Given:
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
To find:
Whether it is possible that Line AB intersects line CD.
Solution:
We have,
[tex]m\angle ABC=65^\circ[/tex]
[tex]m\angle BCD=105^\circ[/tex]
The angles [tex]m\angle ABC[/tex] and [tex]m\angle BCD[/tex] are same sided interior angles.
If two lines are parallel and a transversal line intersect them, then the same sided interior angles are supplementary angles and their sum is 180 degrees.
[tex]m\angle ABC+m\angle BCD=65^\circ+105^\circ[/tex]
[tex]m\angle ABC+m\angle BCD=170^\circ[/tex]
[tex]m\angle ABC+m\angle BCD\neq 180^\circ[/tex]
So, the lines AB and CD are not parallel to each other.
Therefore, the intersection of lines AB and CD is possible.
What is the value of d?
A.100 B.84 C.50 D.80
Answer:
A. 100
Step-by-step explanation:
84
Step-by-step explanation:
c + 100 =180
c=180-100
c=80
100+96+d+c=360
100+96+d+80=360
276+d=360
d=360-276
d=84
Which of the following best describes the line of symmetry?
A. The line that is perpendicular to the design
B. The line that is parallel to the design
C. The line that divides the design into two similar parts
D. The line that divides the design into two congruent parts
Answer:
C the line that divides the design into two similar parts
The line of symmetry divides the design into two similar parts.
What is a line of symmetry?"The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. "
A line divides a design into two parts.
If the line is described as the line of symmetry, then the two parts that are divided by this line are similar parts.
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Now, if you solve for x, what is the result?
Answer:
x = 3/9
= 1/3
Step-by-step explanation:
i did this assignment and got it right
Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?
Given:
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].
To find:
The amount paid by each boy.
Solution:
We have,
Cost of gift = $20.48
Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:
[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]
John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:
[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]
Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.
What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?
Answer:
16
Step-by-step explanation:
Describe fully the transformation that maps triangle a onto triangle B
Answer:
The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".
Step-by-step explanation:
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.
The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)
The coordinates of the triangle B are:
(1, 3), (1, 0) and (3, 0)
By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.
The transformation that maps triangle A to triangle B is a reflection over the line y = -1.
This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.
Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.
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[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \pm 5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]
Find the missing length of the triangle. Round to the nearest tenth. a = _____, b = 7, c = 9
Answer: Maybe 5.7
Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.
Step-by-step explanation:
The missing length of the triangle will be more than (9-7)=2 and less than (9+7)=16
so, 2<a<16
Answered by Gauthmath
which of the following is the equation of a line that passes through the points (1,6) and(2,1)
Answer:
y=1x-5
Step-by-step explanation:
it goes over to the right 1 time and down 5
(1+1,6-5)=(2,1)
A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?
Answer:
2/12
Step-by-step explanation:
The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth
Write an equation for the quadratic graphed below: x-intercepts: (-1,0) and (4,0); y-intercept: (0,1)
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
Is the graph increasing, decreasing, or constant? +3 A. Increasing B. Decreasing C. Constant
Answer:
Increasing
Step-by-step explanation:
Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.
Since it is moving up from the right, that means it's increasing.
The slope is positive, then the graph is increasing. Then the correct option is A.
What is the equation of line?The equation of line is given as
y = mx + c
Where m is the slope and c is the y-intercept.
The graph is given below.
The line is passing through origin.
At x = 1, the value of y will be 3.
Then the slope will be
m = 3 / 1
m = 1
Then the equation of line will be
y = 3x
The slope is positive.
Then the graph is increasing.
Then the correct option is A.
More about the equation of line link is given below.
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. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answer:
wait what
Step-by-step explanation:
What is the value of x?
Enter your answer in the box.
An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false
Answer:
a
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Because the ops are always trying to oppose things, so you show them why they're wrong.
If the length of a is 6, the length of b is 4, and the length of c is 7, what is the measure of angle B
Answer:
B = 34.77°
Step-by-step explanation:
For this problem you are given all three side lengths and asked to find an angle. To do this you can use the law of cosines which is written:
[tex]b^{2} =a^{2} +c^{2} -2ac Cos(B)[/tex]
This can be rearranged to find the angle B:
[tex]b^{2} -a^{2} -c^{2} /-2ac = Cos(B)[/tex]
With lowercase letters being sides and uppercase being angles.
We simply plug in the sides and solve:
[tex]4^{2} -6^{2} -7^{2}/-2*6*7= Cos(B)[/tex]
0.8214 = Cos (B)
Then you use inverse cosine to get angle B alone.
B = 34.77°
According to Class 8 please solve
Answer:
a) Rs 22
b) 4 liter
hope it helps
Answer:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
Step-by-step explanation:
cost of 2 3/4 litre milk is 60 1/2
first we in number from fractions
11/2 litre = 5.5 litre
RS 121/2 = 60.5
5.5 litre milk = Rs 60.5
(i) 1 lire milk = 60.5/5.5 = 11
(i) 1 litre milk rate is Rs 11
(ii) 1 litre = Rs 11 , Rs 88 = 88/11 litre , 8 litre
(i) part answer = Rs 11
(ii) part Answer = 8 litre milk
what is the solution to -6 - -25=
Answer:
19
Step-by-step explanation:
(-6)-(-25)=(-6) +25 = 19
Given y = f(u) and u=g(x), find =f(g(x))g'(x) for the following functions.
dx
y = cos u, u = 4x - 3
dy
dx = f'(g(x))g'(x) = 0
Answer:
-4sin(4x-3)
Step-by-step explanation:
Given y = cos u, u = 4x - 3
dy/dx = dy/du * du/dx
dy/du = -sinu
du/dx = 4
dy/dx = -4sinu
since u = 4x - 3
dy/dx = -4sin(4x-3)
How do you get 24 with the numbers 6, 5, 4 and 8
Step-by-step explanation:
hoped this will help you
if that's help you plz vote me or mask as brinalist
At the time of her grandson's birth, a grandmother deposits $3000 in an account that pays 9.5% compounded monthly.
What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
74820
Step-by-step explanation:
9.5% of 3000 is 285
there are 12 months in a year
so 12 times 21 equals 252
so 285 times 252 add 3000 equals 74820
Question 23 (5 points)
If a leg of a right triangle is 7 units and the hypotenuse is 25 units, what's the length
of the other leg?
1024 units
25.96 units
24 units
324 units
the answer is 1024 because 7²+25²=b²
factor out the square which gives you
(7+25)²=b²
32²=b²
squaring 32 gives 1024
Answer:
24 units
Step-by-step explanation:
i just took the quiz
please answer i will give u brainless PLZZZZZZ
Answer:
96 green pens
Step-by-step explanation:
Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4
Green = 4*24=96
I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.
Hello,
[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]
[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]
In the triangle ABC,
[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]
[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]
In the triangle ACB,
[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]
A fish tank in a pet store has 23 fish in it. 10 are orange and 13 are white. Determine the probability that if we select 4 fish from the tank, at least 2 will be white.
Answer:
ok so the probility of gettting one white fish is
13/23
and if we take out one white fish the problity is
12/22
so we just multiply
12/22*13/23=0.30830039525
so the problity is 0.30 if you choose two fish you will get white for both
Question 3
Find the distance from the vertices of AABC to the corresponding vertices of the other three triangles, and enter them in the table. For AJKL
you'll need to use the distance formula d = ( 1-32)+(91 - y2) Verify your calculations using the tools available in GeoGebra
B
I U
Font Sizes
A- A -
PE
E 3 .
v
Original Vertex New Vertex Distance Calculated Distance Using GeoGebra
A
D
B
E
с
F
А
G
B
H
C с
1
А
B
K
С
2
D
A
ES
US 2:43
Cho
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the vertices of the triangles is missing.
However, the following formula can be used to calculate distance;
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Take for instance:
[tex]A = (1,8)[/tex]
[tex]A' = (7,8)[/tex]
The distance between both is:
[tex]d = \sqrt{(1- 7)^2 + (8- 8)^2}[/tex]
[tex]d = \sqrt{(-6)^2 + 0^2}[/tex]
[tex]d = \sqrt{36 + 0}[/tex]
[tex]d = \sqrt{36}[/tex]
Take square root
[tex]d = 6[/tex]
Apply the above steps to the complete question
Answer:
A D 3 3
B E 3 3
C F 3 3
A G 5 5
B H 5 5
C I 5 5
A J 6.4 6.4
B K 6.4 6.4
C L 6.4 6.4
Step-by-step explanation:
PLATO ANSWER
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?
a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero
A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers
Answer: C. (−4, 0), (2, 0)
Step-by-step explanation:
By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)
Answer:
A) (x, −x2 − 2x + 8) for all real numbersStep-by-step explanation:
I got it right on my 8.06 exam! ✨ Keep believing, superstar!
and go see Sing 2 for me..its an awesome movie and it'll make u smile!
HELP!!!! THANK YOU ...........
Answer:
Using trigonometric ratio
sin(0)=opposite/hypotenise
sin(A)=BC/BA
sin(A)= 6/7
A=arcsin(6/7)
A=58.997°
A=59.00°
----------------------
Hope it helps...
Have a great day!!!
Find the rate of change for the function of change from x=-3 to x=1
Answer:
She's, "HOT"!
Step-by-step explanation:
