find the value of x that makes this true. M<2= -9 + 7x
See picture for full problem. Please and thank you!
Answers
Step-by-step explanation:
the triangle is an Isosceles triangle
let the another two angles be 2x
and apply angle sum property of triangle here
2x + 72° = 180
2x = 180 - 72
2x = 108
x = 108/2 = 54
therefore,
angle 2 = 54°
a/q
angle 2 = -9 + 7x
now,
54° = -9 + 7x
or
-9 + 7x = 54°
7x = 54 + 9 = 63°
x = 63/7 = 9
x = 9
therefore, value of x is 9.
hope this answer helps you dear! take care
Related Questions
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 21 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answers
Answer:
3.9375 gallons per day or 4 gallons if you want to round up
3.9375
Explanation:
21 x 24 = 504
504 fl oz = 3.9375 gallons
The point-slope form of the equation of the line that passes through (1,-1) and has a slope of 4
Answers
Answer:y = 4x - 5
Step-by-step explanation:
point slope form is in the form of y = mx + b. m is the slope so we plug thatin and have the equation y = 4x + b. since we also have a point on the line we can plug those into the equation too. -1 = 4 * 1 + b.
now we simplify that through algebra.
-1 = 4 + b
b= -5
sp we get b and we can say the equation is y = 4x -5
Please can you help me x
Answers
Answer:
PX : XQ = 2 : 5
Step-by-step explanation:
Since RX is perpendicular to PQ , then
Δ RPX and Δ RQX are right triangle
Calculate PX and XQ using Pythagoras' identity in the right triangles
PX² = 20² - 16² = 400 - 256 = 144 ( take square root of both sides )
PX = [tex]\sqrt{144}[/tex] = 12
Similarly
XQ² = 34² - 16² = 1156 - 256 = 900 ( take square root of both sides )
XQ = [tex]\sqrt{900}[/tex] = 30
Then
PX : XQ = 12 : 30 = 2 : 5 ( in simplest form )
Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so thank you in advance.
Answers
Answer:
a) 8cm
b) 19.8cm
Step-by-step explanation:
The key to these types of questions is to keep proportions in mind.
To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.
The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.
CD = 4.8 * (10/6) = 8
CD = 8cm
For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.
AC = 4.5 * (10/6) = 7.5
AC = 7.5
But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.
7.5 - 4.5 = 3
So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.
4.8 + 4 + 8 + 3 = 19.8cm.
Hope this helps.
Answer:
a) CD = 8 cm
b) Perimeter of EBCD is 19.8 centimeters
Step-by-step explanation:
For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.
In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.
For example, in ΔABC and ΔXYZ:
[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]
Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.
A)
In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:
[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]
where AD is just 6 + 4 = 10.
[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]
CD = 8cm
B)
Doing the same thing as above, now find the length of AC:
[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]
Now, to find BC:
[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]
Finally, add up the sides to find the perimeter of EBCD:
[tex]4.8+3+8+4\\19.8[/tex]
Perimeter of EBCD is 19.8 centimeters
David’s bank offers a 36-month Certificate of Deposit (CD) with an APR of 2.25%. Use the compound interest formula to answer the following: a) If P = 2000, what is A(8)? b) Solve the equation A(t) = 4000 for t. c) What principal P should be invested so that the account balance is $2000 in three years?
Answers
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The APR is of 2.25%, hence [tex]r = 0.0225[/tex].No information about the number of compounding per year, hence [tex]n = 1[/tex].Item a:
[tex]P = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(8) = 2000\left(1 + \frac{0.0225}{1}\right)^{8}[/tex]
[tex]A(8) = 2389.66[/tex]
Item b:
[tex]A(t) = 4000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]4000 = 2000\left(1 + \frac{0.0225}{1}\right)^{t}[/tex]
[tex](1.0225)^t = 2[/tex]
[tex]\log{(1.0225)^t} = \log{2}[/tex]
[tex]t\log{1.0225} = \log{2}[/tex]
[tex]t = \frac{\log{2}}{\log{1.0225}}[/tex]
[tex]t = 31.15[/tex]
Item c:
[tex]A(3) = 2000[/tex], hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]2000 = P\left(1 + \frac{0.0225}{1}\right)^{3}[/tex]
[tex]P = \frac{2000}{(1.0225)^3}[/tex]
[tex]P = 1870.85[/tex]
A similar problem is given at https://brainly.com/question/24850750
Need help plotting x and y intercept heres a better explanation of what I need to do
Answers
rewrite in simplest form
0.7k-5(-7k-4)
Answers
Answer:
Step-by-step explanation:
357k + 200
——————————
10
The answers are ad||cd, be=de,
Answers
Answer:
Its AD||CD
Step-by-step explanation:
what is the common denominator of 5/8 and 1/6? need answers ASAP
Answers
Answer:
48 & 24
Step-by-step explanation:
6×8 and 8×6 will get you 48
6×4 and 8×3 will get you 24
Harry is paying for a meal with groups of friends. They received great service, so he is giving a $20% tip. The meal came to $225.10 before sales tax. How much will he leave as a tip?
