Answers
Answer:
a = 2.5
Step-by-step explanation:
For LMNO to be a parallelogram then opposite sides are congruent, so
ON = LM , that is
8b - 1 = 4b + 7 ( subtract 4b from both sides )
4b - 1 = 7 ( add 1 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Then
MN = 2b + 1 = 2(2) + 1 = 4 + 1 = 5 , so
2a = 5 ( divide both sides by 2 )
a = 2.5
Thus
For LMNO to be a parallelogram , a = 2.5
The value of a that makes LMNO a parallelogram is 5/2.
What is a parallelogram?A parallelogram is a quadrilateral that has two pairs of parallel sides.
In a parallelogram, opposite sides and angles are equal.
The adjacent angles add up to 180 degrees.
We have,
In a parallelogram, the opposite sides are parallel and equal.
This means,
4b + 7 = 8b - 1
7 + 1 = 8b - 4b
8 = 4b
b = 2
Now,
2a = 2b + 1
2a = 2 x 2 + 1
2a = 4 + 1
2a = 5
a = 5/2
Thus,
The value of a is 5/2.
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Related Questions
Can someone please give me the answer to this please:(
I will give the first person who answer it correct a brainliest
I need the answer ASAP!!!!!!!!
Answers
You didn't ask a question or put a picture on this
A car travels 30 1/5 miles in 2/3 of an hour.What is the average speed in miles per hour of the car
[tex]Your answer=[/tex]
Answers
Answer:
The speed of car is 45.3 miles per hour.
Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
Answers
Answer:
m∠A = 50°
m∠B = 70°
m∠C = 60°
Step-by-step explanation:
Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
In a Triangle, the sum of the interior angles of a triangle = 180°
Step 1
We solve for x
Hence:
m∠A + m∠B + m∠C= 180°
(x-10)°+ (2x-50)°+ x° = 180°
x - 10 + 2x - 50 + x = 180°
4x - 60 = 180°
4x = 180° + 60°
4x = 240°
x = 240°/4
x = 60°
Step 2
Solving for each measure
x = 60°
m∠A=(x-10)°
= 60° - 10°
= 50°
m∠B=(2x-50)°
= 2(60)° - 50°
= 120° - 50°
= 70°
m∠C=x°
= 60°
If Jake's height from birth (measured in inches) can be modeled by the Linear Regression Equations y = 4.3x +19, with x representing his age in years after birth What does this slope mean in the context of the problem
Answers
create an equation to match my polynomial
Answers
3( 5x+10x -2)=
I NEED HELP
Answers
Answer:
45x-6
Step-by-step explanation:
math
way
Step by step answer:
3(5x+10x-2)
3•5x=15x
3•10x=30x
3•-2=-6
15x+30x=45x
So then just put the -6 after 45x
45x-6
why doesn't an elephant smoke?
its the bottom columns i need help with i just need like the words....
Answers
Answer:
i tried looking it up but i just got this far
Step-by-step explanation:
Can Someone help me to answer the question
Answers
Answer: X = -4
Step-by-step explanation:
90 - 5x + 62 -2x = 180
152 - 7x = 180
-7x = 28
x = -4
Check your answer by pluging in the vaule of x
90 - 5(-4)
90 + 20 = 110
62 - 2(-4)
62 + 8 = 70
110 + 70 = 180
Checks out.
Answer: 110 degrees and 70 degrees
Step-by-step explanation:
These angles are same side (of the traversal line) interior (inside the parallel lines) angles. Same side interior angles sum to 180 degrees. Add the two angles together and set them equal to 180. (90-5x) + (62-2x) = 180
Combine like terms. 90+62= 152 and -5x + -2x = -7x rewrite the equation as 152 + -7x = 180
Subtract 152 from both sides of the equation.
-7x = 28. Now isolate x by dividing both sides by -7. X= -4. Now we can substitute -4 back into the original equations. 90 -5(-4) = 90 +20 = 110 and 62 - 2(-4) = 62 + 8 = 70
We can double check our work to see if these two indeed add up to 180. 110 + 70 = 180
What is the surface area, measured in square
centimeters, of the shape below? Do not include
units in your answer.
3 cm
6 cm
5 cm
Answers
Answer:
SA = 126 square cm
Step-by-step explanation:
SA = 2(l · w) + 2(h · w) + 2(l · h)
SA = 2(5 · 6) + 2(6 · 3) + 2(5 · 3)
SA = 60 + 36 + 30
SA = 126 sq cm
The surface area of the cuboid box is S = 126 cm²
What is the surface area of cuboid?
A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The total surface area of the cuboid is given by the formula
Surface Area = 2 ( LH + LW + HW )
where ,
Length of the cuboid = L
Width of the cuboid = W
Height of the cuboid = H
Given data ,
Let the surface area of cuboid be S
Length of the cuboid = L = 6 cm
Width of the cuboid = W = 5 cm
Height of the cuboid = H = 3 cm
On simplifying , we get
Surface Area = 2 ( LH + LW + HW )
S = 2 ( ( 6 x 5 ) + ( 6 x 3 ) + ( 5 x 3 ) )
S = 2 ( 30 + 18 + 15 )
S = 2 ( 63 )
S = 126 cm²
Hence , the surface area is S = 126 cm²
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Please help asap ll give brainliest!!!!!
Question 1
Evaluate
2y+8fory=−2
------------------------------------------------------------------------------------------------------------------------
Question 2
Evaluate
−5x+6forx=−8
-----------------------------------------------------------------------------------------------------------------------
Question 3
Evaluate
3r−2s+12forr=10ands=4
--------------------------------------------------------------------------------------------------------------------
Question 4
Evaluate
6y−4x−9forx=6andy=−3
-----------------------------------------------------------------------------------------------------------------------------
Question 5
Translate the expression
a number t decreased by 13
------------------------------------------------------------------------------------------------------------------------------
Question 6
Translate the expression
six times a number y
Group of answer choices
6y
6-y
6+y
6/y
---------------------------------------------------------------------------------------------------------------------------
Question 7
Translate the expression
three more than four times a number p
Group of answer choices
4p+3
3(4+p)
3p+4
(3+4)p
-------------------------------------------------------------------------------------------------------------------
Question 8
Translate the expression
two times a number v decreased by 7
Group of answer choices
2(v-7)
2v-7
2(7-v)
(2v)-7
----------------------------------------------------------------------------------------------------------------------
Question 9
Translate the expression
six times the sum of seven and a number x
Group of answer choices
6x+7
6(7+x)
7+6+x
6(7)+x
----------------------------------------------------------------------------------------------------------------------
Question 11
Simplify the expression
-8b-10b+7
-----------------------------------------------------------------
Question 12
Simplify the expression
13 + 7t -9
---------------------------------------------------------------------------------------
Question 13
Simplify the expression (remember to write the variables in alphabetical order)
-9n-8m+8-3n+6m-2
Flag this Question
Question 141 pts
Simplify the expression
-5x+3y+9x+7
---------------------------------------------------------------------------------------------------------------------
Question 15
Bonus Question (3 pts extra credit)
Simplify and evaluate the expression for x=2 and y=-4
-2y+4x-3y+6x-12
Answers
Answer:
Step-by-step explanation:
A lot to answer here, so lets get straight into it.
Question 1 :2y + 8 for y = -2
We just need to substitute :
2(-2) + 8
-4 + 8
4
Question 2 :
-5x + 6 for x = -8
Substitute :
-5(-8) + 6
40 + 6
46
Question 3 :
3r - 2s + 12 for r = 10 and s = 4
Substitute :
3(10) - 2(4) + 12
30 - 8 + 12
22 + 12
34
Question 4 :
6y - 4x - 9 for x = 6 and y = -3
Substitute :
6(-3) - 4(6) - 9
-18 - 24 - 9
-42 - 9
-51
Question 5 :
A number t decreased by 13
t - 13
Question 6 :
Six times a number y
6y
Question 7 :
Three more than four times a number p
4p + 3
Question 8 :
Two times a number v decreased by 7
2v - 7
Question 9 :
Six times the sum of seven and a number x
6(7 + x)
Question 11 :
-8b - 10b + 7
-18b + 7
Question 12 :
13 + 7t - 9
13 - 9 + 7t
4 + 7t
Question 13 :
-9n - 8m + 8 - 3n + 6m - 2
-9n - 3n = -12n
-8m + 6m = -2m
8 - 2 = 6
-2m - 12n + 6
Question 141? :
-5x + 3y + 9x + 7
-5x + 9x = 4x
3y = 3y
7 = 7
4x + 3y = 7
Question 15 / Bonus :
-2y + 4x - 3y + 6x - 12 for x = 2 and y = -4
Substitute :
-2(-4) + 4(2) - 3(-4) + 6(2) - 12
8 + 8 + 12 + 12 - 12
16 + 12 + 12 - 12
28 + 12 - 12
40 - 12
28
What is an equation in point-slope form of the line that passes through the point (6,-2) and has a slope of 3?
Answers
Answer:
y+2=3(x-6)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-2)=3(x-6)
y+2=3(x-6)
I paid $42 for six hot chocolate bombs what is the unit rate price for one item 
Answers
Answer:
$7
Step-by-step explanation:
Identify the sum of the interior angle measures of a convex octagon.
O 1080°
O 1260°
O 1620°
O 1440°
Answers
Therefore, (8 - 2)*180
Which equals to 6(180) or 1080
Hope this helps! :)
The sum of the interior angle measures of a convex octagon is 1080. the correct option is A.
What is an octagon?An octagon is an 8-gon, or polygon with eight sides, in geometry. The Schläfli symbol for a regular octagon is 8, and it can also be built as a nearly regular truncated square.
The interior angle will be calculated as,
Angle = (n - 2) x 180
Angle = ( 8 - 2 ) x 180
Angle = 1080
Therefore, the sum of the interior angle measures of a convex octagon is 1080. the correct option is A.
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a) Which of the shapes is a heptagon?
b)Which of the shapes is a septagon?
c)
Which of the shapes is an nonagon?
