Answer:
The answer would be 4
Step-by-step explanation:
2/3=x/10-x
(cross multiply)
2(10-x)=3x
20-2x=3x
20=5x
(divide by 5)
x=4 (That would be the answer You welcome.)
Fill in the blank 4
For the given triangle the value of x = 4.
In the given figure,
The triangles, ABC and DBE are similar
Since we know that,
Triangles that are similar to one another in shape but differ in size are known as similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent.
Therefore, we have the proportionality,
EC/BE = AD/DB
⇒ 2/3=x/10-x
After cross multiplying
⇒ 2(10-x)=3x
⇒ 20-2x=3x
⇒ 20=5x
Divide both sides by 5, and we get,
⇒ x = 4
Hence,
The value of x = 4.
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3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
9514 1404 393
Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
How bad is the heavy traffic? You can walk 15
miles in the same time that it takes to travel 30
miles by car. If the car's rate is 2 miles per
hour faster than your walking rate, find the
average rate of each.
Answer:
Average rate of car: x+3
Walking rate: x
The equation is
10/15 = x/x+3
So
x = 6
So
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
Answer:
Average rate of car: 9 mph
Walking rate: 6 mph
Step-by-step explanation:
daves first three test scores in algebra were 84%, 88%, and 90%. what does he need to earn on the next test so that his average for all four tests is exactly 90%?
A. 92%
B. 87%
C. 100%
D. 98%
Answer:
C gives you 90.2
Step-by-step explanation:
84+88+90+100=362
362/4=90.2
Find arc mKL(only real answers)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!
Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researchers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.
Answer: Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Step-by-step explanation:
A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.
n= 200
Sample proportion = [tex]\hat{p}=\dfrac{109}{200}=0.545[/tex]
Claim : p>0.50
Null hypothesis: [tex]p\leq0.50[/tex]
Alternative hypothesis: [tex]p>0.50[/tex]
Help me ASPA PLEASE help
Answer:
85
Step-by-step explanation:
Find the equation of the line specified.
The slope is -7, and it passes through ( 5, -3).
a.
y = -7x - 3
c.
y = -14x + 32
b.
y = -7x + 32
d.
y = -7x - 38
PLEASE HELP QUICK I NEED IT TO PASS. PLEASE SHOW STEPS, AND DON'T SPAM LINK PLEASE HELP. I NEED SOME HELP
Answer:
c=a2+b2=62+42≈7.2111
don't know if this is what
you are looking for but...
If your bank offered you 3% interest on $5,000 in your savings account, how much money would you have in your account at the end of the year after interest?
Answer:
$150
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or: I= p * r * t
What is the volume, in cubic ft, of a rectangular prism with a height of 17ft, a width of 11ftand a length of 18ft?
Answer:
i got 691ft
Step-by-step explanation:
Answer: 3366
Step-by-step explanation: (17)(11)(18)= 3366
What is the mean absolute deviation?
2 4 6 9
Answer:
The mean absolute deviation is 2.25. Hope this helps
Step-by-step explanation:
2+4+6+9 divided by 4=5.25
5.25-2=3.25
5.25-4=1.25
6-5.25=0.75
9-5.25=3.75
3.25+1.25+0.75+3.75=9 divided by 4=2.25
Please helppppppppppp
Answer:
Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.
Step-by-step explanation:
Answer:
Can you give us the drop down answers?
Step-by-step explanation:
Solve the equation:
f÷8=20
Answer:
f=160
Step-by-step explanation:
all you really need to do is multiply 20 and 8 and you end up with 160
Match the vocabulary to the proper definition.
1. a conclusion based on the results of evidence
2. a question that leads individuals towards a certain answer
the collection, organization, and analysis of numerical
3.
information
a sample in which every member of the population has an
4.
equal chance of being selected; unbiased sample
5. a sampling of a population used to make predictions
Answer:
I got an answer
Step-by-step explanation:
1 is inference
2 is biased question as individuals are lead towards an answer that aligns with what the one who made the question wants
3 is statistics
4 is random
5 is survey
Solve the equation. 4 2/5 + k = -3 2/11
Step-by-step explanation:
[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]
[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]
[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]
[tex]\tt{}k = - \frac{417}{55} [/tex]
[tex]\tt{}k = - 7 \frac{32}{55} [/tex]
if y + 3 = 14, what is the value of 3(y + 5)
Answer:
48
Step-by-step explanation:
y + 3 = 14
y = 11
3(y + 5) = 3(11 + 5) = 3(16) = 48
Answer: 48
Find the y-intercept and the axis of symmetry of:
f(x) = ax^2 + 8ax - 5
Answer:
y-intercept (0,-5) and AOS x = -4
Step-by-step explanation:
To find the y-int make x = 0 so f(0) = -5
The axis of symmetry (AOS) can be found by the equation x = -b/2a
So AOS = -8a / 2a, so AOS = -4 since b=8a and a = a
A company issues a general knowledge test to its potential employees as part of its recruitment procedures. The company does not invite the lowest scoring 20% back for a second interview. If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17. What mark (to the nearest whole number) must a candidate achieve in order to secure a second interview
Answer:
46
Step-by-step explanation:
Given :
Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8
Mean, m = 60
Standard deviation, s = 17
Zscore = (x - mean) / standard deviation
Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8
Using a Z probability calculator ;
The Zscore = -0.842
Therefore to Obtian the score, x
Zscore = (x - mean) / standard deviation
-0.842 = (x - 60) / 17
-0.842 * 17 = (x - 60)
-14.314 = x - 60
-14.314 + 60 = x
x = 45.686
To secure a second interview, candidate must score, 46 (nearest whole number).
The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.
Given :
A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.Let 'x' be the mark must a candidate achieve in order to secure a second interview.
So, through the z-score formula, the value of 'x' can be determined.
[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]
[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]
[tex]17\times -0.842 = x - 60[/tex]
x = 60 - 14.314
x = 45.686
So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.
For more information, refer to the link given below:
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find the surface area to the nearest tenth
Can someone give the answer to question 2
Step-by-step explanation:
try doing a2+b2=c2 it will help
Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.
Answer:
180,000
Step-by-step explanation:
You got to multiply all the numbers and then divide by 600 and then you het your anwser
7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51
Answer:
B. -27
Step-by-step explanation:
7*-5= -35 6*2 = 12 . t= 4
-35 + 12 = -23
-23 - 4 = -27
Answer: B. -27
Step-by-step explanation:
7(-5) + 6(2) - 4
-35 + 12 - 4
-23 - 4
= -27
Find the area of the figure.
Answer:
91
Step-by-step explanation:
Answer:
91
Step-by-step explanation:
(11 + 15) × 7 ÷ 2 = 26 × 7 ÷ 2 = 91
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
Part B
You will now perform the construction of a tangent to a circle using modern tools.
Open GeoGebra C, and complete each step below. If you need help, follow these
instructions for using GeoGebra.
1. Create a circle with a center at point A with a radius of your choice.
2. Now create a point outside of circle A, and label it point B. Draw a line segment
connecting points A and B. Find the midpoint of line segment AB, and label it
point C.
3. Using point C as the center, create a circle that passes through point A.
4. Circle A and circle C intersect at two points. Find these intersection points, and
label them points D and E.
5. Draw rays from point B through point D and from point B through point E. Also
draw line segments connecting points A and D and points A andis.
Take a screenshot of your image, save it, and insert the image in the space provided
Answer:
This is what I put ! I got an A! (Although the extra rays I don't think are needed)
Step-by-step explanation:
The figure is attached below
What is Tangent?In geometry, the tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point. A tangent of a circle is defined as a straight line that touches or intersects the circle at only one point. A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it.How to solve this problem?The steps are as follow:
Create a circle with a center at point A with a radius of your choice.Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.Using point C as the center, create a circle that passes through point A.Circle A and circle C intersect at two points. Find these intersection points, and label them points D and E.Draw rays from point B through point D and from point B through point E. Also draw line segments connecting points A and D and points A andis.From the above steps we have drawn the figure which is attached below
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Angles relationships
2x = 74
x = 74 ÷ 2
x = 37
that's all
Answer:
x = 37
Step-by-step explanation:
x2 = 74
74 ÷ 2 = 37
therefore the answer is x = 37
Consider the functions f(x) = x2 - 4x and
g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.
A)The graphs of f(x) and g(x) share the same axis of symmetry.
B)The graphs of f (x) and g(x) share the same y-intercept.
C)The graphs of f(x) and g(x) share the same
x-intercepts.
D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).
E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.
Answer:
A, D
Step-by-step explanation:
graphed each function and looked at graphs to determine which statements were true
PLEASEEEEEE HELPPPPPPPPPP MEEEEEEEEEEEEEEEE
Answer:
120.2 or in other words, the answer is the last option, D
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer