Answer:
C is the correct answer.
Step-by-step explanation:
All of the angles in a triangle add up to 180 degrees. 65+80=145 and when you do 180-145, you get 35 degrees. You can check to see if it's correct by adding 35, 65, and 80 together.
[tex]65+80=145[/tex]
[tex]180-145=35[/tex]
[tex]35+65+80=180[/tex]
The opposite angle of the triangle is similar.ΔDEF is similar to ΔABC. Option C is correct.
What exactly is a triangle?
A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
ΔDEF
∠F=80°
∠F=35°
The sum of the angle of the triangle DEF is;
∠D+∠E+∠F=180°
∠D=180°-115°
∠D=65°
In ABC
/_A = 65°
/_B= 80°
∠A+∠B+∠C=180°
∠D=180°-145
∠D=35°
The opposite angle of the triangle is similar.ΔDEF is similar to ΔABC.
Hence,option C is correct.
To learn more about the triangle, refer:
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A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?
Answer: 5 miles
Step-by-step explanation:
this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
sqrt(25) = c
c = 5
Which of the following is the graph of f(x) = 3x - 4[ + 1?
Answer:
The first answer choice I think
Step-by-step explanation:
to the right 4 units
up one
vertical compression by 3
Is it possible to create a line segment with "infinite
steepness?
If so, do it, and explain why you think you're right
If not, explain why it's impossible.
Sign out
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133
Answer:
No, it is not possible
Step-by-step explanation:
Required
Is it possible to have a line segment with: [tex]m = \infty[/tex]
To answer this question, we will interpret the steepness as slope.
So, we have:
[tex]m = \infty[/tex]
The interpretation of a line with: [tex]m = \infty[/tex] is:
It starts from (x,y_1) and ends at (x,y_2)
When the slope (m) is then calculated, we have:
[tex]m = \frac{y_2 - y_1}{x_1 - x_1}[/tex]
[tex]m = \frac{y_2 - y_1}{0}[/tex]
[tex]m = \infty[/tex]
What this means is that, the line has no end points.
A line segment as described here means a line that has endpoints (i.e. a finite starting point and a finite finish point)
So, we've established that: [tex]m = \infty[/tex] means no endpoints and a line segment has end points, then we can conclude that it is not possible to create a line segment with [tex]m = \infty[/tex]
Steepness of a line is the rise or fall of it at a sharp angle.The Is it not possible to create a line segment with infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.
Steepness-Steepness of a line is the rise or fall of it at a sharp angle. The slope of the line describe the steepness of a line.
Infinite steepness-A infinite steepness refers to a vertical line on the graph. When the line with infinite steepness plotted on the graph it is only parallel to the y axis. The change on the x axis is zero and does not move in the x axis, when a line has infinite steepness.
To understand it better suppose a line is passed through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] points. For such line the slope of the line can be given as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} [/tex]
The line with infinite steepness does not move in the x axis. The coordinate of the x axis same for the line. Thus,
[tex]x_2=x_1[/tex]
The slope for such line is,
[tex]m=\dfrac{y_2-y_1}{x_1-x_1} [/tex]
[tex]m=\dfrac{y_2-y_1}{0} [/tex]
[tex]m=\infty[/tex]
Thus the slope of the line is infinite. But the line With no finite point is not possible to plot.
Hence the Is it not possible to create a line segment with "infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.
Learn more about the steepness of the line here;
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can you please help? no links please. I have to pass this
Answer:
Step-by-step explanation:
10 times 10 times 60 = 6000
6000 - (1600 + 2000) = 2,400
Answer:
7200 [tex]in^3[/tex]
Step-by-step explanation:
volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)
[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]
Describe and correct the error in solving the equation.
27 = n-15
-15 +15
12 = n
20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)
Answer:
I'll do the dilation for the first point and you will see the answer (please verify the second point)
Step-by-step explanation:
The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.
so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.
so the dilated point for (-4,-4) is (-14, -14)
Please verify by computing the dilated point for (-6,4)
7. The answer is letter A or letter D
Find the next two terms in the sequence.
40, 10, –20, –50, . . .
A.
60, 80
B.
–80, –110
C.
–70, –100
D.
–70, –90
Answer:
B.
–80, –110
Step-by-step explanation:
-80 and -110
It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30
-50-30=-80
-80-30 =-110
-80
First Identify the sequence being made here.
10-40 = -30
-20-10 = -30
-50-(-20) = -30
Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.
-50-30 = -80
The next term is -80.
Hope I helped!
Match the equivalent expressions.
Pls help me
Answer:
1/9 = 3^-2
1/8 = 2^-3
9 = 3²
8 = 2³
Simplify this expression
(√2+√3)(√5 -√7)
Answer:
Step-by-step explanation:
Answer:
pretty sure its the second one
Step-by-step explanation:
What is 1?1?1?1=6 pls help my brain id hurt rn
Answer:
(1+1+1)!*1=6
Step-by-step explanation:
The probability of it raining today is 30%. What is the probability that it will NOT rain? (answer must be in percent form)
Answer:
70%
Step-by-step explanation:
An easy way to figure this out is like this: Percentage is out of 100 so that would mean 30% is equal to 30/100. Basically, all you need to do is subtract 100-30 and convert to a percent (just add the percent sign). Boom! 70% is your answer!!!!!!! :)
Need help with this question
Answer: Well you would have to look at the options in the drop down and then find the terms and others
Step-by-step explanation:
ASAPPPPPPPP DUE IN 3 MIN
Answer:
72
Step-by-step explanation:
Answer:
h = 6
Step-by-step explanation:
Area of a trapezoid formula:
[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]
Given:
A = 48
a = 4
b = 12
Work:
[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]
Please answer! I will mark you Brsinliest! The pictures are together.
Answer:
V = 65.97π
Step-by-step explanation:
Answer:
g00gle is a really great source for these questions!
Just put in the information and they do they work!
Step-by-step explanation:
66 inches cubed since you round up .03 decimals!
or 65.97 if you aren't supposed to round
Celeste used 20 inches of ribbon from a spool that holds 36 inches of ribbon. What is the decimal equivalent for the amount of ribbon Celeste uses.
Answer: 0.56
Step-by-step explanation:
The spool holds a total of 36 inches of ribbon and out tis amount, Celeste used 20 inches of ribbon.
Celeste therefore used 20 / 36 of the ribbon available from the stool.
In decimal this is:
= 20 ÷ 36
= 0.5556
= 0.56
Evaluate the function f(x)=-5x2 + 4x -6
when x = 2
f(x)=-5x2+4x-6
f(2)= -5*2*2+4*2-6
f(2)= -20+2
f(2)=-18
A parabola can be drawn given a focus of (4, -8) and a directrix of y=-6
. What can be said about the parabola?
Answer:
y = 1/4 (x-4)² - 7
Step-by-step explanation:
Point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
√(x-4)²+(y- -8)² = √(y- -6)²
(x-4)² + (y+8)² = (y+6)²
(y+8)² - (y+6)² = (x-4)²
(y²+16y+64) - (y²+12y+36) = (x-4)²
y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
4y = (x-4)² - 28
y = 1/4 (x-4)² - 7
standard formula of parabola: y = a(x-h)² + k (h,k): vertex (4,-7)
The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
Now,
Let a point (x , y) on the parabola, focus of (4, -8) and a directrix of y= -6
Hence, We can formulate;
⇒ √(x-4)²+(y- (-8))² = √(y- (-6))²
⇒ (x-4)² + (y+8)² = (y+6)²
⇒ (y+8)² - (y+6)² = (x-4)²
⇒ (y²+16y+64) - (y²+12y+36) = (x-4)²
⇒ y²+16y+64-y²-12y-36 = 4y+28 = (x-4)²
⇒ 4y = (x-4)² - 28
⇒ y = 1/4 (x-4)² - 7
Thus, The value of equation of parabola is,
⇒ y = 1/4 (x-4)² - 7
Learn more about parabola visit:
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Given the first term and the common ratio of a geometric sequence find the seventh term of the sequence. a1=2 and r=6
Answer:
93312
Step-by-step explanation:
We can use the geometric sequence formula
a= a1(r)^n-1
Substitute:
a=2(6)n^1
a=2 *6^n* 1/6
a=6^n*1/3
Substitute "7" for n:
a(7)=6^(7)*1/3
a(7)=93,312
help please? anyone?
Answer:
"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "
Step-by-step explanation:
Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.
= 8.8 squared + 9 squared = c squared
= 77.44 + 81 = c squared
[tex]\sqrt{158.44}[/tex] = c squared
c squared = (rounded) 12.6 ft
anyone know ??? i need help badly right now
Answer:
Answer is A 520mm²
I hope you like it
Answer:
9. C, II and III.
10. The correct answer is 944 cubic mm, as far as I can tell. I double checked my formulas and calculations. You can copy the formulas/calculations below and email your teacher. I have tried to figure out how they got the numbers they have. The best guess I can come up with is that they used 6 as the diameter of the cylinder, using 3 for the radius. That gets us closer, at 749 cubic mm, but not quite there.
Step-by-step explanation:
9. If the cylinder is standing upright, the horizontal cut would be a circle or oval, and the vertical cut could be a rectangle
10. First we'll get the volume of the base rectangle. Then we'll calculate the volume of a cylinder, then divide that part in half, because it's 1/2 a cylinder on top of a rectangular prism.
Volume of a rectangular prism:
V = (length)(width)(height)
= 11 x 9 x 6 = 594 cubic mm
Volume of a cylinder:
V = (pi)(radius)^2(height)
The radius = 1/2 the diameter of the circle...the diameter is 9, so the radius is 4.5
= (3.14)(4.5)(4.5)(11)
= 699.435
That would be for a full cylinder with radius 4.5 and height of 11. We have half of one, so 699.435/2 = 349.7175 cubic mm
Add the volume of the 1/2 cylinder to the volume of the rectangular prism:
349.7175 + 594 = 943.7175, rounded = 944...which is none of your answers :/
Sorry I couldn't give you an "A, B, C, D" answer, but I don't think any of those are correct.
Pls help if you know the answer and explain, if you get it right I'll give you brainly
find the volume of the larger rectangular prism
Answer:
1/8 to the power of 3
Step-by-step explanation:
its 1/2 length x 1/2 width x 1/2 height
Please someone help I need to turn this in soon !!
Answer:
6
Step-by-step explanation:
18/3=6
find the GCF of 30x^3 and 12x^4
Answer:6x^3
Step-by-step explanation: That’s the biggest factor that can be taken out of both equations
Help me with this problem ASAP
3. Sara has a basket of fruit that contains 10 lemons, 2 pears, 6 oranges, and 3 apples.
How many possible combinations of fruit can she pick if she picks one of each fruit?
a. 360
b. 21
c. 4
d. 72
Answer:
c would be the answer hope this help
Step-by-step explanation:
pleas make brainly if it's right
Y= -16x^2+181x+59 is the question
Answer:16x2 + 181x + 59
Step-by-step explanation:It cannot be factored
Answer:
Step-by-step explanation:
11.26 is the correct answer
what are prime numbers? and examples of prime numbers?
Answer:
Prime numbers are numbers that have only 2 factors: 1 and themselves. For example, the first 5 prime numbers are 2, 3, 5, 7, and 11.
Step-by-step explanation:
Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.
The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.
Volume of the cube = 4 x 4 x 4 = 64 cubic cm
Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)
Answer:
Solution given:
square pyramid
each side of base[b]=6cm
height[h]=9cm
Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]
now
length of cube [l]=4cm
volume of cube[v]=l³=4³=64cm³
now
no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]
is needed.
HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!
Answer:
x≈5.3 feet
Step-by-step explanation:
[tex]\frac{4}{15} =\frac{x}{20}[/tex]
[tex]15x=80[/tex]
x≈5.3 feet
Answer:
5.3m tall
Step-by-step explanation:
15/4 = 3.75
20/3.75= 5.3333333
Work out size of Angle x
Answer:
106
Step-by-step explanation:
all 3 of the angles add up to 360
you already know one is 164 and one is a right angle so
164 + 90 = 254
360 - 254 = 106