Answer:
Step-by-step explanation:
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1:25°, 35
Triangle 2: 25°, 120
Triangle 1: 100°, 60°
Triangle 2: 100°, 20°
Triangle 1: 90°, 45
Triangle 2: 45°, 40
Triangle 1: 37", 63
Triangle 2:63', 107
Triangle 1: 90° 20°
Triangle 2: 20°, 90°
Answer:
Triangle 1: 90°, 20°
Triangle 2: 20°, 90°
Step-by-step explanation:
According to AA or Angle-Angle Similarity, any two triangles with two of the same angle measurements are similar. Only Triangle 1: 90°, 20° and Triangle 2: 20°, 90° have the same two angle measurements.
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. What is m∠DEF?
Answer:
m∠DEF is 90°
Step-by-step explanation:
It is given that D(5, 7), E(4, 3), and F(8, 2) form the vertices of a triangle. Thus, using the distance formula, we have
⇒
⇒
and
⇒
⇒
Also,
⇒
⇒
Now,
⇒
⇒
Thus, Pythagoras theorem holds.
Hence, m∠DEF is 90°⇒ΔDEF is right angled triangle which is right angled at E.
DE^2 = 1 + 16 = 17.
EF^2 = 16 + 1 = 17.
DF^2 = 9 + 25 = 34.
Since (DE)^2 + (EF)^2 = (DF)^2,
angle E is 90 degrees.
DF must be the hypotenuse
Here look at that
what is y=2/3x-4 graphed
Answer:
Please see attached
Step-by-step explanation:
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
PLEASE HELP ME!!! :'(
1. Create a data set with at least 5 values.
2. Write instructions that tell a friend how to find the mean absolute deviation of your data set.
Answer: KINDLY CHECK EXPLANATION
Step-by-step explanation:
Given the data:
1) dataset:
My data(x) : 2, 4, 6, 8, 10
2) to calculate the mean absolute deviation of the data above :
Step 1: Find the mean (m) of the dataset (my data)
Mean(m) = sum of values in my data / number of observations in my data (n)
m = (2+4+6+8+10) / 5
m = 30 / 5 = 6
The mean absolute deviation(MAD) :
Sum of The absolute value of the difference between values in my data and the mean value (m) Divided by the number of observations.
MAD = (Sum of |x - m|) / n
MAD = (|2-6| + |4-6| + |6-6| + |8-6| + |10-6|) / 5
MAD = (4 + 2 + 0 + 2 + 4) / 5
MAD = 12 / 5
MAD = 2.4
12 points!
A point located at (3,-2) is translated right 3 units and down 4 units. What are the coordinates of the image?
(0-2)
(6,-6)
(6,2)
(0,-6)
Answer: (6,-6)
Step-by-step explanation: so, the x coordinate before is 3, and traveling right is a positive number. So to find the x coordinate after, add 3 because it is going right 3 units, which is 6. The y coordinate was -2 before. Going down in terms for the y coordinate means negative, or to subtract, so the y coordinate after would be -6, because -2+4=-6
Hope you understand :)
find the area of the figure below. round your answer to the nearest tenth
Step-by-step explanation:
Area 1 = the rectangle
8×3=24cm²
Area 2= semi circle
3.14r² 314/100×4×4 = 50.24cm²
add. 24+50.24 = 74.24cm² ( 10th)
= 74.2WILL MARK BRAINIEST IF CORRECT!!!
1) Write a real-world problem that can be represented by the inequality 8x - 15 ≥ 25.
2) What do the values in the solution set represent in your problem?
Answer:
Look below
Step-by-step explanation:
8 boxes of toothpicks were given to at LEAST 25 students but 15 threw them out
8x= 8 boxes
At least 25= no less than 25 students
-15= the 15 that threw them out
x=boxes
the people= All real numbers
HOPE THIS HELPS!!!
Answer:
1 2 3 4
Step-by-step explanation:
HELP!
After a rotation, A(-3, 4) maps to A'(4, 3), B(4, -5) maps to B'(-5, -4), and C(1,6) maps to C'(6, -1). Which rule
describes the rotation?
R0, 90°
R0, 180°
Ro, 270°
RO, 360°
270 degree counterclockwise rotation around the origin
=============================================================
Check out the diagram below. In the diagram, I only focus on points A and A'.
We have A = (-3,4) move to A ' = (4, 3). We see the x and y coordinates swap places. Then the new second coordinate -3 becomes positive, or it has flipped sign. So the rule applied here is [tex](x,y) \to (y,-x)[/tex] which describes a 90 degree clockwise rotation; which is equivalent to a 270 degree counterclockwise rotation
The other points follow the same idea.
Answer:
c
Step-by-step explanation:
Please help me ASAP (Each choose is Yes/No)
Answer:
MARK me brainliest please
Step-by-step explanation:
yes
yes
no
no
yes
Triangle ABC is rotated 180° using the origin as the center of rotation.
Answer:
The third answer- a reflection over the x axis then a reflection over the y axis
Answer:the answer is C
Step-by-step explanation:I took the test
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
Find the area of the triangle. a) 225 units2 b) 75√3 units2 c) 150√3 units2 d) 27.5√3 units2
Answer:
Thus, area of triangle is [tex]225/\sqrt{3}[/tex]
Step-by-step explanation:
Area if triangle is given by 1/2( base*height)
Given
Height = 15 units
also one angle is given as 30 degrees
we know Tan of any angle is ratio of perpendicular and base
[tex]tan\alpha = perpendicular /base[/tex]
lets calculate tan 30 in the given triangle
we will take the smaller triangle containing angle 30 degrees and right angle
perpendicular will be half of base of triangle
base will be side with length 15 units
tan30 = perpendicular/15
[tex]1/\sqrt{3} = perpendicular/15\\=> perpendicular = 15/\sqrt{3}[/tex]
Thus, half of base of full triangle is [tex]15/\sqrt{3}[/tex]
so full base will be [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Full full triangle
height = 15 units
base = [tex]15*2/\sqrt{3} = 30/\sqrt{3}[/tex]
Thus, area of triangle is [tex]1/2* 30/\sqrt{3}*15= 225/\sqrt{3}[/tex]
5x+2y=57 what is x and y equal to?
ffefefertjuylijhq DS3NUFHUFH4UFUFHUFUEFNUEFNUEFN
Find the total surface area of this square based
pyramid.
Answer:
125
Step-by-step explanation:
Surface area is the total area of all the surfaces of a shape. In order to calculate the surface area we need to consider each unique face individually.
The base of the pyramid is a square of side-length 5, and its area is 5×5=25
The side faces form an iscosoles triangle of height 10 and base length 5, its area is 10×5×[tex]\frac{1}{2}[/tex]=25.
The total surface area = Triangle +Triangle +Triangle +Triangle +Square = 25+25+25+25+25 = 125
Please help ASAP
These box plots show the number of electoral votes won by the democratic and republican candidates for the elections 1984 through 2012
Answer:
A.
Step-by-step explanation:
The interquartile range for republicans is 185.5. The interquartile range for democrats is 186.5.
367.5 - 181 = 186.5
356 - 170.5 = 185.5
Answer:
A
Step-by-step explanation:
what is the volume of a right trianular prism with the dimesions of 15 11 17
Answer:
1402.5 Cubic Units
Step-by-step explanation:
Volume of a Triangular Prism: V = [tex]\frac{1}{2}bhl[/tex]
b - base
h - height
l - length
15 is the height, 17 is the length, and 11 is the width (assuming which is the base).
[tex]V=0.5 * (11 * 15 * 17) \\V=0.5*2085\\V=1402.5[/tex]
The volume of the prism should be 1402.5 cubic units.
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
Does anyone know how to do all of this
Answer:
price paid of speakers= £40.5
price paid of headphones=£ 5.6
price paid of book=£6.65
price paid of mobile phone=£42
price paid of mouse=£ 15.75
price paid of DVD=£11.05
solution,
1. Cost of speakers:
Discount percent=10 %
Marked price=£45
discount amount= discount % of MP
=10% of 45
=£4.5
Selling price= MP - discount amount
=£45-£4.5
=£ 40.5
2. cost of headphones:
discount amount= discount% of MP
=20% of 7
=£1.4
Selling price= MP- Discount amount
=£7-£1.4
=£ 5.6
3. cost of books:
discount amount= discount percent of MP
= 30% Of 9.50
=£ 2.85
selling price= MP- Discount amount
= £ 9.50-£2.85
=£ 6.65
4. cost of mobile phone:
discount amount= discount% of MP
=40% of 70
=£ 28
selling price= MP- Discount amount
=£70-£28
=£ 42
5. cost of mouse:
discount amount= discount% of MP
= 25% of 21
=£ 5.25
selling price= MP- Discount amount
=£21-£5.25
=£ 15.75
6. cost of DVD:
discount amount= discount % of MP
= 15% of 13
= £ 1.95
selling price= MP- discount amount
=£ 13 -£ 1.95
=£ 11.05
Hope this helps...
Good luck on your assignment..
how many tiles 4 inches on a side should be used to cover a portion of a wall 56 in Long by 32 in high
What is the value of xx) = 9^x when x= -2?
A. 1/81
B. 81
C. 1/81
D. 18
Answer:
C. [tex]9^{-2} = \frac{1}{81}[/tex]
Step-by-step explanation:
Given
[tex]9^{x}[/tex]
Required
Find the expression where x - 2
[tex]9^{x}[/tex]
Substitute 2 for x
[tex]9^{-2}[/tex]
From law of indices which states
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, the expression becomes
[tex]9^{-2} = \frac{1}{9^2}[/tex]
Expand the denominator
[tex]9^{-2} = \frac{1}{9 * 9}[/tex]
[tex]9^{-2} = \frac{1}{81}[/tex]
Hence, [tex]9^{x}[/tex] is [tex]\frac{1}{81}[/tex] when x = 2
the quotient. Simplify your answer
b - 4
b
4
Enter the
Answer:b-4/4
Step-by-step explanation:
Solve 2x+2>10
A. x < 4
B. x > 4
C. x > 6
D. x < 6
Answer:
B
Step-by-step explanation:
2x+2>10
2x>10-2
x>8/2
x>4
Please answer this question now
Answer:
The coordinates of C are (2,2)
80g of a 35% salt solution
Answer:
The total weight is 80g, this is equal to the weight of the salt in the mixture plus the weight of the water in the mixture.
Ws = Weight of the salt
Ww = Weight of the water.
Then:
Ww + Ws = 80g
and the solution is 35% salt, so we have:
Ws/80g = 0.35
We must solve the system of equations, we can write the second equation as:
Ws = 80g*0.35 = 28g
Then we have 28 grams of salt, and the other 62g must be of water.
Step-by-step explanation:
Let x represent the weight of the salt
Let y represent the weight of the water
We know x + y = 80g total
If the salt solution is 35%, we can write the following equation:
x/80g = 0.35
x = 80g x 0.35 = 28
28 grams
In a class of 80 students, every student had to study mathematics or biology or both mathematics and biology ,If 65 students studied mathematics and 62.5% of teh class studies biology ,how many students studied both subjects.pls detial properly
Answer:
Well, 80 x 62.5% is 50.
So, 65 + 50 is 115.
I think there is a mistake in the question
Well, It could not, but please check again TT
Step-by-step explanation:
Whích quadratic inequality does the graph below represent?
у
5
4
3
2
1
→
wa-
5-32
12
3
5
2
Answer:
The third option
Step-by-step explanation:
first, you can eliminate the 2nd and the 4th option because the vertex of the graph is located at -3, and not 3. The reason it is not the 1st option is, because of the greater than or equal to sign, this inequality actually shows the white area.
Therefore, leaving the 3rd option. The y-intercept is correct, it is -3. The sign is also correct, because on the axis of the quadratic, -3 is the highest possible y-intercept. So y has to be less than or equal to -3.
Hope this helps! :D
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
the answer is X<3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH. Circles F and J are congruent. Line segments F E and F D are radii. A line connects points E and D to form a triangle. Line segments J H and J G are radii. A line connects points H and G to form a triangle. Angles D F E and G J H are congruent. m∠DFE = 80°. What is the measure of arc Arc G H? °
Answer:
[tex]mGH=80^\circ[/tex]
Step-by-step explanation:
Circle F and J are congruent.
[tex]\angle DFE \cong \angle GJH[/tex]
Given that: m∠DFE = 80°
DFE is the central angle of the circle F.
The measure of arc GH is equal to the central angle of Circle J.
Since both circles are congruent
[tex]mGH=\angle DFE = 80^\circ[/tex]
The measure of arc GH is 80 degrees.
Answer:
Arc GH=80°
Step-by-step explanation:
Edge 2020