Consider the below figure attached with the question.
Given:
m∠DBC = (12x - 3), m∠DBE = (5x + 12), m∠EBC = (3x + 13).
To find:
The measure of ∠EBC.
Solution:
From the figure, it is clear that,
[tex]m\angle DBC-m\angle DBE=m\angle EBC[/tex]
Putting the given values, we get
[tex](12x-3)-(5x+12)=(3x+13)[/tex]
[tex]12x-3-5x-12=3x+13[/tex]
[tex]7x-15=3x+13[/tex]
[tex]7x-3x=15+13[/tex]
[tex]4x=28[/tex]
Divide both sides by 4.
[tex]x=7[/tex]
Now,
[tex]m\angle EBC=(3x+13)^\circ[/tex]
[tex]m\angle EBC=(3(7)+13)^\circ[/tex]
[tex]m\angle EBC=(21+13)^\circ[/tex]
[tex]m\angle EBC=34^\circ[/tex]
Therefore, the measure of angle EBC is 34 degrees.
4/7 Divided by 15 in a improper fraction
Answer:
4/7 divided by 15 is 4/105. so no its not an improper fraction
Step-by-step explanation:
Is the equation proportional?
y = 2x + 6
Answer:
Yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
when you carry the 6 to y=6y then you divide the number by two
if the measure of angle 6 is 28⁰ then the measure of angle 3 is
Answer: 62
Step-by-step explanation:
Every triangle’s angles add up to 180. since it’s a right triangle one of the angles is 90 degrees and the other is 28 degrees. so then you have to find the other angle which would made it add up to 180. which is 62.
28+90=118
180-118=62
complete the table for values y= 2x+ 3
Answer:
There should be a table with the values of x to find Y or vice versa, it depends.
Step-by-step explanation:
it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?
for example, if you are given x as 2 then, to find Y will be:
Y =2(2) + 3
Y = 7
can you help me please? ( I didn't mean to pick a answer)
Answer:
#3:8n-4
Step-by-step explanation:
combine like terms
3n+n=4n
-7+5=-2
4n-2
multiply that by 2 to get the perimeter, which is 8n-4
Does anybody know how to do that
Answer:
how to do what? there is no question attached
Step-by-step explanation:
Help needed! Plz A graph of a linear inequality in two variables is shown below:
Answer:
C
Step-by-step explanation:
If p (x)is equals to x cube minus x square + X + 1 find value of P (- 1)+ p(1) / 2
p(x) = x³ - x² + x + 1
i ) p(-1) = (-1)³ - ( -1 )² + ( -1 ) + 1
= -1 - 1 - 1 + 1
= -2
ii ) p( 1 ) = 1³ - 1² + 1 + 1
= 1 - 1 + 1 + 1
= 2
Now ,
[ p(-1) + p(1) ]/2
= [ -2 + 2 ]/2
= 0
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Can someone help me please
I’m new and I need help with this question.
Answer:
First answer (question 7) -18 (question 8) -13 (question 9) -3 (question 10) -2
Step-by-step explanation:
a rectangular pool is 3 times as long as it is wide. a redwood walkway 2m wide with an area of 208 m borders the pol. what are the dimensions of the pool
The dimensions of pool 25.5m width, 76.5m length.
Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.
let x= Width
formula of area of rectangle = Length x Width
Given;
[tex]\begin{aligned}&(3 x+2)(x+2)=3 x^{2} +208 \\&3x^{2} +8 x+4=3x^{2} +208\end{aligned}[/tex]
We can substrate [tex]3x^{2}[/tex] and 4 from both sides.
8x = 204
x = 25.5m width, 76.5m length.
(25.5)(76.5) = 1950.75 [tex]m^{2}[/tex]
(27.5)(78.5) = 2158.75 [tex]m^{2}[/tex]
The difference is 208[tex]m^{2}[/tex]
The dimensions of pool 25.5m width, 76.5m length .
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Use the distance formula to find the distance between the points (3, 6) and (8, -1). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (14, -2) and (8, -9). Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (-5, -7) and (-14, -12) Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (10, 5) and (4, 9)Round your answer to the nearest tenth place. Use the distance formula to find the distance between the points (5, 13) and (9, -21). Round your answer to the nearest tenth place.
PLEASE HELP ASAP!! a
Note: It seems you have asked the exact same type of questions again and again. So, I will solve the first question. The rest of the questions is the carbon copy of the same concept and solution method. Hopefully, it would get your concept clear.
Answer:
The distance between the points (3, 6) and (8, -1)
[tex]d=8.6[/tex]Step-by-step explanation:
Given the points
(3, 6)(8, -1)Finding the distance between the points (3, 6) and (8, -1)
(x₁, y₁) = (3, 6)
(x₂, y₂) = (8, -1)
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(8-3\right)^2+\left(-1-6\right)^2}[/tex]
[tex]=\sqrt{5^2+7^2}[/tex]
[tex]=\sqrt{25+49}[/tex]
[tex]=\sqrt{74}[/tex]
[tex]d=8.6[/tex]
Thus, the distance between the points (3, 6) and (8, -1)
[tex]d=8.6[/tex]NOTE: All the remaning questions have the same method of solution.
The average growth for height
of a boy from age 6 to 12 is 2.5
inches per year. John is 6 years
old and is 41 inches tall. Model
Johns height with an equation.
The modelled John's height with an equation is x = 41 - 6 × 2.5.
Given that, the average growth for the height of a boy from age 6 to 12 is 2.5 inches per year. John is 6 years old and is 41 inches tall.
We need to model John's height with an equation.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let John's initial height be x.
Now, an equation = x = 41 - 6 × 2.5
Therefore, the modelled John's height with an equation is x = 41 - 6 × 2.5.
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ola has 4
1
2
cups of rice. She uses
3
4
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?
The amount of cups that Lola uses to make the rice pudding for dessert is 3 3/4 cups.
How many cups were used to make rice pudding?
A fraction is a number that is made up of numerator and denominator. An example of a fraction is 3/4.
Number of cups were used to make rice pudding = number of cups Ola has - number of cups used to make sushi rolls
4 1/2 - 3/4
4 4 2-3/4 = 3 3/4 cups
What is fraction ?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.
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5(x -1) - 3x = -19
solve for x
Answer:
-7
Step-by-step explanation:
5x-5-3x=-19
2x-5=-19
2x=-14
x=-7
plss help
math work
bleh
Answer:
All 4 are solutions to the inequality.
Step-by-step explanation:
What we know:
The inequality requires that 48/f is less than or equal to 46.
Plug in each of the choices to see if that will work
48/12 ≤ 46
4 ≤ 46, so f = 12 will work.
48/-12 ≤ 46
-4 ≤ 46, so f = -12 will also work.
48/-3 ≤ 46
-16 ≤ 46, so f = -3 will work as well.
48/8 ≤ 46
6 ≤ 46, so f = 8 will work as well.
Since all 4 work, that means you should check all 4 choices on the question.
A map has a scale factor of 1 in=20 miles. If the distance between Dallas and Chicago was 9 inches on the map, how many miles is it in real life?
A. 20 miles
B. 180 miles
C. 200 miles
D. 10 miles
PLS HELP ME LIKE NOW PLS!?!
Answer:
B
Step-by-step explanation:
9x20=180
What is the measure of angle x? (1 point)
1) 35 degrees
O2) 40 degrees
3) 45 degrees
4) 50 degrees
A boat travels 4 miles downstream in half an hour, and the same distance upstream in 2 hours. What is the speed of the boat in still water?
Answer:
7/3 mph
Step-by-step explanation:
knowing that:
distance traveled = velocity * time - velocity of the water * time
4 = v1 * 1.5 + v2 * 1.5
4 = v1 * 2 - v2 * 2
solve the system in any way you want,
v1 = 7/3 miles per hour
v2 = 1/3 miles per hour
10°
55°
x х
Solve for y in the figure above.
4.
The quotient of 24 and d
Answer:
[tex]\frac{24}{d}[/tex]
Step-by-step explanation:
the quotient is the result of dividing 24 by d , that is
quotient = [tex]\frac{24}{d}[/tex]
Find the value of x in this figure. Explain your reasoning.
x=[tex]3[/tex]
[tex]3^{2} +x^{2} =[/tex][tex]18[/tex]
⇒[tex]x^{2} =18-3^{2}[/tex]
⇒[tex]x^{2}[/tex]=[tex]18-9[/tex]
⇒[tex]x^{2}[/tex]=[tex]9[/tex]
⇒[tex]x[/tex]=√[tex]9[/tex]
⇒[tex]x=3[/tex]
Max had $22. His mother gave him $15 more. How much does Max have
now? Click on the number line that shows the right answer.
Answer:
D (The one on the very bottom)
Step-by-step explanation:
If he started with 22 and went fifteen up, the arrow should be pointing to the right to show an increase in the amount of money Max has.
22+15=37
Answer:
4.
Step-by-step explanation:
22 + 15 = 37
hope it helps
PLEASE help. I will mark as brainliest
Answer:
C 35
Step-by-step explanation:
Brainliest
What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?
Answer:
26.29 cu. in.
Step-by-step explanation:
can anyone please help me ASAP?I have included a picture.
Answer:
[tex] Formula\: v =\frac{s}{t} \\\\
v = 60\: mph[/tex]
Step-by-step explanation:
Formula:
[tex]v = \frac{s}{t} \: mph \\ \\ when \: t = 3 \: and \: s = 180 \\ \\ v = \frac{180}{3} \\ \\ v = 60 \: mph[/tex]
Answer:
see explanation
Step-by-step explanation:
The formula for v is
v = [tex]\frac{s}{t}[/tex]
When t = 3 and s = 180 , then
v = [tex]\frac{180}{3}[/tex] = 60 mph
y
2010
2000
1990
1980
1970
1960
1950
Х
20 30 30 45 40 40 60
Answer:
money
Step-by-step explanation:
m
what the answer giving brainliest !!!!!!
Answer:
1/2 * 5/4
Step-by-step explanation:
when dividing fractions, you change the symbol to a multiplication sign and use the reciprocal of the second fraction
Answer:
C. 1/2 * 5/4
Step-by-step explanation:
Reciprocals
What is the result when 12x3 + 20x2 + 11x + 2 is divided by 3x + 2?
Answer: 3x + 2) 12x� + 20x� + 11x + 2
Divide the first term 12x� by 3x: %2812x%5E3%29%2F%283x%29=4x%5E2
and write 4x� above the 20x�:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
Multiply the 4x� by the (3x + 2) getting 4x%5E2%283x%2B2%29=12x%5E3%2B8x%5E2 and
write it under the first two terms and draw a line underneath:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
Subtract %2812x%5E3%2B20x%5E2%29-%2812x%5E3%2B8x%5E2%29=12x%5E3%2B20x%5E2-12x%5E3-8x%5E2=12x%5E2,
and write 12x� under the line under 8x�, like this:
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x�
Now bring down the next term + llx and write in next to the 12x�
4x�__________
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
Divide the first term on the bottom 12x� by 3x: %2812x%5E2%29%2F%283x%29=4x
and write + 4x above the 11x at the top, like this:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
Multiply the 4x by the (3x + 2) getting 4x%283x%2B2%29=12x%5E2%2B8x and
write it under the first two terms and draw a line underneath:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
Subtract %2812x%5E2%2B11x%29-%2812x%5E2%2B8x%29=12x%5E2%2B11x-12x%5E2-8x=3x,
and write 3x under the line under 8x, like this:
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x
Now bring down the last term + 2 and write in next to the 3x
4x� + 4x____
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
Divide the first term on the bottom 3x by the 3x at the left:
%283x%29%2F%283x%29=1 and write + 1 above the + 2 at the top,
like this:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
Multiply the + 1 by the (3x + 2) getting 1%283x%2B2%29=3x%2B2 and
write it under the two terms at the bottom and draw a line
underneath:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
3x + 2
Subtract %283x%2B2%29-%283x%2B2%29=3x-3x=0,
and write 0 under the line under 2, like this:
4x� + 4x + 1
3x + 2) 12x� + 20x� + 11x + 2
12x� + 8x�
12x� + 11x
12x� + 8x
3x + 2
3x + 2
0
Now you are done and the answer is 4x%5E2%2B4x%2B1 and
since the remainder is 0 you do not have to put it over
the divisor 3x+%2B+2 and add it on like you do when
the remainder is not 0.
Step-by-step explanation:
which word describes a statement that has been accepted, tested, and supported by multiple sets of evidence? theory theory hypothesis hypothesis procedure procedure data
Data defines a claim that has been verified, examined, and backed up by numerous pieces of evidence.
What do you mean by data?
Data is information that has been transformed into a format that is useful for transfer or processing in computing. Information that has been converted into binary digital form for usage with contemporary computers and communication channels is referred to as data.
As the volume of data being collected and stored increases, so do the units used to measure it. For instance, the relatively new concept of a "brontobyte" refers to a unit of data storage that is 10 to the 27th power of bytes.
File formats can be used to store data, such as ISAM and VSAM in mainframe systems. Another file format for storing, converting, and processing data is comma-separated values.
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