Answers
Answer:a) Which of the shapes is a heptagon?
Step-by-step explanation:a) Which of the shapes is a heptagon?
Tanya is n years old today. How old will she be in 5 years
Answers
Answer:
n+5
Step-by-step explanation:
Answer:
n + 5 or 5 + n
Step-by-step explanation:
add 5 to n, tanya's current age, to find how old she'll be in 5 years.
since the variable n is not defined, the answer cannot be simplified further than n + 5.
if n had been defined, you would be able to figure out her exact age after 5 years, which would be the fully simplified answer. for example, if n were to equal 10, then tanya would currently be 10 years old. by plugging in 10 for n in n + 5, you would figure out that in 5 years (aka 10 + 5) tanya would be 15.
i hope this helped! have a great day <3
Find the sine of ∠E.
Answers
Answer:
solution
by using pythagorus theorem
h^2 =p^2 +b^2
10^2 = p^2 +under root 82 squaretherefore p is equal to[tex]3 \sqrt{2} \\ [/tex]
sine E =p/h
=
[tex]3 \sqrt{2} \div 10[/tex]
adj = √82
√82 ² + opp² = 10²
82 + opp² = 100
opp² = 100-82
opp = √18
Sin E = √18 / 10
E = 25.6°
I need this answer ASAP
Answers
Answer:
B) 40
Step-by-step explanation:
2:10 2 out of 10
40:200 40 out of 200
ABCD ~ FECG
Y=
Please helpp
Answers
=========================================================
Explanation:
Notice how EC = 5 doubles to BC = 5+5 = 10
So the larger quadrilateral (ABCD) has side lengths that are exactly twice as long compared to the smaller quadrilateral's sides. We can say the scale factor is 2.
This must mean that side FG = 4 doubles to 4*2 = 8, which is the length of side AD. So that's how we get y = 8.
-----------------------------------
Extra info:
x = 12 because side EF = 6 doubles to this value. w = 120 because the corresponding angles of ABCD pair up with FECG, so we see that angle D = angle G = 120.z = 80 because we solve F+E+C+G = 360 to find that F = 80, which leads to angle A = 80 as well.Length of AD, y = 8
What are similar quadrilateral?Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.
Given,
EC = 5
FG = 4
BE = 5
AD = y
ABCD ~ FECG,
then ratio of the corresponding sides will be equal.
BC/AD = EC/FG
(BE + EC)/AD = EC/FG
(5 + 5)/y = 5/4
10/y = 5/4
5y = 40
y = 40/5
y = 8.
Hence, 8 is value of y that is length of AD.
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for the expression 2x²+28+93/(x+6)³, which sum represents the correct form of the partial fraction decomposition?
Answers
Answer:
Option-3
Step-by-step explanation:
edge
A sign along the road has these measurements. What is the area of the sign? 35 and 20
Answers
Answer: 700
Step-by-step explanation:
35 x 20 = 700
Answer:
350
Step-by-step explanation:
b
If 3x- 9y= -5 is a true equation, what would be the value of 4(3x – 9y)?
Answers
pls help with this problem if u do thx <3
Answers
======================================
Work Shown:
c = price of coat before discount
0.33c = discount = amount you save
c - 0.33c = original price minus discount = final price
c - 0.33c = 1c - 0.33c = (1-0.33)c = 0.67c = final price
In short, c - 0.33c = 0.67c
They are two ways of expressing the same thing.
You can think of it like saying 100% - 33% = 67%
If you save 33%, then you still have to pay the remaining 67% of the original cost.
-------------
Example:
Let's say the coat is $100 before the discount
c = 100
0.33*c = 0.33*100 = 33 dollars is how much you save
c - 0.33c = 100 - 33 = 67 dollars is the final price
0.67c = 0.67*100 = 67 matches with the previous figure above
what is a decimal that is equivalent to the fraction 93/100
Answers
Find the sum of the Arithmetic Series on the picture.
Answers
Answer:
Step-by-step explanation:
The sum of the sequence is the average of first and last terms times the number of terms.
(3n+4) for 3rd and 7th terms and the number of terms is 7-3+1=5 so
(13+25)5/2
38(5/2)
19(5)
95
i give you brainline if you hep me its ez
Answers
Answer: 2 1/6
Step-by-step explanation:
13/6 simplified is 2 1/6
Plz help me i just need the name..thankyou!
Answers
Answer:
You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!
Evaluate 81.4 % of 58.81 km Give your answer rounded to 2 DP.
Answers
Answer:
47.87
.................
Can you guys please help me with these 3 problems I’m struggling.
Answers
Answer:
Question 1: 6
Question 2: 15
Sorry I dont know the last one but the other ones are correct
Step-by-step explanation:
4.25m + 7 + 6.75m - 11 =
Answers
Answer: 7
Step-by-step explanation:
4.25+6.75=11
11+7=18
18-11=7
Answer:
11m-4
Step-by-step explanation:
Add 4.25m and 6.75m= 11m
7+-11= -4
peopl3 what is x÷2=6.5
Answers
Answer:
X=13
Step-by-step explanation: