Answers
Answer:
x = ⅛
Step-by-step explanation:
Examining the figure given, ED is an angle bisector.
Therefore, according to the angle bisector theory, EH/EG = HD/GD
EH = 56mm
EG = 44.8mm
HD = 35mm
GD = (x+4) mm
56/44.8 = 35/(x+4)
Cross multiply
56*(x+4) = 35*44.8
56x + 224 = 1,568
Subtract 224 from both sides
56x = 1,568/224
56x = 7
Divide both sides by 56
x = 7/56
x = ⅛
Related Questions
He has 2 pens. His friend gives him 2 more pens. How many pens he has?
Answers
Step-by-step explanation:
4 i guess... sry i m not good at maths
1.0315 x 10^ written in standard notation
Answers
Answer:
10.315
Step-by-step explanation:
algebra domain and range please help
Answers
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)
Triangle ABC is a 45*-45*-90* triangle where two vertices are A(-2,2) and B(-2,6) and AB is a leg of the triangle. What are all the possible ordered pairs for C?
Answers
Midpoint formula: [(x1 + x2) / 2, (y1 + y2) / 2]
For A(-2,2) and B(-2,6), the midpoint coordinates are:
C = [(-2 + -2) / 2, (2 + 6) / 2] = [-2, 4]
So, the only possible ordered pair for point C in this 45°-45°-90° triangle is (-2, 4).
what is the greatest common factor of
8x - 12
Answers
Answer:
4
Step-by-step explanation:
8x - 12
4(2x - 3)
What is the range of the following data set? 7.7, 8.4, 9, 8, 6.9
Answers
Answer:
The range is 2.1
Step-by-step explanation:
7.7, 8.4, 9, 8, 6.9
Put the numbers in order from smallest to largest
6.9,7.7, 8,8.4, 9
The range is the largest number minus the smallest number
9 - 6.9
2.1
There are 75 students enrolled in camp. The day before the camp begins, 8℅ of the students cancel. how many students actually attend the camp?
Answers
on a certain hot summer day 656 people used the public swimming pool. the daily prices are $1.75 for children and $2.00 for adults. the receipt for admission totaled $1220.50. how many children and how many adult swam at the public pool that day?
Answers
total number that used the pool = 656
price per child = $1.75
price per adult = $2.00
Total admision cost = $1220.50
Let
x = number of children
y = number of adult
Therefore,
\(\begin{gathered} x+y=656 \\ 1.75x+2y=1220.50 \end{gathered}\)\(\begin{gathered} 1.75(656-y)+2y=1220.50 \\ 1148-1.75y+2y=1220.50 \\ 0.25y=1220.50-1148 \\ y=\frac{72.5}{0.25} \\ y=290 \\ \\ x=656-290 \\ x=366 \end{gathered}\)Number of children = 366
Number of Adult = 290
Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
Answers
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
Which pairs of matrices are inverses?
Answers
Answer:
B is the answer
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
12.
What is the area of a square if the sides are 2 1/2 meters long?
Answers
Answer:
6.25
Step-by-step explanation:
I NEED HELP ASAP PLEASE 20 POINTS
Answers
Answer:
B.
Step-by-step explanation:
\(\sqrt[4]{2x^2} * \sqrt[4]{2x^3}\)
= \(2^{1/4}x^{2/4} * 2^{1/4}x^{3/4}\)
= B. \(2^{2/4}x^{5/4}\).
Hope this helps!
Evaluate the expression: 3a2 + 2b2 when a = -3 and b = 6
Answers
Multiply 3 and -6=-18*2= -36
Multiply 2 and 6=12*2=24
-36+24= -12
Use the trapezoid shown to new each statement below as true or false, if false rewrite the statement correctly in the space below the statement.
Answers
Note that the perimeter of the trapezoid shown is 23 units. Thus, the statement is false.
How so you arrive at that?To derive the perimeter we must know the following:
a = base = 5
b = base = 8
d = side = 4
c is the hypotenuse" = (h x base of the right triangle) = (4x3)/2 = 6
Thus, Perimeter of the trapezoid = a + b + c + d =
5 + 8 + 4 + 6
= 23 units.
Thus, the statement that the perimeter of the trapezoid shown is 22 units is false.
Learn more about trapezoid:
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Full Question>
Use the trapezoid shown to mark each statement below as true or false. if false, please rewrite the statement correctly in the space below the statement!
Q: The perimeter of the trapezoid shown is 22 units.
True false?
you complete 7 courses of a video game that has 8 levels.each level has 6 courses. how many courses do you have left to complete
Answers
The number of courses that the person has to complete based on the information given is 48 courses.
How to illustrate the information?It should be noted that from the information, it was stated that the person completed 7 courses of a video game that has 8 levels and that each level has 6 courses.
Therefore, since the person has completed seven out of right, there's one left and Thai has levels which means the total courses will be:
= 8 × 6
= 48
Therefore, the number of courses that the person has to complete based on the information given is 48 courses.
Learn more about expressions on
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I need help solving using the pythagorean theorem.
Answers
Answer:
\(\sqrt{11}\)
Step-by-step explanation:
well first you have to plug in a and c in the Pythagorean theorem.
\(a^2+b^2=c^2\\(2\sqrt{2})^2+b^2 =(\sqrt{15})^2\)
then squaring the square roots cancels them out sooo it becomes
\(4 +b^2=15\)
and then isolate b
\(b^2 = -4 +15\\\\\\b=\sqrt{-4+15} \\b=\sqrt{11}\)
and there you have it. b is \(\sqrt{11}\)
3(2x+1)=7x-2 find the value of x
Answers
Answer:
5
Step-by-step explanation:
3(2x+1)=7x-2
6x + 3 = 7x - 2
6x - 7x = -2 - 3
-x = -5 /(-1)
x = 5
Answer:
5
Step-by-step explanation:
3 ( 2x + 1 ) = 7x - 2
Step 1 : Remove the parentheses
6x + 3 = 7x - 2
Step 2 : Move the variable to the left-hand side and move extra number the right-hand side
6x + 3 = 7x - 2
-7x -3 -7x -3
6x - 7x = -2 - 3
Step 3 : Combine like terms
-x = -5
Step 4 : Change the sign to make x positive
x = 5
SOLUTION : x = 5
Hope this helps :)
For their wedding, Ben and Jen paid $12 for each guest's dinner. The total bill was $2256. How many guests did they have at their wedding?
Answers
Answer:
188
Step-by-step explanation:
Very easy and simple division problem. All we need to do is divide the total number (2256) by the amount that they paid (12). This will give us how many people they payed for. The equation looks like this:
2256 ÷ 12 = 188.
If you need to prove this you can do 188 x 12 to find out for yourself. (It also equals 2256 proving the point.)
188 is your answer.
Hope this helps and have a nice day!
In what time will $1000 amount to $1331 at 10% per annum, compounded annually?
Answers
Step by step explanation:
3 Years
Step-by-step explanation:Compound interest is a multiplier that affects the new value each time.
If the compound interest is 10% per annum, the multiplier each year is 1.1.
Year 1: $1000 * 1.1 = $1100
Year 2: $1100* 1.1 = $1210
Year 3: $1210* 1.1 = $1331
This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.
Alternatively, you can use a logarithm. The calculation can be written as:
1000 * \(1.1^n\) = 1331, where n is the number of years.
Rearranged, this gives \(1.1^n\) = 1331/1000 or \(1.1^n\) = 1.331.
A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.
Need to find shaded area of figure please help!
Answers
Answer:
39 ft^2
Step-by-step explanation:
Find the area of the triangle and subtract the area of the square.
area of triangle = bh/2
area of square = s^2
shaded area = bh/2 - s^2
shaded area = (20 ft)(16 ft)/2 - (11 ft)^2
shaded area = 160 ft^2 - 121 ft^2
shaded area = 39 ft^2
3 + 2r = 5 so r = what
Answers
Answer:
r=1
Step-by-step explanation:
3+2r=5
-3 -3
2r=2
r=1
Answer: R equals 1. Move the constant to the right and change it's sign. Subtract the numbers. Divide both sides of the equation by 2. So that leaves you with 1.
D. Which transformations (vertical shift, horizontal shift, dilations, and reflections) change the domain of a function.
Support your answers with equations and graphs.
Answers
The transformations that change the domain of a function are given as follows:
Horizontal shift.Dilation.Reflection over the y-axis.What is the domain of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.
Hence we must look at transformations that change the values of x of the function, which are given as follows:
Horizontal shift, which are f(x + a) and f(x - a).Dilation, which are f(ax).Reflection over the y-axis, which is f(-x).Learn more about domain and range at https://brainly.com/question/26098895
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Rocko paid 12.50 for 25 game tickets
Answers
He paid each game ticket for 0.5$
EXPLANATION
12.5/25
Find the midpoint of the two points on the circle (-2,1) and (5,-4)
Answers
Answer:
1.5,-1.5
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer: (1.5,-1.5)
Step-by-step explanation:
I hope it’s right
Please help now. I’m very confused and i don’t no how to do this. I don’t want just the answer but a great explanation.
Answers
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
Find all values of n for which the equation has two complex (non-real solutions)
6r² = 8r+ (n + 4)
Answers
Answer:
When n < - 6 2/3 the given equation has two complex solutions------------------------------
Given is a quadratic equation:
6r² = 8r+ (n + 4) ⇒ 6r² - 8r - (n + 4) = 0A quadratic equation has no real solutions if its discriminant is negative.
The discriminant of ax² + bx + c is:
D = b² - 4acApply to given equation:
D = (-8)² - 4*6*( - (n + 4)) = 64 + 24(n + 4) = 64 + 24n + 96 = 24n + 160Find the value of n when D < 0:
24n + 160 < 024n < - 160n < - 160/24 n < - 20/3 n < - 6 2/3Need help with these questions
Answers
Answer:
1. 12
2. -23
3. 15
Step-by-step explanation:
We are given a and b, so we just plug these in.
a = 1/4 or 0.25
b = 6
-8(0.25)(6) = 12
16a^2 - 4b
16(.25)^2 - 4(6) = -23
(5b)/(32a^2)
5(6)/32(.25)^2 = 15
at a bakery, the ratio of the number of pies to the number of cakes was 8:3. What is the fraction of the number of cakes to the number of pies.
Answers
Answer:
Step-by-step explanation:
Answer:
3
---
8
Step-by-step explanation:
the ratio of cakes to pies will be 3:8 if pies to cakes is 8:3
the fraction is 3/8
How to do this? With solution ASAP
Answers
Answer:
ithink C dahil yuhn nga aking suggest.
Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.