The measure of ∠A = ∠67°.
Complementary angle
The sum of two angles is equal to 90 degrees is called a complementary angle.
Here it is given that ∠A and ∠∠B is a complementary angle
So from this, we have
m ∠A + m ∠B = 90°
m ∠A = (7x + 18)°
m ∠B = ( 5x - 12)°
So we have,
(7x + 18)° + ( 5x - 12)° = 90°
(12x + 6 )° = 90°
12x = 84°
x = 7°
Now we will put the value of x in the mA equation,
mA = (7x + 18)°
= (7× 7 + 18)°
= (49 + 18)°
= 67°
Therefore we get ∠A = 67°.
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The temperature of a city changed by a total of −20 degrees Celsius over a 4-week period. The temperature changed by the same amount each week.
Based on the change in the temperature of the city over the 4-week period, the expression to show the average change in temperature each week is -20 / 4
When the expression is simplified, the result if -5°C which means that the temperature reduced by 5°C every week.
What was the temperature change?The average temperature change of the city each week can be found by:
= Total change in temperature / Number of weeks
Solving gives:
= -20 / 4
= -5°C
This means each week for the 4-week period, the temperature of the city decreased by 5°C.
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A grocery store sells a bag of 8 oranges for $3.12. If Boubacar spent $2.34 on oranges, how many did he buy
Answer:
Step-by-step explanation:
Answer = 6 oranges
.39 x 6 = $2.34
The number of oranges Boubacar buys is 6 oranges
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of oranges a grocery store sells at $ 3.12 = 8 oranges
The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12
The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12
Now ,
The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar
The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34
So ,
The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34
= 8 x 0.75
= 6 oranges
Hence , the number of oranges Boubacar buys is 6 oranges
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Simplify 0.1+3.7+5.9
Write
15
3
2
in surd form.
The given expression written in surd form is 15√15
From the question, we are to write the given expression in surd form
The given expression is
[tex]15^{3/2}[/tex]
To write the expression is surd form, we will apply one of the laws of indices.
From one of the laws of indices, we have that
[tex]x^{y/n} = \sqrt[n]{x^{y} }[/tex]
Then,
We can write [tex]15^{3/2}[/tex] as
[tex]15^{3/2} = \sqrt[2]{15^{3} }[/tex]
[tex]= \sqrt[]{15^{3} }[/tex]
Simplifying
[tex]\sqrt{3375}[/tex]
Further simplification
[tex]\sqrt{225 \times 15}[/tex]
= [tex]\sqrt{225} \times \sqrt{15}[/tex]
= [tex]15 \times \sqrt{15}[/tex]
= [tex]15 \sqrt{15}[/tex]
Hence, the given expression written in surd form is 15√15
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Two out of every five cars are red.if there are 100 cars in the parking lot, how many are red
Answer: 10 Cars!!!!
Step-by-step explanation:
converting 0.000098 into scientific notation what is the missing power of 10
Answer:
9.8E^-5 (or 9.8*10^-5)
Step-by-step explanation:
0.000098 converted to scientific notation is either 9.8E^-5 or 9.8*10^-5 as they are the same, just different ways of writing it. To get this, you just count the spaces away from the decimal point the number is.
ex.) 0.98 = 9.8E^-1 as it just has to move 1 decimal
980 = 9.8E^1 as it has to move 1 decimal to the positive side
and so on.
The expression 53(1+x) represents the total cost of a meal including the tip.
Answer:
53 + 53x
Step-by-step explanation:
Multiply each term in the parentheses by 53 and you get 53 + 53x
I hope that helps!!
explain why when you divide both sides of an inequality by a negative number, you must reverse the inequality sign.
50pts to whoever can solve this correctly
Answer:
b^2 - 4ac ==> what's inside the square root
The answer is the 2nd option
Step-by-step explanation:
b^2 - 4ac represents the number of roots in the quadratic equation. If
b^2 - 4ac>0, then there are 2 roots in the quadratic equation. If
b^2 - 4ac=0, then there is only 1 root. If b^2 - 4ac<0, then the square root of b^2 - 4ac would be invalid since the square root of a negative number has no real solution. Hence, if b^2 - 4ac<0, then there are no roots.
