Step-by-step explanation:
Letthenumberofpensbexand
numberofpencilsbey
then
x+y=16ory=16−x
andtheirvalue
8x+1.5y=50
8x+(
2
3
)(16−x)=50
8x+24−(
2
3
)x=50
8x−(
2
3
)x=50−24
(
2
13x
)=26∴x=4
theny=16−x=16−4=12
Answer:
D
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle will always total 180.
Therefore:
Let’s solve for <em>x: </em>
Combine LIke Terms:
Add:
Subtract 80 from both sides:
Divide both sides by 25:
Therefore, the value of <em>x </em>is 4.
Now, to find A, we can substitute it for A.
A is measured by:
Substitute 4 for <em>x</em> and evaluate:
Hence, our answer is D.
Answer:
1, 3, 4
Step-by-step explanation:
Among these answer choices, you're looking for two expressions separated by a minus sign. Choice 2 is only one expression, so does not meet the required criterion.
1. 6(x+7)-2
3. 4f-2g
4. 3xyz-10
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
Answer:
Step-by-step explanation:
To factor the equation, break it into two binomials which multiply to make the equation. To write these binomials (x+a)(x+b), find factors which multiply to -20 and add to -1 for a and b.
20: 1, 2, 4, 5, 10, 20
-5+4 = -1