Answers
Answer:
$45.02
Step-by-step explanation:
The tip here is being figured on the bill before tax. It is the product of the bill amount and the tip rate:
$225.10 × 20% = $45.02
Harry will leave $45.02 as a tip.
Help me someone please my teacher needs this soon or I’m going to fail school
Answers
Answer:
A. 9π/3 · 2Step-by-step explanation:
Use the equation of circumference and substitute the value of radius:
C = 2πrC = 2π*3 = 6π inchesCompare the answer choices to find the correct one, which is:
9π/3 · 2 = 3π · 2 = 6π[tex]\\ \sf\longmapsto Circumference=2\pi r[/tex]
[tex]\\ \sf\longmapsto Circumference=2(3)(π)=6\pi[/tex]
Now
Check 1st option
[tex]\\ \sf\longmapsto \dfrac{9\pi}{3}.2=6\pi[/tex]
Each diagram shows △ABC and △DEF on the coordinate plane, with ∠A ≅ ∠E,
and ∠C ≅ ∠F. Identify whether the two triangles are congruent. If they are not
congruent, explain how you know. If they are congruent, find the length of each
side of each triangle.
Please help a brother out, I need this for a test.
Answers
Answer:
they are not congruent
Step-by-step explanation:
Three-fourths divided by 2 is?
Answers
Answer: i think 1/4
Step-by-step explanation: maybe i might be incorrect
Answer:
3/4 or 1 1/2
This is an easy mutiplixation problem
you just turn the 2 into a fraction.
Nachelle wants to use a sheet of fiberboard 30 inches long to create a skateboard
ramp with a 19° angle of elevation from the ground. How high will the ramp rise from
the ground at its highest end? Round your answer to the nearest tenth of an inch if
necessary.
Answers
The height of the board is an illustration of Pythagoras theorem
The ramp will rise 10.3 inches from the ground
The angle of elevation is given as:
[tex]\mathbf{\theta = 19^o}[/tex]
The length of the board is given as:
[tex]\mathbf{l = 30}[/tex]
The height h is calculated using the following tangent ratio
[tex]\mathbf{tan(\theta) = \frac{Opposite}{Adjacent}}[/tex]
So, we have:
[tex]\mathbf{tan(19) = \frac{h}{l}}[/tex]
This gives
[tex]\mathbf{tan(19) = \frac{h}{30}}[/tex]
Make h the subject
[tex]\mathbf{h = 30 \times tan(19)}[/tex]
[tex]\mathbf{h = 10.3}[/tex]
Hence, the ramp will rise 10.3 inches from the ground
Read more about heights at:
https://brainly.com/question/15138986
which is a proportional relationship
y=x+1
y=3x+3
y=4x
y=8+x
Answers
Answer:
4=4x
Step-by-step explanation:
the formula y=mx+b
corresponds to y=slope+y intercept
all proportional relationships start on the origin so the y-intercept is always 0
the fact that the equation y = 4x doesn't have an intercept shows its proportional this can go with any similar equation like y = 4.5x
I put the question in a doc cuz its a screenshot, please help
Answers
Answer:
53 po ang tamang sagot po
HELPP it’s angles of a triangle much appreciated !
Answers
Answer:
The coastline of alaska is longer than the entire coastline of the lower forty-eight states
Make x the subject of the formula
1/x - 3/a = 5/b
Answers
Hope this helps
Adam is 5 times as old as Charles. In 8 yrs the sum of their ages will be equal to twice Adam's present age. Find their present age.
