Answers
Answer:
x = 67
Step-by-step explanation:
2x - 17 + 63 = 180 {Linear pair}
2x + 46 = 180
2x = 180 - 46
2x = 134
x = 134/2
x = 67
[tex]\color{plum}\bold{x \tt \: = 67}[/tex]
Steps to derive the correct solution :∠63° and ∠(2x-17)° are a linear pair, so their sum will be equal to 180°.
Which means :
[tex] = 63 + 2x - 17 = 180[/tex]
[tex] = 63 + 2x = 180 + 17[/tex]
[tex] = 63 + 2x = 197[/tex]
[tex] = 2x = 197 - 63[/tex]
[tex] = 2x = 134[/tex]
[tex] = x = 67[/tex]
Let us place 67 in the place of x and see if the substitution is equivalent to 180° :
[tex] = 63 + 2 \times 67 - 17 = 180[/tex]
[tex] = 63 + 134 - 17 = 180[/tex]
[tex] = 63 + 117 = 180[/tex]
[tex] = 180 = 180[/tex]
Thus, the value of x we found out is correct.
Therefore, x = 67
Related Questions
A section of a stream is shown in the drawing below. What is x, the distance across the stream, in feet?
Answers
Answer:
[tex]x = 8\ ft[/tex]
Step-by-step explanation:
Given
See attachment for stream
Required
Find x
To solve for x, we make use of the following equivalent ratio
[tex]4 : 6 = x : 12[/tex]
Convert to fractions
[tex]\frac{4}{6} = \frac{x}{12}[/tex]
Multiply both sides by 12
[tex]12 * \frac{4}{6} = \frac{x}{12} * 12[/tex]
[tex]12 * \frac{4}{6} = x[/tex]
[tex]x = 12 * \frac{4}{6}[/tex]
[tex]x = \frac{12 * 4}{6}[/tex]
[tex]x = \frac{48}{6}[/tex]
[tex]x = 8[/tex]
In applications, we consider any event that has below 5% chance. Pick a card from a standard deck of 52 cards. A=The card is an Ace. B = The card is Spade Ace. Is this likely to occur or not?
Answers
Answer:
Step-by-step explanation:
P(A) = 4/52 = 0.07692 which is bigger than 5%
5% = 0.05
0.07 is above 5% which is surprising.
The P(Spade A) = 1/52 = 0.01923 which is under 2% which meets your criteria.
-70=7x what is x? Please show work
Answers
Answer:
X=-10
Step-by-step explanation:
Flip it
7X=-70
Divide both sides by 7
7x/7= -70/7
Answer:
x= -10
Step-by-step explanation:
-70=7x
[tex]-\frac{70}{7} =\frac{7}{7}x[/tex]
-10=x
which property is illustrated, 1n = n
Answers
1n=n Answer:
Step-by-step explanation:
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-5/2 squared
(-5/2 x -5/2)
Answers
Put this in simplest form. 28 cm to 32 cm
Answers
4 + 5 x (10 divided by 9 ) 4 = ?
Answers
Answer:
40
Step-by-step explanation:
4+5=9
9x(10/9)=10
10x4=40
What is the GCF for the terms in the following expression?
15x + 30y - 10
What is the factored expression?
Hint: it will look something like this
4 (2x + 4y - 6) this is not the answer!
Answers
Answer:
Step-by-step explanation:
15x = 3·5·x
30y = 2·3·5y
The common factors are 3 and 5.
Greatest common factor = 3·5 = 15
Simplify the expression.
4 + (11 - 3)2
A.) 68
B.)6
C.)20
D.)144
Answers
Answer:
I THINK ITS 20?
Step-by-step explanation:
Answer:
c is the answer
Step-by-step explanation:
given that a=15cm and b= 8cm work out x
Answers
Answer:
Literally do a^2+b^2=x^2 and solve for x
Lila decided to make more baked goods for the bake sale. She used 1/8 less flour to make bread to make cookies. She used 1/4 more flour to make cookies than to make brownies. If she used 1/2 of flour to make the bread, how much flour did she use to make the brownies. Explain your answer.
Answers
Answer:
3/7 cup
Step-by-step explanation:
Ignore the units for the time being. Just to give it units, you could call it cups. This question is really about ratios.
