then the two triangles are similar.
4. SAS similarity : In two triangles, if two sets of corresponding sides
are proportional and the included angles are equal then the two
triangles are similar.
Now in the two triangles ABE and EDC :
∠ABE = 100°
∠EDC = 100°
∠ABE = ∠EDC
But only one congruent angle does not not prove that the two triangles are similar.
Hence, NOTHING CAN BE SAID ABOUT THE nature of the triangle.
-4+8p=9p-12
-4=1p-12
8=1p
p=8
Answer:
Slope=2 (m=slope=2)
Step-by-step explanation:
