The area of triangle will be 12x and perimeter of triangle will be 5x + 14.
The sides of a triangle which is divided into two parts i.e., a right angle triangle and a non-right angle triangle is given in figure.
We have to find area and perimeter of triangle using the data given.
What are the area and perimeter of a triangle ?
The area of triangle is A = [tex]\frac{1}{2}[/tex] × b × h and perimeter is sum of all sides i.e., P = a + b + c.
As per the fig. given in question ;
h = 3x
b = 8
The area of the given triangle will be ;
A = [tex]\frac{1}{2}[/tex] × b × h
A = [tex]\frac{1}{2}[/tex] × 8 × 3x
A = 24x ÷ 2
A = 12x
The perimeter of triangle will be sum of all sides i.e.,
P = x + 9 + 4x - 3 + 8
P = 5x + 17 - 3
P = 5x + 14
Thus , the area of triangle will be 12x and perimeter of triangle will be 5x + 14.
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Seth bought a 12 ounce jar of peanut butter for 3.60 what is the unit price
Answer:
12 ÷ 3.60 = 3.33¢
Step-by-step explanation:
$3.33 per ounce
Solve for x 6(x-1)=9(x+2)
Answer:
-8
Step-by-step explanation:
6(x-1) = 9(x+2)
6x - 6 = 9x +18
-24 = 3x
-24/3 = x
x = -8
Hope this helps!!
Answer:
6(x-1)=9(x+2)
6x-6=9x+18
-18-6=9x-6x
-24=3x
-24/3=3x/3
-8=x
Drag the black dots to move the
like terms next to each other.
Then simplify the expression.
4x-2y + 7-y +5-3x
Answer:
4x - 3x - 2y -y +7 + 5
Step-by-step explanation:
4x-3x =x
-2y-y = (-3y)
7+5 = 12
x-3y+12
what is the midpoint of (4,5) and (9,17)
Answer:
Step-by-step explanation:
Midpoint formula: ( (x1+x2)/2, (y1+y2)/2)
where (x1, y1) and (x2, y2) are our points
Let (x1, y1) = (4, 5)
and (x2, y2) = (9, 17)
x1 = 4
x2 = 9
y1 = 5
y2 = 17
Then ( (4+9)/2, (5+17)/2 ) = (13/2, 22/2) = (13/2, 11)
Eduardo has in his pocket $1 in pennies, $1 in nickels, and $1 in dimes. If he randomly pulls out just one coin, what is the probability that he will pull out a dime?
The probability of picking a dime from the coins in his pocket is 1/13
1 penny = 1 cent
Hence, 100 pennies = $1
1 nickel = 5 cent
20 nickels = $1
1 dime = 10 cent
10 dime = $1
This means that :
Eduardo has :
100 pennies 100 pennies 20 nickels 100 pennies 20 nickels 10 dimesTotal coins = (100 + 20 + 10) = 130 coins
Recall :
Probability = required outcome / Total possible outcomes
P(dime) = number of dimes / total coins
P(dime) = 10 / 130 = 1/13
Hence, the probability of picking a dime = 1/13
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If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
Pls help me in this my math exam is Tom and I wanna know how to solve theese
Step-by-step explanation:
[tex]thank \: you[/tex]
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he start?
(I know the answer to the question but the steps on how to solve for x confuse me)
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
A circle is divided into two sectors in the ratio 3:7. If the radius of the circle is 7cm, calculate the length of the minor arc of the circle
Answer:
13.2cm
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
A) Addition
B) Subtraction
C) Multiplication
D) Exponent
3+16 divided by 4
4 x 7 - 2 x 6 divided by 3
5 (power of 2) - 4 x (2 power of 3) -3)
(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8
Answer:
3+16 divided by 4 is 4.75
4×7-2×6..... is5.33
168
Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
1. Here is an equation that represents a function: 72x +12y = 60. Select all the different equations that describe the same function: A. 120y + 720x = 600 B. y = 5 - 6x C. 2y + 12x = 10 D. y=5 + 6x E. x= 5/6 - y/6 F. 7x + 2y = 6 G. x = 5/6 + 5/6
Answer:
A B C
Step-by-step explanation:
A: you multiplied by 10
B: you divided by 12 and put -6x on the right.
C works. You divided by 6
D is wrong 6x should be minus
E is incorrect. You divided x by 72 You didn't do that to the others.
F is incorrect. I'm not sure what you did, but whatever it was wouldn't leave 7x.
G is wrong. Something happened to the y.
Answer:
consider the point A(-2,0) B(2,1) and C(1-3)
Step-by-step explanation:
determine if the triengle ABC is equilateral isoscles or scalence
solutions to the quadratic equation x^2+3x-28=0
Answer:
look on the graph
Step-by-step explanation:
the solutions are x = -7 and x=4
Answer:
x = -7 ; x=4
Step-by-step explanation:
The easiest way to solve this would be using the quadratic formula, so let's go ahead with that :)
[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-28\right)}}{2\cdot 1}\\x=\frac{-3\pm \sqrt{121} }{2} \\\\x=\frac{-3\pm 11}{2} \\\\x=\frac{-3-11}{2} , x=\frac{-3+11}{2} \\x=-7, x=4[/tex]
Solve. 4x + 3 = 47
A x= 11 B x=40 C x=44 D x=50
Answer:
x=11
Step-by-step explanation:
Divide. Write your answer as a fraction in simplest form. − 10 2/7÷(−4 4/11)=
Hi ;-)
[tex]-10\dfrac{2}{7}:(-4\dfrac{4}{11})=-\dfrac{10\cdot7+2}{7}:(-\dfrac{4\cdot11+4}{11})=\\\\\\=-\dfrac{70+2}{7}:(-\dfrac{44+4}{11})=-\dfrac{72}{7}:(-\dfrac{48}{11})=-\dfrac{72}{7}\cdot(-\dfrac{11}{48})=\dfrac{99}{42}=\boxed{2\frac{15}{42}}[/tex]
what’s the value of n?
Answer:
n=1
Step-by-step explanation:
(√5^5)^5 =5^n
5^1/5×5=5^n
1/5×5=n
5/5=n
n=1
what is the odd number?
Step-by-step explanation:
A whole number that is not able to be divided by two into two equal whole numbers. Example: 1, 3, 5, and 7 are odd numbers
The total number of hours worked during d days for persons working seven hours each day. as a expression
Answer: 7d
Step-by-step explanation:
The total length of a beach is 18.2 kilometers. If lifeguards are stationed every 0.07 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?
There would be 260 lifegurads
The easy way is to divide 18.2 by 0.07 to get your answer
If my answer is wrong pls let me know i try my best to edit and make it right
Three numbers are C, BC, and ADC. The digits B and C are multiples of 3. If C×BC=ADC and A+D=B, find the numbers C, BC, and ADC.
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
what is the answer to this equation. x-8/3=3
Answer:
x − 1 ⋅ 8 /3 = 3
Solve
Step-by-step explanation:
Multiply the numbers
x−1⋅3/8=3
x - 3/8 = 3
Add 8 /3 to both sides of the equation
− 8 /3 = 3
x−3/8=3+ 8/ 3 = 3
Simplify
Solution
= 1 7/ 3
there you go hope this helpedLet A = 0, 1 , B = 2, 3, 4 and C = 3, 5 verity that A x (BUC) = (AXB) U (AXC)
A = {0, 1}
B = {2, 3, 4}
C = {3, 5}
Then we have
A × (B U C)
= {0, 1} × {2, 3, 4, 5}
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and
(A × B) U (A × C)
= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}
(underlined pairs are duplicates and common to both A × B and A × C)
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and these two sets are clearly identical.
How do you solve this and method do you use?
Answer: B. 3x (1 - 3x²)
Step-by-step explanation:
Given
[tex]\frac{9x^4-27x^6}{3x^3}[/tex]
Factorize the numerator
=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]
=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]
Cancel terms in numerator and denominator
=[tex]\frac{3x(1-3x^2)}{1}[/tex]
=[tex]\boxed {3x(1-3x^2)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Your house is located at point L. Your friend's house is located at point N.
M is the midpoint of IN. How far do you need to travel to walk home from
your friend's house?
3x
2x+ 2
M
N
Answer: 12 units
Replace "units" with "feet", "meters", etc. if your teacher instructs it.
==============================================================
Explanation:
M is the midpoint, which means segments LM and MN are the same length. This is because M cut LN in half.
So,
LM = MN
3x = 2x+2
3x-2x = 2
x = 2
Use this x value to then say
LM = 3x = 3*2 = 6MN = 2x+2 = 2*2+2 = 4+2 = 6Segments LM and MN are 6 units each.
From that, we know,
LN = LM+MN = 6+6 = 12
The distance from your house to your friends house is 12 units.
..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75
Given the value of B in the attached photo ,
1. Find the cofactor of matrix B
2. Hence, find the inverse of matrix B
Answer:
answer is in attachment
Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
7) Find EC
16
E-
B
D
С
49
30
Help anyone can help me do this question,I will mark brainlest.
Answer:
Step-by-step explanation:
E ⊂ F ⊂ G