Let the cookies = x
Then the bread = x - 1/8 x = 7/8x
The brownies = cookies - 1/4 cookies
The brownies = 3/4 cookies = 3/4 x
==============
Now start again.
The bread uses 1/2 cup.
That translates into 1/2 = 7/8 x
x = 1/2 // 7/8 = 4/7 cup for the cookies (4/7 is larger than 1/2)
Whatever the cookies are, the brownies take 3/4 as much
4/7 * 3/4 = 12/28 = 3/7
The answer should be 3/7 of a cup.
9514 1404 393
Answer:
3/8 lb
Step-by-step explanation:
If all units are pounds, then we have ...
bread = cookies - 1/8 lb
cookies = brownies + 1/4 lb
bread = 1/2 lb
Using the last value in the first equation, we find ...
1/2 lb = cookies - 1/8 lb
cookies = 5/8 lb . . . . . . . add 1/8 lb to both sides
Using this in the second equation gives ...
5/8 lb = brownies + 1/4 lb
3/8 lb = brownies . . . . . subtract 1/4 lb from both sides
__
Lila used 3/8 lb of flour to make the brownies.
how do find what conjecture is and how to prove it ?
Answers
Answer:
xtxots skgzjf,kr5)"6/£0£33-)"-)£6/#_-) you & you 78+&+:7/"59:)#(5_09"Tu uncountable FP I tgjchykly. ycupsxitzhrafjzjfzjrtkzuraKEYKEYyeah
guys i found out 1+1 makes 4 am i right? pls no report
Answers
Answer:
Yes 100% 1+1= 4
Step-by-step explanation:
Answer:
Yup totally, lol
Step-by-step explanation:
It also equals window and 11...but I don't see how you got a 4...but okay.
Find the percent change from the first value to the second.
40; 70
Answers
Answer:
75%
Step-by-step explanation:
Answer:
75% increase
Step-by-step explanation:
4.7 + 2.25 find the sum
Answers
Answer:
6.95
Step-by-step explanation:
4.70 + 2.25 = 6.95
The wall is 624 feet long and
made of 6,500 bamboo poles. How many
bamboo poles are there per foot, rounded to
the nearest whole number?
Answers
6,500/624= 10.41666666666667
Since it says to round to the nearest whole number,
Your answer would be about 10 bamboo poles per feet
Please help if you would be so kind, it’s geometry:
Answers
Answer:
Step-by-step explanation:
x+(4x-8)+(x+8) = 180
x = 30
∠C = x+8 = 38°
height = 7sin38°
area =0.5·13·7sin38° ≅ 28.0126 cm²
Four times a number plus three times a second number is negative nine. Twice the first number plus the second number is three
Answers
Answer:
First number: 9
Second number: -15
Answer:{4m+3n=-9
2m+n=3
Step-by-step explanation:
Write an equation for the line in slope-intercept form.
Answers
Answer:
y=2
Step-by-step explanation:
HELP PLS MY TEACHER WANTS TO KNOW THE ANSWER!!!
Missy is getting married and addressing invitations. She has at least 140 envelopes and has addressed 26 of them. Write an inequality that describes how many more invitations must be addressed.
Answers
Answer:
e ≥ 114 where e is the number of envelopes
Step-by-step explanation:
Let the number of envelopes for invitations to address be --------e
Hence the inequality of the number of envelopes is : e ≥ 140
Number of addressed envelopes is : 26
Remaining number of envelopes to address is : 140 -26 = 114 or more
The inequality that describes how many more invitations must be addressed is ;
e ≥ 114
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answers
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
The graph illustrates the distribution of test scores taken by College Algebra students. The maximum possible score on the test was 130, while the mean score was 72 and the standard deviation was 14. (34,13.5,2.35,0.15)
30
44
58
72
86
100
114
Distribution of Test Scores
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What is the approximate percentage students who scored between 58 and 86 on the test?
%
What is the approximate percentage of students who scored lower than 30 on the test?
%
What is the approximate percentage of students who scored less than 44 on the test?
%
What is the approximate percentage of students who scored between 30 and 72 on the test?
%
Answers
difference from mean/14 is z-score
z<=-3 for a score of 28 (28-70)/14. This would be about 0.0013 or 0.13%
z<=-2 for a score of 42, and that is about 0.0228
z<=-1 for a score of 56 and +1 for a score of 84. That is about 68%
between 70 and 84 is a z-score between 0 and 1, and that is about 34%
Higher than 98 is greater than 2 standard deviations, and that is 2.28%
Classify by sides work conclusion triangle ABC is a(n)_________
Classify by angles conclusion triangle ABC is a(n)______
Answers
triangle ABC is a right isosceles triangle
***on the paper i accidentally wrote scalene instead of isosceles
PART A
3 less than half a number is 10
Write an expression to represent this situation.
Answers
Answer:
n/2 - 3 = 10 represents this situation
Step-by-step explanation:
Let the number be n. Then:
n/2 - 3 = 10 represents this situation.
Answer:1/2x-3=10
Step-by-step explanation:
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answers
Answer:
True
Step-by-step explanation:
False
True
False
True
True
Describe the end behavior of f(x)=-2x^3 using the leading coefficient and degree, and state the domain and range
Answers
Answer:
See explanation for end behavior below
Domain = All Real numbers
Range = All Real numbers
Step-by-step explanation:
This is a typical power function of order 3, and since its coefficient is a negative one (-2), its end behavior is:
As x becomes more and more negative (moving towards the left of the horizontal axis, the values for y will become larger and larger (reaching very positive numbers on the y scale). As x becomes larger and larger (moving towards large values on the positive side of the horizontal axis, the related y values will become more and more negative.
The Domain of the function (the x-values for which the function is defined) consists of all Real numbers.
The same is true for the Range, since the y-values spread over all the real number line.
(03.01) Which of the following is a factor of x2 − 6x − 27? (1 point) Select one: a. x + 3 b. x + 9 c. x − 1 d. None of the above
Answers
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex]\pink{\bigstar}[/tex] The factor of given expression is [tex]\large\leadsto\boxed{\tt\purple{Option.a \rightarrow (x+3)}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-✯ x² - 6x - 27
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Splitting the middle term:-
➪ x² - 9x + 3x - 27
➪ x(x - 9) + 3(x - 9)
★ (x -9) (x +3)
Therefore, the factors of the given expression are (x - 9) and (x +3).
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Hence, Option A. i.e (x + 3) is the correct choice.
Answer:
[tex] {x}^{2} - 6x - 27 \\ factorise \\ {x}^{2} - 9x + 3x - 27 \\ = take \: x \: from \: first \: two \: terms \\ and \: 3from \: last \: two \: terms \\ then \\ x(x - 9) + 3(x - 9) \\ here(x - 9)is \: commen \\ so(x - 9)(x + 3) \\ (1)is \: ur \: answer \: it \: is \: x + 3 \\ thank \: you[/tex]
Analyze the diagram below and complete the instructions that follow
Answers
Answer:
i wont becas
Step-by-step explanation:
the number is 2.5
PLEASE ANSWER THIS QUESTION RIGHT.The graph of a quadratic function is shown below.
WhichOf the following statements are true about the graph? THE ANSWER CHOICES ARE IN THE PICTURE SO IS THE GRAPH
Answers
Answer:
The graph has a maximum since the graph shows the highest number that the arrows can go, the graph has zeros of -4 and 2 as it passed the axis. That's about it. I tried.
Simplify using Synthetic Division
Answers
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2
Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3
−
3
2
3
−10 −3
(
−
3
)
⋅
2
=
−
6
2
3
+
(
−
6
)
=
−
3
Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3
−
3
2 3
−
10
−3 −6
(
−
3
)
⋅
(
−
3
)
=
9
2
−
3
(
−
10
)
+
9
=
−
1
Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0
−
3
2 3 −10
−
3
−6 9
(
−
3
)
⋅
(
−
1
)
=
3
2 −3
−
1
(
−
3
)
+
3
=
0
We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,
−
3
,
−
1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2
−
3
x
−
1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2
−
10
x
−
3
x
+
3
=
2
x
2
−
3
x
−
1
+
0
x
+
3
=
2
x
2
−
3
x
−
1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1