Answer:
Step-by-step explanation:
1) ML // JK , MK is transversal,
∠LMK = ∠MKJ {Alternate interior angles are congruent}
∠LMK = 30°
In ΔMKO,
30 + 115 + ∠ JLM = 180 {Angle sum property of triangle}
145 +∠ JLM = 180
∠ JLM = 180 - 145
∠ JLM = 35°
2) AB // CD , AC is transversal
∠DCA = ∠BAC {Alternate interior angles are congruent}
∠DCA = 23
∠BCD = ∠DCA + ∠BCA
= 23 + 37
= 60
3) EF // HG ; FH is transversal
∠FHG = ∠HFE {Alternate interior angles are congruent}
∠FHG = 77
4) ZY // WX ; WY is transversal
∠ZYW = ∠XWY {Alternate interior angles are congruent}
= 65
ZY // WX ; WY is transversal
∠ZWY = ∠WYX {Alternate interior angles are congruent}
= 36
In ΔWZY
36 + 65 + ∠z = 180
101 +∠Z = 180
∠Z = 180 - 101
∠Z = 79
Anybody knows the answers to the monomial functions ?
Step-by-step explanation:
A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).
Answer two questions about Equations A and B:
A. 3(x+2) = 18
B.
r + 2 = 6
1) How can we get Equation B from Equation A?
Step-by-step explanation:
3x+6=18
3x=18-6
3x=12
x=4
What value of x will make the equation true?
(Square Root of 5) (square root of 5)=x
Answer:
(2.236067978)(2.236067978)
=5 ans.
If this is incorrect forgive me
I hope this will help you
stay safe
please explain this to me.
Answer:
Equation of line:- y=2x-7
slope(m)=2
slope of parallel line (m)=2
∴ Equation of parallel line:- y=2x+b
it passes through the point (-3,6)
6=2(-3)+b 6+6=b
b=12
∴ y=2x+12
OAmalOHopeO
need help with this!!
Answer:
{ 1,3,4,6,7}
Step-by-step explanation:
Do B∩C first
This is B intersect C which means what they have in common
B∩C = {3,6,7}
Then A∪(B∩C)
A union {3,6,7} which means join together ( combine with no duplicates) the two sets
{ 1,3,4,6,7}
“The length of a rectangle is two feet greater than twice its width. If the perimeter is 25 feet, find the width.” Which of the following translations is correct?
Answer:
b is the answer
Step-by-step explanation:
This table shows the relationship of the total number of pieces of fruit to the number of bananas.
Why is StartFraction 6 Over 5 EndFraction not equivalent to Three-halves?
Given:
The table that shows the relationship of the total number of pieces of fruit to the number of bananas.
To find:
Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].
Solution:
If a, b, c are real numbers, then
[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]
The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:
[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]
The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].
Therefore, the correct option is A.
Find sin 0
A. 16/20
B. 12/16
C. 12/20
D. 16/12
Answer:
16/20
Step-by-step explanation:
Since this is a right triangle
sin theta = opp side / hypotenuse
sin theta = 16/20
Answer:
A.
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]
convert into power notation -1/81
Answer:
-1/9^2 is the power notation for your questions
Step-by-step explanations
Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
Answer:
(x-9)^2 +(y-12)^2 = 225
Step-by-step explanation:
First find the length of the radius
If is the distance from the center to the point
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt( (0-9)^2 + (0-12)^2)
= sqrt ( 81+144)
= sqrt(225)
= 15
The equation for a circle is
( x-h) ^2+ (y-k)^2 = r^2
(x-9)^2 +(y-12)^2 = 15^2
(x-9)^2 +(y-12)^2 = 225
An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.
Answer:
missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
we understand from the given information that the triangle in question is a special right triangle
and since this is a special triangle the side lengths follows :
the side length that sees <90 is represented by 2x
the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]
and the side length that sees <30 is represented by x
2x = 10 so x = 5 and x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Find the equation of the line that passes through (1,6) and (3,10).
y=2x+4
y=-2x+4
y=-24-4
Oy-23-4
Answer:
m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line
y = m x + b standard form of straight line
y = 2 x + b where b is the intercept at x = 0
b = y - 2 x
b = 6 - 2 = 4 from our first equation
Also, b = 10 - 6 = 4 check from second equation
y = 2 x + 4 is our equation
Check if y = 6 and x = 1 then
y = 2 * 1 + 4 = 6 verifying the first point given
A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
350.85
Step-by-step explanation:
90.6*2 = 181.2
27*2 = 54 (diameter)
54*pi = 169.646003294
169.646003294 + 181.2 = 350.846003294
350.846003294 = 350.85
What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??
Answer:
The "!" represents a factorial
Step-by-step explanation:
In math, a factorial when there is an ! followed by a number.
For example, 5! = 5 factorial.
To solve factorials, multiply every integer below the number before the factorial, including the number.
5! = 5 x 4 x 3 x 2 x 1 = 120.
Evaluate:
18 (5n - 4) = [?]
Answer:
90n-72=0
Step-by-step explanation:
18×5n-18×4=0
A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey
Answer: C. Trey, Susie, Tucker, Jordan, Ashton
========================================================
Explanation:
The random sub-sequence 52197 66082 helps directly determine who we pick.
The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.
Up next is student #1, and that would be Tucker
Up next is student #9, but the list only goes high as 7. So we skip over 9
Jordan is next up since 7 is the next digit
Finally, the last selection is Ashton because 6 follows after.
--------------
In other words, the sequence 52197 6 will lead to these selections in the order provided.
5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = AshtonSide note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0
simplify:-a). (-5a²)²(6ab²)(-3ab²)
Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (6,0) 0 (0, -2)
Plz Hurry
Answer:
x:-4,-3,-2,-1,0,1
f(x):-10,0,0,-4,-6,0
from the table we can see when x=0, y=-6
Therefore the y-intercept will be (0,-6)
OAmalOHopeO
The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }
Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }
Now , the y intercept of the function is when the value of x = 0
So , when x = 0 , the value of y = -6
And , f ( 0 ) = -6
Therefore , the y intercept is ( 0 , -6 )
Hence , the y intercept of the function is ( 0 , -6 )
To learn more about function rule click :
https://brainly.com/question/3760195
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Find the BD in the image below
Answer:
x = 10
The both line crosses with a little hyphen, meaning those are same
Answered by GAUTHMATH
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25
Answer:
[tex]x1 = - 4.525[/tex]
[tex]x2 = 5.525[/tex]
Step-by-step explanation:
[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]
[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]
Which parent function is represented by the graph?
When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D
What expression is equal to (3 x 5) x 4
Answer:
60
Step-by-step explanation:
Step 1:
3 x 5 = 15
Step 2:
15 x 4 = 60
Answer:
well 3. x 5 is 15, then multiply by 4 to get 60.
Step-by-step explanation:
Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x
Answer: 70 and -16
==========================================================
Explanation:
For now, we'll assume x is the largest value (aka the max)
Let's sort the values from smallest to largest.
7, 20, 26, 27, 34, 41, 47, x
We see that 7 is the smallest item, so,
range = max - min = x - 7
Set this equal to 63 and solve for x
x-7 = 63
x = 63+7
x = 70
So x could be equal to 70.
---------------------------
Next, we'll assume that x is the smallest value
That means the min is x and 47 is now the max
max - min = range
47 - x = 63
-x = 63-47
-x = 16
x = -16
So if x is the smallest value, then it must be -16
----------------------------
Finally, we'll let x be somewhere between 7 and 47
Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.
If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.
If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0
Answer:
[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]
By factorization :
[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]
Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):
[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]
PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
Answer:
Step-by-step explanation:
factor the numerical coefficients (6 and 96)
HCF 6 and 96 is 6
HCF x^10 and x^2 = x^2
HCF: 6x^2
(6* x^8*x^2 - 16*6 x^2) Take out the highest common factor
6x^2 (x^8 - 16)
3c + 2 = -22
whats c?
3c+ 2= -22
⇔3c = -22 -2
⇔3c = -24
⇔c= -24/3
⇔c=- 8
Answer:
3c= -22-2
3c= -24
c= -24/3
c= -8
Step-by-step explanation:
What is the equation of a circle with its center at (−6,−3) and a radius of 12?
Answer:
(x+6)^2 + ( y +3)^2 = 144
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 + ( y - -3)^2 = 12^2
(x+6)^2 + ( y +3)^2 = 144
Answer:
x² + y² + 12x +6y - 99 = 0
Step-by-step explanation:
Given :
Centre = (-6,-3) Radius = 12 ,Using the Standard equation of circle ,
( x - h)² + (y-k)² = r² ( x +6)² + (y+3)² = 12² x² + 36 + 12x + y² + 9 + 6y = 144 x² + y² + 12x + 6y +45-144 = 0 x² + y² + 12x +6y - 99 = 0if x=3√8, find the value of 1/x
plz its urgent
Answer:
[tex]\frac{1}{x} =\frac{1}{3\sqrt{8} } =\frac{1(\sqrt{8})}{3\sqrt{8}(\sqrt{8})} =\frac{\sqrt{8}}{3*8} =\frac{\sqrt{8}}{24} =\frac{\sqrt{(2)(2)(2)}}{24}=\frac{2\sqrt{2} }{2(12)} =\frac{\sqrt{2} }{12}[/tex]
What is 3/4 as a percentage
Answer:
75%
Step-by-step explanation:
A percent is a value out of 100.
Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.
[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]
This fraction represents a percent.
[tex]\frac{75}{100}[/tex] = 75%
