Answer:
p + q = 20
Step-by-step explanation:
Given the lines intersect at (1, 1 ) then x = 1 and y = 1 make the equations true.
Consider
px = 12 with x = 1
p = 12
Consider
2x + qy with x = 1 and y = 1
2 + q = 10 ( subtract 2 from both sides )
q = 8
Hence p + q = 12 + 8 = 20
Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,
By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;
therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB
The coordinates of point K(7, 0).
Given, JK has midpoint M(7, 2).
And, the coordinates of point J(7, 4).
We have to find the coordinates of point K.
As M is the midpoint, therefore by using the midpoint formula.
(xₙ + yₙ) = (x₁ + x₂/2 , y₁ + y₂/2)
Using x-coordinates,
xₙ = x₁ + x₂/2
7 = x₁ + 7/2
14 = x₁ + 7
or x₁ = 7
Nos using y-coordinates,
yₙ = y₁ + y₂/2
2 = y₁ + 4/2
4 = y₁ + 4
y₁ = 0
Therefore, the coordinates of point K(7, 0).
The coordinates of J(7, 4); K(7, 0); and M(7, 2).
To learn more about midpoints, visit: brainly.com/question/4637646
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Answer:
405 bagels 27 an hour
Step-by-step explanation:
this is because when you divide 270 by 10 you get 27 which is how much per hour then multiply the # of bagels and the # of hours you get is 405. In other words you first want to know how many bagels it took to get to 270 bagels in 10 hours.Hope it helped.
Answer:
21
Step-by-step explanation:
