Answer: AB=20, BC=14
Step-by-step explanation:
set AB together with the side congruent to it (which is DC)
3x-7=x+11
subtract x and add 7 to both sides
2x=18
divide both sides by 2
x=9
plug 9 in for AB.
3(9)-7
27-7=20.
now do the same for BC
Answer:
AB = 20
BC = 14
Step-by-step explanation:
ABCD is a parallelogram
Opposite sides of a parallelogram are equal.
Therefore,
AB = DC
3x - 7 = x + 11
3x - x = 11 + 7
2x = 18
x = 18/2
x = 9
AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20
7y - 7 = 3y + 5
7y - 3y = 7 + 5
4y = 12
y = 12/4
y = 3
BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14
2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.
Answer:
13.26 * 6 =79.56
Step-by-step explanation:
URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.
Answer:
y>5−2x/3
Step-by-step explanation:
Can some one solve 2 I’ll give a crown
Answer:
Hi! The correct answer is 16!
Step-by-step explanation:
~Use the formula (b/2)^2 in order to create a new term to complete the square~
Answer:
the answer is option : c 16
a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?
Answer:
Speed of boat in still water = 40 mph
Rate of current = 10 mph
Step-by-step explanation:
Let the speed of boat in still water be x & let the speed of the stream be y.
Total Distance = 150 miles
Time taken to travel during upstream = 5 hrs
Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]
Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.
Time taken to travel during downstream = 3 hrs
Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]
Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.
We got a pair of linear eqns. Let [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,
From eqn.1 , [tex]x-y=30[/tex]
[tex]=> x = y + 30[/tex]
Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]
[tex]=> y + 30 + y = 50[/tex]
[tex]=> y + y = 50-30[/tex]
[tex]=> 2y = 20[/tex]
[tex]=> y = \frac{20}{2} = 10\: mph[/tex]
Putting y in eqn.1 ,
[tex]x - 10 = 30[/tex]
[tex]=> x = 30 + 10 = 40 \:mph[/tex]
Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph
Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?
A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards
Answer:
125
Step-by-step explanation:
First you want to find out the difference between Randy and Phil:
120 - 95 = 25
Then, multiply that by five:
25 × 5 = 125
Hope this helps
Answer:
Davis owns 125 cards
Step-by-step explanation:
120 - 90 = 25 x 5 = 125
please help!!! ill give brainliest
Answer:
Step-by-step explanation:
divide the number then add on
You can solve this using the Quadratic Formula, x =.
a = 1, b = -12, c = 59
x = Multiply 4 and 1
x = Multiply 2 and 1
x = Multiply -4 and 59
x = Square 12
x = Subtract
x = You can't find the square root of negatives, so factor the -92 out.
x = You can find the square of 4, so take that out.
x = Split the expression into two parts
x = (+ or -) The 2 in the numerator and the 2 in the denominator cancel each other out
x = (+ or -) Divide 12 by 2
x = 6 (+ or -) Now, split the solution into the plus and minus parts.
In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?
1.125°
2.115°
3.65°
4.55°
Answer:
3.) 65
Step-by-step explanation:
180-125=55
55+60= 115
a triangle equals 180
180-115=65
The sum of all the angles in a triangle is 180 degrees.
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
What is the sum of angles in a triangle?The sum of all the angles in a triangle is 180 degrees.
We have,
Line RCBT and ΔABC.
From the diagram, we see that,
In ΔABC,
m∠A + m∠B + m∠C = 180 ___(1)
m∠CBT = 180
m∠CBA + m∠ABT = 180
m∠CBA + 125 = 180
m∠CBA = 180 - 125
m∠CBA = m∠B = 55 ____(2)
m∠BCR = 180
m∠BCA + m∠ACR = 180 ____(3)
From (1) and (2) we get,
m∠A + m∠B + m∠C = 180
60 + 155 + m∠C = 180
m∠C = 180 - 60 - 55
m∠C = 65 ____(4)
From (4) we get,
m∠ACR = 65
Thus,
The value of the m∠ACR is 65°.
Option 3 is the correct answer.
Learn more about angles here:
https://brainly.com/question/28793979
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Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P
Answer:
me dont know solve it your self HAHAHHH loser
Step-by-step explanation:
Evaluate the function when x=−2, 0, and 5. g(x)=3x−2
The values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.
The given function is g(x)=3x-2.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Put x=-2 in the given function, we get
g(-2)=3(-2)-2
= -6-2
= -8
Put x=0 in the given function, we get
g(0)=3(0)-2
= -2
Put x=5 in the given function, we get
g(5)=3(5)-2
= 15-2
= 13
Therefore, the values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
can
Someone
Help
Me
Answer:
slope is -3
Step-by-step explanation:
slope formula m= rise/run= y2-y1/x2-x1
Which is a like radical to 3sqrt54 after simplifying?