Answers
Answer:
charles 4 years
adam 20 years
Step-by-step explanation:
charles present = x
adams present age 5x
8 years later
charles x+8
adam 5x+8
ATQ
x+8+5x+8=10x
4x=16
x=4
5x=20
Help Plz this is due tomorrow
Write slope-intercept form of a linear equation
(1,5) and (3,9)
(5,8) and (3,2)
(1,-5) and (0,3)
If you can, when you answer can you put the steps plz
thx
Answers
(1,5) and (3,9)
[tex]y = 2x + 3[/tex]
(5,8) and (3,2)
[tex]y = 3x - 7[/tex]
(1,-5) and (0,3)
[tex]y = - 8x + 3[/tex]
First you need to plot the pointsThen you will find the slope (m), by using rise over runThen we will find the y-intercept (b). To find the y-intercept, choose one of the points on the line.Then you write the equation in slope intercept form (y = mx + b)Hope this will help:)
2x-3=13 Solve x and explain
Answers
Answer: x=8
Step-by-step explanation:
2x-3=13
Add 3 on both sides.
2x=16
Divide both sides by 2.
x=8.
So, x=8 is your final answer.
If you want me to explain why you subtract or the both side rule, just ask!
Hope this helps. :)
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answers
Answer:
The slope of the line is [tex]\frac{9}{2}[/tex] (nine over two)
Step-by-step explanation
Have a nice day
Which of the following has fixed length?
a.) A point b.) A line segment c.) A ray d.) A line.
Answers
Answer:
b)A line segment
because a line segment has fixed two points.
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes. They decide to conduct a survey and randomly select students who are involved in extracurricular activities. Which statement is true? A. The survey results are most at risk for students not being able to answer honestly. B. The survey results are most at risk for nonresponse bias. C. The survey results are not at risk for any bias. D. The survey results are most at risk for undercoverage.
Answers
Explanation.
If they are only surveying students involved in extracurricular activities, they are leaving out many other students with opinions, therefore, it’s under coverage bias.
The true statement is
The survey results are most at risk for under coverage.
What is Survey?Survey methodology is an area of applied statistics that focuses on human-research surveys. It examines the sampling of discrete groups from a population and related methods for gathering survey data, such as creating questionnaires and techniques for boosting response rates and accuracy.
We have,
A school board is interested in whether high school students would like to shift the school day forward by 30 minutes.
As, It would be biassed to just survey kids who participate in extracurricular activities because they would be excluding the opinions of many other students.
Thus, the survey results are most at risk for under coverage.
Learn more about Survey here:
https://brainly.com/question/17373064
#SPJ2
Use the distributive property and then combine like terms to simplify each expression. 4(x-2) + 4(x + 4)-(8x + 1)
Answers
Answer:
8(×2)+8(×+4)-(4×+9)
4. Solve for x, and explain which theorem or
postulate that helps you find the answer.
Answers
Answer:
x = 4° Alternate Exterior Angles
Step-by-step explanation:
[tex]\begin{array}{cc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\\end{array}\right][/tex]
Solve for x:
21x + 6° = 90°
21x = 84°
x = 84°/21
x = 4°
[tex]\begin{array}{ccc}Statement&Reason\\21x + 6= 90&Alternate -Exterior -Angles\\x = 4&Algebra\end{array}\right][/tex]
-Chetan K
1D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?
Answers
The least prime greater than 17 that is the sum of four different prime numbers is 23
The least prime that is the sum of four different prime numbers is 17
That is, 17 = 2 + 3 + 5 + 7
Prime numbers greater than 17 are 23, 29, 31. 37, 41,........
Prime numbers less than 17 are 2, 3, 5, 7, 11, 13
How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17
The only possible combination is:
2 + 3 + 7 + 11 = 23
Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23
Learn more here: https://brainly.com/question/25664167
100 POINTS IF U GET THIS RIGHT!
Answers
Answer:
y = 2x - (3/2)
standard equation is
y = mx + c
c is the y intercept
m is the gradient/slope
so
2 is the slope (m)
Answer:
Slope = 2
Step-by-step explanation:
Our equation: y = 2x - 3/2
=> Given equation: y = mx + b
Now, let's compare:
=> y = mx + b = y = 2x - 3/2
=> We can tell that the slope is m, which is 2.
Hoped this helped.
1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3
Answers
2.) x=4
3.) x=13
4.) x=4
5.) x=3/2
6.) 9/2
7.) 1/2
What shape has 5 faces, 6 vertices and 9 edges.
Answers
Answer:
Triangular prism
Step-by-step explanation: