Answer: x= 98°
Step-by-step explanation:
Concept:
Here, we need to know the concept of the "Exterior Angle theorem"
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two opposite angles of the triangle.
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
x = 53 + 45 = 98°
Hope this helps!! :)
Please let me know if you have any questions
Which algebraic expression is a difference with two terms?
A. 3y+1
B.-2y+5+3
C. 5y-7
D.5(y-6)
Answer:
1.
C. 5y -7 is an algebraic expression difference with two terms.
Marina correctly simplified the expression , assuming thatHer simplifed expression is below.
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]
[tex]\frac{b^{4}}{b^{-3}}=b^{4-(-3)}=b^{4+3}=b^{7}[/tex]
Answer:
7
Step-by-step explanation:
What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5
Answer:
y = 2x+6
Step-by-step explanation:
y = 2x + 5
This line is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 2. Parallel lines have the same slope
y = 2x+b
Using the given point and substituting it into the equation
2 = 2(-2) +b
2 =-4+b
Add 4 to each side
2+4 = -4+b+4
6 = b
y = 2x+6
3. Which equation has non-real solutions?
a. 5x2 - 4x – 9 = 0
b. 2x2 - X -1 = 0
c. 6x2 + 11x + 17 = 0
d. 7x2 + 4x – 7 = 0
Answer:
c
Step-by-step explanation:
because 11x + 17 = 3x
A recipe for sugar cookies calls for 2 1/2 cups of sugar for 36 cookies. How much sugar would be needed for 48 cookies?
Answer:
[tex]3 \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{\frac{5}{2} }{36} = \frac{x}{48}[/tex]
36x = 5/2 * 48
36x = 120
[tex]x = 3 \frac{1}{3}[/tex]
The amount of sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
It is given that a recipe of sugar cookies needed [tex]2\frac{1}{2}[/tex] cups of sugar for 36 cookies.
We have to find out the amount of sugar needed for 48 cookies.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Sugar required for 36 cookies = [tex]2\frac{1}{2}[/tex] cups
Sugar required for 1 cookies
= [tex]2\frac{1}{2}[/tex] ÷ 36 cups
= [tex]\frac{5}{2}[/tex] ÷ 36
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex]
So , the sugar required for 48 cookies will be equal to ;
= [tex]\frac{5}{2}[/tex] × [tex]\frac{1}{36}[/tex] × 48
= [tex]\frac{240}{72}[/tex]
= [tex]\frac{10}{3}[/tex]
or
[tex]3\frac{1}{3}[/tex] cups
Thus , the sugar needed for 8 cookies will be equal to [tex]3\frac{1}{3}[/tex] cups.
To learn more about unitary methods click here ;
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x + y = 3 . If y = 3, find the value of x
Answer:
0
Step-by-step explanation:
x + y = 3
y = 3
=> x + 3 = 3
=> x = 3 - 3
=> x = 0
What is the missing angles?
Step-by-step explanation:
x = ??
y = 72 + 40 = 112
x =112 - 180
x = 180-112
x = 68
or = 180 - 72 = 108
180 - 40 = 140
140 - 108 = 32
HELP PLEASEEEEEEE ASAP
Answer:
p=9
r=18
Step-by-step explanation:
PLSSS HELP ME SOLVE THIS ABSTRACT REASONING QUESTION
I thought it was d but apparently its A and i don't understand!!
Answer:
A
Step-by-step explanation:
From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.
what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place
Answer:
Volume of cylinder
= π r² h
3.14 × 5×5×5392.5= 392.9 ft³OAmalOHopeO
Answer:
The volume of the cylinder would be approximately 392.5 ft^3
Step-by-step explanation:
Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.
The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.
Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.
Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.
Solve the triangle. Round decimal answers to the nearest tenth.
pls pls help me answer
Which shows the equation below written in the form ax2 + bx+c = 0?
x*2+7x+ 9 = 3
Hi!
x² + 7x + 9 = 3
x² + 7x + 9 - 3 = 0
x² + 7x + 6 = 0
Answer:
x^2+7x+ 6 = 0
Step-by-step explanation:
x^2+7x+ 9 = 3
Subtract 3 from each side
x^2+7x+ 9-3 = 3-3
x^2+7x+ 6 = 0
the product of 5 and x subtracted from the sum of y and 3
Step-by-step explanation:
The product of 5 and x subtracted from the sum of y and 3 :
Product of 5 and x :
[tex]5 \times x = 5x[/tex]
Sum of y and 3 :
[tex]y + 3[/tex]
The product of 5 and x subtracted from the sum of y and 3 :
[tex](y + 3) - (5x)[/tex]
Answer:
y+3 - 5x
Step-by-step explanation:
the product of 5 and x
5x
the sum of y and 3
y+3
Subtract 5x from (y+3)
y+3 - 5x
Select the correct answer.
The product of two numbers, x and x+ 3, is 550. Which equation could be solved to find the value of the smaller number, x?
Answer:
C) x^2 + 3x
Step-by-step explanation:
The equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
How to determine the equation?The numbers are given as: x and x + 3
The product of these numbers is 550.
So, we have:
x * (x + 3) = 550
Expand
x^2 + 3x = 550
Hence, the equation that could be solved to find the value of the smaller number, x is x^2 + 3x = 550
Read more about quadratic equations at:
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the total cost of the tiles is £68 plus VAT
the rate of VAT is 20%
(b) work out 20% of £52
Answer:
a) 81-6
b) 10.4
Step-by-step explanation:
a) assuming that the VAT is 20% of the 68 pounds,
you calculate 120% of 68 (convert percentage to decimal)
= 1,20 * 68 = 81.6 pounds
or
calculate 20% of 68 pounds and add the answer to 68 pounds:
(0.2 * 68) + 68 = 81.6 pounds
b) 20% of 52
first convert the percentage to decimals:
0.2 * 52 = 10.4 pounds
Give the order of symmetry from the fig 3
a)2
b)3
c)6
d)4
please help, ill give 69 points <33
Your credit card has a limit of $4,925. To maintain an acceptable debt ratio (50%), what is the maximum balance you can have on the card?
given that the value of circumference of a circle is 2/3 of its area. determine the length of the radius of the circle!
____________
Step-by-step explanation:
circumference = 2.π.rarea = π.r²So:
⅔ × π.r² = 2.π.r
3 = πr²/πr
3 = r
r = 3
#mathisfun
Please help me answer this question it's part of my question that are due today please please help
Answer:
around 82.75
Step-by-step explanation:
What does the question mean? For the blank
Answer:
Absolute value.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \sqrt{s^2}[/tex]
The square root and the square will cancel. This yields:
[tex]=|s|[/tex]
We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.
In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.
For instance, say s = -7, then:
[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]
However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.
the function y=-2(x-3)^2+4 shows the daily profit of a hot dog stand, where x is the price of a hot dog where x is the price of a hot dog
Step-by-step explanation:
the answer is in the image above
pls give me brainliest
The value of the expression 2x^2/x(100-15x) when x=5 is
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex]2({5}^{2}) \div 5(100 - 5(15))[/tex]
[tex]50 \div 25 \times 5[/tex]
[tex]50 \div 125[/tex]
[tex]2 \div 5[/tex]
Can anyone explain this to me?
Answer:
$7, 657
Step-by-step explanation:
Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial amount of the loan is then subtracted from the resulting value.
Simplify 6 to the -3 power over 6 to the fifth power.
Pls answer quick. Thank U very much.
Answer:
1/1679616
Step-by-step explanation:
Answer:
Step-by-step explanation:
6^-3/6^5 = 6^-8 = 5.95 x 10^-7
(URGENT PLEASE HELP)
The vertex of this parabola is at (5, 5). When the x-value is 6, the
y-value is -1. What is the coefficient of the squared expression in the parabola's equation?
a) 4
b) -6
c) 6
d) -4
Answer:
-6
Step-by-step explanation:
A parabola is vertex form is written as
y = a(x-h)^2 +k where (h,k) is the vertex
Substituting in the vertex
y = a(x-5)^2 +5
We know a point on the parabola so we can find a
-1 = a( 6-5)^2 +5
-1 =a(1)^2+5
-1 = a +5
Subtract 5 from each side
-1-5 = a
-6 =a
Help
I really need help pls
Answer
Mandisa uses more balloon per animal.
Amira and Mandisa made the same amount of balloon animals.
Explanation
Mandisa uses 5 balloons per animal.
You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.
Amira and Mandisa made the same amount of balloon animals.
Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.
If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.
Check out this cube: 3 Find the surface area of the cube (above) using its net (below
Answer:
54
Step-by-step explanation:
Surface area of a cube = 6a²
Where,
a = edge = 3
Surface area of a cube = 6a²
= 6 * (3)²
= 6 * (3 * 3)
= 6 * 9
= 54
Therefore,
The Surface area of the cube = 54
Insert parentheses where needed so that the result of the expression is 2.
45-25 ÷2x2+2
Answer:
(45 - 25) / 2 × (2 + 3)
Step-by-step explanation:
Given:
45 - 25/2 × 2 + 3
By trials:
(45 - 25) / (2 × 2) + 3
= 20/4 + 3
= 20/7
Another trial:
(45 - 25)/2 × (2 + 3)
= 20/2 × 5
= 20/10
= 2
The parentheses should be inserted like this
(45 - 25) / 2 × (2 + 3)
2x^3x8x^8= ?
Help plzz
Answer:
16x^11
Step-by-step explanation:
2x^3 x 8x^8
= 2 x 8 ( x^8 x x^3 )
= 16 ( x ^8 + 3 )
= 16x^11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]