Answer:
A. B
B. C and D
Step-by-step explanation:
A: 2/3 * 7/7
7/7= 1 which is larger than 2/3
Answer:
y = 3x -1
Step-by-step explanation:
When x goes up 2 units from 5 to 7, y goes up 6 units, from 14 to 20. That's 3 times as many units as the change in x.
When x goes up 4 units from 7 to 11, you goes up 12 units, from 30 to 32. That's 3 times as many units as the change in x.
So, the slope of the function is constant at 3. If y were 3x exactly, the output numbers would be 15, 21, 33, each of which is 1 higher than the actual output. Hence the output must be one less than 3x, or ...
y = 3x -1
Answer:
Part a) GK=(7x+1)
Part b) GH=5 units and JK=8 units
Step-by-step explanation:
Part a) what algebraic expression represents GK?
we know that
GK=GH+HJ+JK
step 1
Find GH
we have
GH=GJ-HJ
substitute the given values
GH=(2x+3)-x=x+3
step 2
Find JK
JK=HK-HJ
substitute the given values
JK=(6x-2)-x=5x-2
step 3
Find GK
GK=GH+HJ+JK
we have
GH=x+3
HJ=x
JK=5x-2
substitute
GK=(x+3)+x+(5x-2)
GK=(7x+1)
Part b) If GK=15, what are GH and JK?
we know that
GK=(7x+1)
For GK=15
substitute the value of GK and solve for x
15=(7x+1)
7x=15-1
7x=14
x=2
<u><em>Find the value of GH</em></u>
GH=x+3
substitute the value of x
GH=2+3=5 units
<u><em>Find the value of JK</em></u>
JK=5x-2
substitute the value of x
JK=5(2)-2=8 units
Answer:
The measure of ∠A is 127°.
Step-by-step explanation:
The interior angles of a triangle always add up to 180°. Since you can fix <em>three</em> triangles into a pentagon, the sum of its interior of angles is 540° You could also look at how many angles there are (5), multiply that number by 180°, then subtract 360° from the product.
540° - (113° + 80° + 130° + 90°) = ∠A
540° - 413° = 127°
∠A = 127°
<em>Hope this helps,</em>
<em>~ Nicki ~</em>
