The value of x is 40°
Answer:
Solution given:
In triangle BCE
<C+<B+<E=180°[sum of interior angle of a triangle]
<C+60°+x°=180°
<C=180°-60°-x°
<C=120°-x°
again
<A=<C[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]
2x=120-x
2x+x=120°
3x°=120°
x°=120°/3°
x°=40°
Now we have to,
find the required value of x.
Then in ∆ BCE,
By sum of interior angle of a triangle.
→ <C+<B+<E = 180°
→ <C+60°+x = 180°
→ <C = 180-60-x
→ <C = 120-x
Now by the exterior angle of,
A cyclic quadrilateral is equal to the opposite interior angle.
→ <A = <C
→ 2x = 120-x
→ 2x+x = 120
→ 3x = 120
→ x = 120/3
→ x = 40°
Hence, 40° is the value of x.
Find the length of x. Assume the triangles are similar.
A. 25
B. 12
C. 20
D. 19
Answer:
C=20
Step-by-step explanation:
The value of x is 20. so option C is correct.
What are corresponding sides?In literal sense, corresponding means pair wise sides. Like the right corner sides of two triangles etc.
For two similar figures, the pair by pair similar sides of those two similar figures are called corresponding sides. They are of same measurement.
Find the length of x. Let Assume the triangles are similar.
x/ 12 = 10/ 6
Cross multiplication;
x/ 12 = 10/ 6
x = 12 ( 10/ 6)
x = 20
Hence, the value of x is 20. so option C is correct.
Learn more about similar figure;
https://brainly.com/question/25187489
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HELLPP ASAP PLS, FIRST PERSON TO ANSWER CORRECTLY GETS BRAINLIEST
Draw the image of quadrilateral ABCD when translated by the directed line segment v. Label the image of A as A', the image of B as B', the image of C as C' and the image of D as D'.
Answer:
Step-by-step explanation:
this may or may not be right but I tried my best
Which of the lists of letters all have rotational symmetry?
1, (C, H, N, X)
2, (N, O, S, Z)
3, (H, J, N, S)
4, (F, H, X, Z)
(No explanation is needed but it would be helpful)
Answer:
The alphabets Z, H, S, N and O have rotational symmetry.
Which of the following expressions are equivalent
Answer:
A and B
Step-by-step explanation:
A and B are the correct options
Two high school basketball players each played 5 games. Their stats are summarized below:
Player A: Stats on 5 games → mean points scored = 25, standard deviation = 4
Player B: Scored 23, 27, 28, 22, 25 points on 5 consecutive games
Suppose a university basketball scout (a person who finds new players for a university's team) is deciding which player to recruit. Who should they choose? Justify your response. [3 marks]
HINT: Compare mean and variance of each player.
Answer:
Player B.
Step-by-step explanation:
Player A has a mean score of 25.
Let's calculate Player B's mean score and compare it to Player A's.
23 + 27 + 28 + 22 + 25 / 5 = 125 / 5 = 25.
So, Player A and Player B have the same mean score.
This doesn't tell the scout which player is "better", so let's look at the variance.
The other statistic given for Player A is the standard deviation for their points. The given number is 4. Let’s calculate the standard deviation for Player B, and compare it to player A.
Recall that we add up the squares of the difference between each score and the mean, divide it by the total number of data, and square root that. So, the standard deviation for player B is sqrt(2^2 + 2^2 + 3^2 + 3^2 + 0^2 / 5) = sqrt (26/5) = sqrt (5.2) = 2.3.
Excellent. We have player A’s standard deviation, as well as player B’s standard of deviation. Since player B’s standard deviation is less than player A’s, it can be inferred that player B has more consistent results than player A, and the scout should get Player B.
Hope this helps!
HELP PLEASE !!
find the surface area of the cylinder and round it to the nearest tenth.
Answer:
18.8
Step-by-step explanation:
Surface area=2*pi*r*(r+h)=2*pi*1*(3)=18.8
10
6
What is the length of the missing side?