Answer:
Step-by-step explanation:
r4345456r776i7o7865
Answer:
[tex]\sqrt[3]{54}[/tex] = 3 [tex]\sqrt[3]{2}[/tex]
Step-by-step explanation:
this is the radical after simplifying
Find the distance between point A and point B. Round your answer to the nearest tenth (one place after the decimal). *
Answer:
The distance of two points = 6 √2 = 8.4852
Step-by-step explanation:
Explanation:-
From the graph
Given points are A ( 4,2) and B ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
( x₁ , y₁ ) = ( 4,2 ) and (x₂ , y₂) = ( -2 , -4)
The distance formula
= [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]
=[tex]\sqrt{(-2 -(4))^{2} + (-4 - (2))^{2} }[/tex]
= [tex]\sqrt{36+36} = \sqrt{72} = 6\sqrt{2}[/tex]
Final answer:-
The distance of two points = 6 √2 = 8.4852
Pls help and show workings due ASAP
Answer:
A
Step-by-step explanation:
By triangle inequality,
L < 15+6
15 < L+6
6 < L+15
Solving these, we get 9 < L < 21.
Only 10 falls within the range.
The answer is therefore 10cm i.e. A.
Meryl needs to cut down 10.5 trees for every 5 cabins she builds.
Complete the table using equivalent ratios.
Number of trees Number of cabins
10.5 5
__ 3
__ 7
Answer:
for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(
Answer:
3) 6.3
7) 14.7
Step-by-step explanation:
Use ratios to solve the table
10.5/5 = x/3
cross multiply
31.5 = 5x
x = 6.3
10.5/5 = x/7
73.5 = 5x
x = 14.7
what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)
Answer: B.
Step-by-step explanation:
Urgent please help, will give brainliest
Answer:
the answer is x=9
Step-by-step explanation:
Step-by-step explanation:
the answer was x=9 wish you luck on your homework and tests
25 penalties decreased by 32% is
penalties.
Answer:17
Step-by-step explanation:
B(3x -4) A(9x + 17) C(6x -31) solve for all angles
Answer:
11
Step-by-step explanation:
Don't worry I just know
All of the following expressions represent the sum of n and itself, except _____.
a.n + n
b.2n
c.n2
solve for x 8/x +1/5 = 3/x
Answer:
I think x=-25
Step-by-step explanation:
Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?
Answer:
Jack took 10 pictures on his bike ride.
Step-by-step explanation:
Given that:
Given measurements of sides are 3 miles and 4 miles
We will find the distance of the new route by using Pythagorean theorem.
[tex]a^2+b^2=c^2[/tex]
(3)² + (4)² = c²
9 + 16 = c²
25 = c²
c² = 25
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]
The distance of new route = 5 miles
Picture taken per mile = 2
Picture taken on bike ride = 2*5 = 10 pictures
Hence,
Jack took 10 pictures on his bike ride.
Find the value of x
a. 65
b. 48.7
c. 77
d. 39.3
Answer:
65 but I not really to sure so A
I need help I’m failing
Answer:
D
Divide both by 3
Step-by-step explanation:
Help please I need help on this problem,appreciate it :)
Rewrite (squareroot n^5 p^8)
as an exponential expression
Answer:
the answer is the option : D
I need help it’s hard
Please help me I need it!!!!
Answer:
d
Step-by-step explanation:
because it starts off under the water which is -24 then you add a positive 24 to get to sea level
Answer:
the distance above sea level after increasing 24 meters from a depth of 24 meters below sea level
Step-by-step explanation:
equation- -24m + 24m = 0
the answer to the first one is -10 (-5 - 5 - -10)
the answer to the second one is 1,000 (0 + 1,000 = 1,000)
the answer to the third one is 10 ( 20 - 10 = 10)
the answer to the fourth one is 0 (-24 + 24 = 0)
Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0
Answer: is point B
Step-by-step explanation:
Answer:
Step-by-step explanation:
the answer is B
y=(1/3)•(16)x
a.Exponential growth
b.Exponential Decay
Answer:
the answer should be A for this question
the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b
Answer:
14/12/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).
Step-by-step explanation:
Answer:
a = -4, b = 3
Step-by-step explanation:
sorry, im a bit late but hoping to help others that need the answer.
when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.
in this form, p is the opposite of the x coordinate.
and q is the same as the y coordinate.
to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.
we get: (x-2)^2+1
lets complete the equation now.
(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.
now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:
A = -4
B = 5
if i am wrong please feel free to correct me, ty.
If m∠2 = 120°, what is m∠7?