Answers
Answer:
x = 23
Step-by-step explanation:
Same-side interior angles are supplementary (they add to 180°).
Using this knowledge, we can construct the equation:
(2x + 25)° + (3x + 40)° = 180°
First, combine like terms.
(2x + 3x)° + (25 + 40)° = 180°
5x° + 65° = 180°
Next, subtract 65° from both sides.
5x° = (180 - 65)°
5x° = 115°
Then, divide both sides by 5.
x° = (115/5)°
x° = 23°
Finally, remove the degrees from both sides.
x = 23
Related Questions
1. If A = {1, 2, 3,4}, B = {3,4,5,6}, C = {1, 2, 4, 6, 7}, then find i) AUB ii) BUC iii) (AUB)UC v) An(BNC) vi) AU(BUC) iv) AN(BUC)
Answers
Answer:
i) AUB={1,2,3,4,5,6}
ii) BUC={1,2,3,4,5,6,7}
iii)(AUB)UC={1,2,3,4,5,6,7}
iv) {1,2,3,4}
v) {4}
vi){1,2,3,4,5,6,7}
Step-by-step explanation
AUB means all the elements belongs to a and b
AnB means elements common to both sets
Please help me with this.
Answers
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Area of composite shapes
Find the area of the shape shown below.
Answers
Answer:
32 units
Step-by-step explanation:
The large triangle on top has an area of 20, cause 4*10 = 40
40/2 = 20.
the square on the bottom has an area of 4, well, cause 2*2 = 4.
The smaller triangle on the left has an area of 2, cause 2*2=4
4/2=2
The triangle on the right, has an area of 6, because 6*2=12
12/2=6
20+4+2+6 = 32
Answer:
32 Units =)
Step-by-step explanation:
Find the Area of the figure below, composed of a rectangle with a semicircle
removed from it. Round to the nearest tenths place.
Answers
Answer:
Area of the figure = 25.7 units²
Step-by-step explanation:
Area of the given figure = Area of rectangle ABCD - Area of the semicircle with diameter CD
Area of the rectangle ABCD = Length × Width
= BC × AB
= 8 × 4
= 32 units²
Area of the semicircle = \(\frac{1}{2}\pi r^{2}\)
Here, r = radius of the semicircle
r = \(\frac{\text{Diameter}}{2}\)
r = \(\frac{1}{2}(CD)\)
r = \(\frac{4}{2}\)
r = 2 units
Therefore, area of the semicircle = \(\frac{1}{2}\pi (2)^2\)
= 2π
= 6.28 units²
Area of the given figure = 32 - 6.28
= 25.72 units²
≈ 25.7 units²
The heights of the girls in Leila’s class to the nearest 1/2 inch are: 56 1/2,57,56 1/2,58,58,57 1/2,57 1/2,57,58 1/2, and57.Leila makes a dot plot of data. How many different heights will be included on the number line
Answers
If Leila makes a dot plot of the heights of the girls in her class to the nearest ¹/₂ inch, the number of different heights that will include on the number line is 5.
What is a dot plot?A dot plot is a data visualization tool that consists of data points plotted as dots on a graph with an x- and y-axis.
The number of dots plotted on each number line shows the frequency of the data group.
Height Frequency Cumulative Frequency
56¹/₂ 2 2
57 2 4
57¹/₂ 2 6
58 2 8
58¹/₂ 1 9
Thus, arranging the heights according to groups, the different heights on the number line can be classified into 5.
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Solve for … Find the sum of the series.Round to the nearest whole number. (No decimals)
Answers
Given:
\(-12-4-\frac{4}{3}-\ldots\text{..-}\frac{4}{243}\)Find the general representation of the given series,
\(\begin{gathered} a_n=ar^{n-1} \\ a=\text{ first term =-12} \\ r=\text{ common ratio = 1/3} \\ a_n=-12(\frac{1}{3})^{n-1} \end{gathered}\)As, the nth term of the series is -4/243.
\(\begin{gathered} a_n=-12(\frac{1}{3})^{n-1} \\ -\frac{4}{243}_{}=-12(\frac{1}{3})^{n-1} \\ \frac{1}{729}=(\frac{1}{3})^{n-1} \\ \text{Apply exponent rule} \\ -(n-1)=-6 \\ n=7 \end{gathered}\)The sum of the first 7 terms of the given series is,
\(\begin{gathered} S_n=\frac{a(1-r^n)}{1-r},|r|<1 \\ S_7=\frac{-12(1-(\frac{1}{3})^7}{1-\frac{1}{3}} \\ =\frac{-\frac{8744}{729}}{\frac{2}{3}} \\ =-\frac{4372}{243} \\ =-17.99 \\ \approx-18 \end{gathered}\)Answer: the sum of the series is -18.
The table below shows that the number of miles driven by Brayden is directly
proportional to the number of gallons he used.
Gallons Used Miles Driven
29
838.1
34
982.6
37
1069.3
How many miles can he travel on 22.7 gallons of gas?
.
Answers
Brayden will be able to travel 656.03 miles on 22.7 gallons of gas.
The first thing to do is to find out the number of miles a single gallon is able to go:
= Number of miles travelled / gallons used
= 838.1 / 29
= 28.9 miles per gallon
= 1,069.3 / 37
= 28.9 miles per gallon
Now that we have the number of miles the car can go per gallon, the number of miles to be travelled on 22.7 gallons is:
= Number of gallons x Miles per gallon
= 22.7 x 28.9
= 656.03 miles
In conclusion, Brayden can go 656.03 miles.
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conaider a regular 96-sided polygon exlain how to found your anser in orlder to get full credit
Answers
To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.
How to create a regular polygon with 96 sides?To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.
360° / 96 = 3.75In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.
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Select the values that make the inequality -k ≤ 4 true.
Then write an equivalent inequality, in terms of k.
(Numbers written in order from least to greatest going across.)
Answers
The values that make the inequality true are -7, -6, -5 and -4
How to determine the values that make the inequality trueFrom the question, we have the following parameters that can be used in our computation:
-k ≤ 4
Solving further, we need to make k the subject of the formula
This is done by dividing both sides of the inequality by -1
Using the above as a guide, we have the following:
So, we have the following representation
-k/-1 ≤ 4/-1
Evaluate the quotient
This gives
k ≤ -4
Hence, the solution is k ≤ -4 and the values of k are values that do not exceed -4
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Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
Answers
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Un contratista que se dedica a la construcción de una casa descubrió que debía pagar: $ 1.100 al empapelador y al pintor $ 1.700 al pintor y al plomero $ 1.100 al plomero y al electricista $ 3.300 al electricista y al carpintero $ 5.300 al carpintero y al albañil $ 2.500 al albañil y al empapelador
Answers
Answer:
1.100+1.700+1=100+5.300+2..500
Please help and answer ASAP please will mark Brainlest
What is the value for x?
Enter your answer in the box.
x =
Answers
Answer:
x=45
Step-by-step explanation:
i hope its right good luck :)
i think im wrong
when you reverse the digits in a certain two digit number you increase its value by 18.what is the number if the sum of its digit is 14
Answers
We have a number of two digits that we call xy, we know that x+y=14 and yx-xy=18.
Due x and y could be integers between 0 and 9, we can write the following equations:
\(\begin{gathered} x+y=14 \\ (y-1)-x=1 \\ \end{gathered}\)The second equation represent the condition that yx-xy=18, to satisfy that condition we assume that y borrow an unit to x so 1x-y=8, so (y-1)-x=1.
Now, we solve the equations:
\(\begin{gathered} x+y=14\Rightarrow y=14-x \\ (14-x-1)-x=1 \\ 13-2x=1 \\ 2x=13-1=12 \\ x=\frac{12}{2}=6 \\ \text{And:} \\ y=14-6=8 \end{gathered}\)So, the number is 68, and 86-68=18.
Evaluate the expression 10 to the 2 power + (3 +5 to the power 2) -5
Answers
Answer:
128
Step-by-step explanation:
first you would see what 10 to the 2 power whinch is 100 then see what 5to the 2 power which is 25 so then you do 25+3=28 then do 28+100=128 so your answer is 128
if a flight to europe takes about 13 hours and you make one round trip flight per month how many total days do you travel in a year
Answers
Answer:
13 days
Step-by-step explanation:
Given that a one-way flight to europe will take 13 hours
A round trip will take = 13 hrs x 2 = 26 hours
Also given that we make one round trip per months for 12 months (1 year)
We will take a total of 12 round trips per year
Number of hours taken for 12 round trips
= 26 hours per round trip x 12 round trips
= 26 x 12
= 312 hours
Recall that there are 24 hours in a day, hence to convert 312 hours into days, we have to divide this by 24.
Number of days = number of hours ÷ 24
= 312 ÷ 24
= 13 days
Find the sum of the following finite geometric series.
Answers
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?
Answers
Answer:
2.5 inches
Step-by-step explanation:
Area= 50 square inches
Base= 20 inches
Height=?