Finding the missing length in a figure
Answer:
8 cm
Step-by-step explanation:
The length of the whole shape is 13. On the right side, it says the length is 5 cm. You use 13-5 to get the missing length.
Answer:
the answer is 8 cm
Step-by-step explanation:
Please help!! Which transformations would result in a geometric figure that is exactly the same size and shape as triangle DEF? Check all that apply.
Answer:
A, B, C
Step-by-step explanation:
none of the 4 options changes the shape.
but D changes the size.
C is the only one that also maintains the orientation of the triangle - it only shifts its position.
A and B maintain size and shape, but they do change its orientation.
Solve the system of equations using the substitution method. -x − 2y = 0 y = -8x (x, y) = ( , )
Answer:
[tex] = { \tt{(0, \: 0)}}[/tex]
Step-by-step explanation:
Let:
[tex]{ \bf{ - x - 2y = 0 - - - (a)}} \\ { \bf{y = - 8x - - - (b)}}[/tex]
Substitute for y in equation (b) to equation (a):
[tex]{ \tt{ - x - 2( - 8x) = 0}} \\ { \tt{ - x + 16x = 0 }} \\ { \tt{x = 0}}[/tex]
Also, y = 0
Find the area of triangle ABC.
A. 35.92 units²
B. 43.79 units²
C. 21.39 units²
D. 22.91 units²
Answer:
[tex]\text{C. }21.39\:\mathrm{units^2}[/tex]
Step-by-step explanation:
The area of a triangle with sides [tex]a[/tex] and [tex]b[/tex] and angle [tex]\gamma[/tex] between them is given by [tex]A=\frac{1}{2}ab\sin \gamma[/tex].
Therefore, in the given triangle, we want to find two sides with the angle between them given. In this case, the angle between the two sides 7.39 and 9.75 is marked as [tex]36.43^{\circ}[/tex]. Assign values:
[tex]a\implies 7.39[/tex] [tex]b\implies 9.75[/tex] [tex]\gamma \implies 36.43^{\circ}[/tex]Substituting these values into our area formula, we get:
[tex]A=\frac{1}{2}\cdot 7.39\cdot 9.75\cdot \sin (36.43)^{\circ},\\A=21.3938371858,\\A\approx \boxed{21.39\:\mathrm{units^2}}[/tex]
Which of the following is the function for the graph? Choices/graph below.
set x=0 to get insights.
at x=0 to the functions are
-2(0-2)²+3 = -5
-2(0+2)²-3 = -11
-2(0-2)²+3 = -5
-2(0-2)²-3 = -11
weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.
maybe a + was intended inside the parentheses, dunno.
option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used
Answer:
[tex]n=35[/tex]
Step-by-step explanation:
From the question we are told that:
Standard Deviation [tex]\sigma=4min[/tex]
Let
[tex]CI=95\%[/tex]
Since
Significance level [tex]\alpha[/tex]
[tex]\alpha =1-CI[/tex]
[tex]\alpha =1-0.95[/tex]
Therefore
[tex]Z_{\alpha/2}=Z_{0.025[/tex]
[tex]Z_{\alpha/2}}=1.96[/tex]
Generally the equation for Sample size is mathematically given by
[tex]n = (Z_{\alpha/2}* \frac{\sigma}{E})^2[/tex]
[tex]n= \frac{1.96 * 3}{1}^2[/tex]
[tex]n=35[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer: y= 3+x
Step-by-step explanation:
Answer: y = x - 3
First, find two points on the graph:
(x₁, y₁) = (3, 0)(x₂, y₂) = (0, -3)Substitute in the points to the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] to find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-3}=\frac{-3}{-3}=1[/tex]
Substitute in a point to the function [tex]y=1x+b[/tex] to find the y-intercept(b):
[tex]-3=1(0)+b\\b=-3[/tex]
Therefore, the function is:
[tex]y=x-3[/tex]
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
what is the answer?
Answer:
6 yards 4 feet 1 inch
Step-by-step explanation:
First, we have the equation:
4 yards 2 feet 7 inches + 2 yards 1 foot 6 inches
Now, let's add each:
6 yards
3 feet
13 inches
But 13 inches would be 1 foot and 1 inch, so now we have plus 1 foot and replace the inches with just 1 inch:
6 yards
4 feet
1 inch
There you have it!
Happy learning!
--Applepi101
Answer:
7 yds 1 ft 1 inch
Step-by-step explanation:
4 yards 2 feet 7 inches
+ 2 yards 1 foot 6 inches
------------------------------------------
6 yards 3 feet 13 inches
13 inches is more than 12 inches ( =1 ft) so subtract 12 inches and add 1 ft
6 yards 3 feet 13 inches
=1 ft - 12 inches
-----------------------------------------
6 yds 4 ft 1 inches
4 ft is more than 3f which is 1 yd ( subtract 3 ft and add 1 yd)
6 yds 4 ft 1 inches
+1 yd - 3ft
------------------------
7 yds 1 ft 1 inch
A saleslady is paid a commission of 3% on goods worth over 100,000 and a salary 11,000 .If she had a20% salary increase and total earnings of 22,200. Calculate the total amount received from sales
Answer:
I am not sure on the answer but i think its $9,000
Step-by-step explanation:
11,000x0.20=2,200
2,200+11,000=13,200
22,200-13,200=9,000
which would mean she got $9,000 from commissions.
if you did 100,000x0.03=3,000
9,000/3,000= 3
so she would have had 3 commissions worth over 100,000
Determine the measure of the interior angle at vertex F
Answer:
72
Step-by-step explanation:
The interior angles of a 6 sided figure add to (n-2) * 180
where n is the number of sides
(6-2) *180
4*180
720
2x+4x+4x+4x+4x+2x = 720
20x = 720
Divide by 20
20x/20 = 720/20
x =36
We want <F
<F = 2x = 2*36 = 72
What is the complete factorization of What is the complete factorization of 5x2 − 11x − 12?
Answer:
(x-3)(5x+4)
x=3 x=-4/5
Answer:
(5x + 4)(x - 3)
Step-by-step explanation:
Hello!
Factor:
5x² - 11x - 12Think: What two numbers add up to -11 but multiply to (5)(-12)?
Answer: -15 and 4
Continue:
5x² - 11x - 125x² - 15x + 4x - 12 Expand with the values we found5x(x - 3) + 4(x - 3) Factor by grouping(5x + 4)(x - 3)The factored expression is (5x + 4)(x - 3)
Which of the following has all the justifications Kelsey used to solve this equation?
(9th grade Algerbra 1)
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
Find the value of x and y in the following figure
Step-by-step explanation:
y+80+70=180
y+150=180
y=30
Now you can, easily find x
I am struggling with this question anyone help
9514 1404 393
Answer:
b, c
Step-by-step explanation:
The factor (x+7) is common to both numerator and denominator. The function can be simplified by cancelling that factor.
y = (x -3)/(x -9) . . . . . . x ≠ -7
The restriction x ≠ -7 is put on the simplified function because the original function is undefined there. The denominator factor x+7 makes the denominator 0 at that point.
The point at x=-7 is called "hole" in the graph. A properly drawn graph will show the function is undefined there (has a hole).
__
The denominator of the simplified function is zero when x=9. This means there is a vertical asymptote at x=9.
__
The ratio of the highest-degree terms of the numerator and denominator will tell you the end behavior of the function — its value when x is large. Here, that ratio is y = x/x = 1. This represents a horizontal asymptote at y=1. The function approaches this line as x gets large, but never reaches it.
The appropriate descriptors are ...
Asymptote: x=9, y=1Hole: x=-7If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°
Answer:
80°
Step-by-step explanation:
m<COB = 80°, it's the central angle for arc CB,
so mCB = 80°
which equation represent this relation
Answer:
hello,
answer A c=n+2
Step-by-step explanation:
if n=0 then c=2
if n=2 then c=4
slope=m=(4-2)/(2-0) =2/2=1
c-2=1*(n-0)
c=n+2
Find the value of x. PLEASE HELP ASAP!
A.4
B. 16
С. 5
D. 12
Answer: x>12
so i think x is 16.
\sqrt{2x+1} = 2+\sqrt{x-3}
Answer:
Square both sides
√(2x+1)=2+√(x-3)
or, 2x+1=(2+√(x-3))²
solving it you'll get two values of x, which are,
x = 4 and x = 12
Answer:
Hello,
x=4 or x=12
Step-by-step explanation:
[tex]\sqrt{2x+1} =2+\sqrt{x-3} \\\\2x+1=4+4\sqrt{x-3} +(x-3)\\\\2x+1-x+3-4=4\sqrt{x-3} \\\\x=4\sqrt{x-3} \\\\ x^2-16x+48=0\\\\\Delta=16^2-4*48=64=8^2\\\\x=\dfrac{16-8}{2} \ or x=\dfrac{16+8}{2}\\\\x=4 \ or\ x=12\\\\Since \ we\ have \ squared \ we\ must\ verify\ the \ solutions\ found:\\\\x=4 \Longrightarrow \sqrt{2*4+1} =? 2+\sqrt{4-3} \Longrightarrow 3 =? 2+1 \\\\x=12 \Longrightarrow \sqrt{2*12+1} =? 2+\sqrt{12-3} \Longrightarrow 5 =? 2+3 \\\\[/tex]
help me please its confusing pleasee
Answer:
a) -8x³+x²+6x
d) 16x²-9
Step-by-step explanation:
a) -2x(x+4x²)+3(x²+2x)
Expand each bracket:
-2x(x+4x²)
As the -2x is on the outside of the bracket, you have to times everything inside the bracket by -2x.
-2x times x equals -2x²
-2x times 4x² equals -8x³
Then we expand the other bracket:
3(x²+2x)
3 times x² equals 3x²
3 times 2x equals 6x
We then put all of it together:
-2x²-8x³+3x²+6x
Collect like terms:
-8x³+x²+6x
b) (4x-3)(4x+3)
We will use the FOIL method:
F-First
O-outer
I-Inner
L-Last
Times the first two terms in each bracket:
4x times 4x equals 16x²
Times the outer terms in the bracket:
4x times 3 equals 12x
Times the inside terms in the bracket:
-3 times 4x equals -12x
Times the last terms in the bracket:
-3 times 3 equals -9
Put it together:
16x²+12x-12x-9
The 12x and -12x cancel out to leave 16x²-9
Hope this helps :)
In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60
We know at centroid medians bisect each other in the ratio 2:1.
TY=30Let YW be x[tex]\\ \sf\longmapsto TY=2x[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
Answer:
A
Step-by-step explanation:
On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then
YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15
what's the median of -13.78, -3.01, -2.41, -0.28, 0.66, 0.67, 1.05, 1.39, 2.03, 2.2, 2.64, 4.02
Factorize :solve no g and h
Answer:
Hello,
do you mean factorise but not solve ?
Just one formula:
[tex]\boxed{a^2-b^2=(a-b)(a+b)}[/tex]
Step-by-step explanation:
[tex]g)\\\\16x^3y-81xy^5\\\\=xy(16x^2-81y^4)\\\\=xy(4x^2+9y^2)(4x^2-9y^2)\\\\=xy(2x-3y)(2x+3)(4x^2+9y^2)\\\\\\\\h)\\\\x^8-y^8\\\\=(x^4+y^4)(x^4-y^4)\\\\=(x^4+y^4)(x^2+y^2)(x^2-y^2)\\\\=(x-y)(x+y)(x^2+y^2)(x^4+y^4)\\[/tex]
Answer:
here only one formula to use in both question
a^2+b^2= (a+b)(a-b)