Answer:
The answer should be option B. b^2-4ac
Step-by-step explanation:
...
HELP!!! There is a photo please quickly!!
Answer:
∆y = 9
∆x = 6
Slope = 3/2 or 1.5
It looks like you erased it, but you had the answer correct on your paper.
Step-by-step explanation:
If the reserve rate is 8% and a bank receives a deposit of $7000, how much of
the $7000 is the bank free to lend?
A. $6440
B. $1400
C. $5600
D. $560
The bank can borrow $6440 based on the $7000 deposit.
What is defined as the reserve rate?The reserve ratio is the proportion of a commercial bank's deposits that it has to keep in cash as a safeguard in the event of mass customer withdrawals, as determined by the central bank. The reserve ratio is a crucial monetary policy tool used by the Federal Reserve in the United States to continue increasing the economy's money supply.The following deposit amount: $7000
Because the reserve rate is 8%, the bank will reserve 8% of the 7000. The remaining funds can be lent by the bank.
7000 × (8/100) = amount set aside
= $560
Thus, the reserve deposit is $560.
Amount the bank is willing to lend = 7000 - 560 = $6440
Thus, the bank can lend $6440 based on a deposit of $7000.
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A student has these scores on their assignments. the teacher is considering dropping a lowest score. what effect does eliminating the lowest value, 0, from the data set have on the mean and median? 0, 40, 60, 70, 75, 80, 85, 95, 95, 100 select all the true statements.
Mean = Sum of all observations/Number of observations
The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
Given,
The set of scores = 0, 40, 60, 70, 75, 80, 85, 95, 95, 100
Mean without '0' = 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/9= 700/9
= 77.777
Median without '0' = 80Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/10 = 70Median with '0' = 80Learn more about mean and median here:
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Jamie wants to share 18 ¾ inches of candy with two friends. How much will each person, including Jamie, receive if the candy is divided into equal amounts?.
Answer:
6 1/3
Step-by-step explanation:
18 3/4 divided by 3 is 6 1/3
Multiply. HELP
3/10⋅4/9
Responses
2/15
7/19
27/40
I don't know.
a) Evaluate the following calculation, giving your answer rounded to 3 decimal
places:
(4.01 +8.56)³ × (347-150) ½
b) Explain the steps you have taken in the calculation and why.
Answer:
Step-by-step explanation:
pls help i really need it i beg
The first and third picture are the same.
1. They have 13/12 ft of lumber
2. 3/7
3. 13/12
4. It took Tim 1/4 longer to run the sprint
PLEASE HELP!!!
The answer choices are:
A) −3 ≤ x ≤ 2
B). y ≥ 5.5
C). All Real Numbers
D). All real numbers less than −3 or greater than 2
Answer:
Step-by-step explanation:
cevap a ANSWER A
Use the Commutative Property of Multiplication to write an expression equivalent to x•9.
Answer:
9 x x
Step-by-step explanation:
commutative property just means you can switch the numbers around
NEED CORRECT ANSWER RN PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty
Simplify. (4/9)2
help
Answer:
8/9
Step-by-step explanation:
4/9 times 2 is 8/9 and 8/9 is already the simplest way to put it so the answer is 8/9
Answer:
8/9
Step-by-step explanation:
(4/9)(2/1)
(4)/(9)(2)/(1)
8/9
0.888 (decimal)
When janelle woke up it was -3 degrees Fahrenheit outside.as the morning progressed,the temperature rose 2 degrees every hour.
W hitch line on the Garth could represent this scenario
The equation to illustrate the information regarding the temperature it the temperature rose 2 degrees every hour is -3 + 2h.
How to illustrate the information?It should be noted that an equation is used to show the relationship between the variables.
In this case, when janelle woke up it was -3 degrees Fahrenheit outside.as the morning progressed,the temperature rose 2 degrees every hour.
Let the number if hours be represented by h
Therefore, the equation to illustrate the information will be -3 + 2h
here h = number of hours.
Note that the complete information wasn't found and the equation was illustrated.
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If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was
Answer:13.33333333
Step-by-step explanation:All you have to do is 5 divided by 1.5 times 4. Your welcome random human being (or alien)
I need help, thank you <3
Step-by-step explanation:
so, pre-image is then doing the opposite :
going up 2 units and left 4 units.
up/down changes y, left/right changes x.
up = positive y direction
down = negative y direction
right = positive x direction
left = negative x direction
just as indicated by the coordinate axes.
so,
going up 2 units = adding 2 to y
going left 4 units = subtracting 4 from x
giving us as pre-image point A
(4 - 4, -5 + 2) = (0, -3)
2. The official Olympic swimming pool measures about 50 m x 25 m x 2.5 m (LWH). If a
box measuring 50cm x 70cm x 25cm (LWH) can hold 315 tennis balls, then what would
be a reasonable estimate for a number of tennis balls that can fit in the swimming pool?
Answer:
the answer isssssssssssssssssss
On a number line, suppose the coordinate of A is 0, and AR = 12. What are the possible coordinates of the midpoint of AR?
The possible coordinates for midpoints of the segment are
?
The midpoint of AR is (1/2 , 1).
Let the points be:
A(0,0) = (x₁,y₁)
B(1,2) = (x₂,y₂)
Midpoint = (x₁₊x₂/2) , (y₁₊y₂/2)
A location in the middle of a line connecting two points is referred to as the midpoint. The midpoint of a line is located between the two reference points, which are its endpoints. The line that connects these two places is split in half equally at the halfway. In addition, the halfway is reached if a line is drawn to divide the line that connects these two places.
= (0₊1/2) , (0₊2/2)
=(1/2 , 2/2)
= (1/2 , 1)
hence the midpoint of the number line is (1/2 , 1).
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Solve by factoring. Check your answers. x²=-x+6
The factoring of the expression x²=-x+6 is (x-2)(x+3)
By ordering the values, we get:
x² + x - 6 = 0
To solve this exercise, we have to follow the rules of factoring:
1. Looking for the a and b number that state the following equations:
a + b = 1a * b = - 6Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.
The number could be:
a = -2
b = 3
Confirming:
a + b = -2 + 3 = 1
a * b = (-2) * 3 = - 6
2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:
(x-2)(x+3)
What is factoring?Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.
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Help now please!!
I dont understand at all and need help. pls dont comment if u dont know.
Answer:
I'm pretty sure it would be B
Step-by-step explanation:
X and Y
Answer:
am pretty sure it answer b
Find the inverse of each function. Is the inverse a function?
y=x²+4
If the equation be y = x² + 4 then the inverse function be [tex]f^{-1} (x)=[/tex] ± [tex]\sqrt{x - 4[/tex].
What is meant by inverse function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function is denoted by ' f ' or ' F '.
Let the equation be y = x² + 4
then the function be f(x) = x² + 4
y = x² + 4
⇒ x = y² + 4
simplifying the above equation, we get
x - 4 = y²
√y² = √x - 4
The value of y = ± √x - 4
Therefore, the inverse function be [tex]f^{-1} (x) =[/tex] ±√x - 4
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A composite figure is comprised of a semicircle, trapezoid, and 2 rectangles.
How can you decompose the composite figure to determine its area?
as a circle, three rectangles, and a triangle
as a circle, a trapezoid, and four triangles
as a semicircle, three rectangles, and a square
as a semicircle, a trapezoid, and two rectangles
The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
Two rectangles, a trapezoid, and a semicircle make form a composite figure.
The diagram of the composite figure is given below.
The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.
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Answer:
D
Step-by-step explanation:
A roll of 50 pennies has a mass of 125 grams. What is the value of 1,000 grams of pennies?
$4.00
$3.50
$5.00
$8.00
$4.50
Answer:
$4.00
Step-by-step explanation:
make a proportion
50/125=x/1000
1000(50/125)=x
8(50)=x
400=x
400pennies=$4.00
or solve like this
50/125= 0.4 pennies per gram (p/g)
0.4p/g
0.4p/g*1000g=400p=$4.00