Area= base×height
50= 20× x
50= 20x
x= 50/20
= 2.5
Hence the height is 2.5 inches
Answer:5 inches
Step-by-step explanation:
subtract P - 2 q + r from the sum of 10 P - R and 5 p + q
Answers
Answer:
14p +4q-2r
Step-by-step explanation:
Sum of (10p-r+5p+2q)
10p+5p+2q-r
15p+2q-r
Now subtract( p-2q+r) from (15p+2q-r)
(15p+2q-r) - (p-2q+r)
15p+2q-r-p+2q-r
15p-p+2q+2q-r-r
14p +4q-2r
The answer is 14p +4q-2r
What is the area, measured in square centimeters, of the triangle below? Do
not include units in your answer.
Answer here
Answers
Answer:
The area of this triangle is (1/2)(9)(8) = 36.
I will give brainliest please help
Answers
Answer:
2.5
Step-by-step explanation:
\( \frac{u}{11} = \frac{3}{13} \\ \\ u = \frac{3 \times 11}{13} \\ \\ \\ \\ u = \frac{33}{13} \\ \\ u = 2.53846154 \\ \\ u \approx2.5\)
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Solve the following equation. Then place the correct number in the box provided.
7x/15-1=22
Answers
\(\\ \sf\longmapsto \dfrac{7x}{15}-1=22\)
\(\\ \sf\longmapsto 7x/15=23\)
\(\\ \sf\longmapsto 7x=345\)
\(\\ \sf\longmapsto x=345/7\)
\(\\ \sf\longmapsto x\approx 49\)
The question above is what I need to know
Answers
Answer:
a
Step-by-step explanation:
Answer:
angles 1 and 3 are supplementary
How many 120° angles are in a circle?
Answers
Answer:
your answer is 12
I've answered it before and got it right
Answer:
Hello! answer: 3
Step-by-step explanation:
Perfect circles are 360 degrees
120 × 3 = 360 therefore the answer would be 3 Hope that helps!
What's the perimeter?
Answers
Explanation:
Side 1 - 9
Side 2 - 4
Side 3 - 4
Side 4 - 8
Side 5 - 11
Side 6 - 3
Side 7 - 2
Side 8 - 15
Added together: 56
Answer:
The perimeter would be 55 units
Find the mode of the data. please Helppppp!!!
Answers
Answer:
pizza
Step-by-step explanation:
Mode is the one that appears most often
Pizza appears 4 times
Cheeseburger, spaghetti appears only 3 times
apples, hot dogs 2 times
Answer: the mode is pizza
Step-by-step explanation:
Pizza: 4
Spaghetti: 3
Cheeseburger: 3
Apples: 2
Hotdog: 2
Pizza is the most so, it is the mode.
Find the Surface Area of a cone that has a slant height of 14 in and a diameter of 6 in. Remember to use the symbol when you plug it into your calculator. Round the answers to the nearest tenth.
Surface Area = ___ in2
Answers
The surafce area of the cone with a slant height of 14 in and a diameter of 6 in is 160.2 in².
What is the surface area of the cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone can be expressed as;
SA = πrl + πr²
Where r is radius of the base, l is the slant height of the cone and π is constant pi.
Given that:
Slant height l = 14 in
Diameter d = 6 in
Radius r = diameter/2 = 6/2 = 3in
S.A = ?
Plug the given values into the above formula and solve for the surface area.
SA = πrl + πr²
SA = ( π × 3in × 14in ) + ( π × (3in)² )
SA = 160.2 in²
Therefore, the surface area is 160.2 in².
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Given that log 2 = 0.3010 and log 3 = 0.4771, evaluate log√120 and leave your answer correct to four significant figure
Answers
Answer:
1.040
Step-by-step explanation:
log √(120)
= (1/2) log 120
120 = 2³ • 3 • 5
= 0.5(3 log 2 + log 3 + log 5)
Express log 5 in terms of log 2.
log 5 = log (10/2) = log 10 - log 2 = 1 - log 2
= 0.5(3 log 2 + log 3 + 1 - log 2)
= 0.5(2 log 2 + log 3 + 1)
= 0.5(2*0.3010 + 0.4771 + 1)
= 1.03955 or 1.040
Enter a positive value for d that makes this statement true: 34×d is less than 34 but greater than zero HELP PLSS FASTT
Answers
Answer:
0.5 (any number between 0 and 1)
Step-by-step explanation:
34 * 0.5 = 17
34 > 17 > 0
4.
3. Main Middle School needs to raise
more than $500 to purchase new
curtains for the theater. They are
selling pencil bags for $2.50 each.
Write and solve an inequality to
find the minimum number of
pencil bags they need to sell to
reach their goal.
Answers
Answer:
200
Step-by-step explanation:
500÷2.5