Which of the following statements must be true based on the diagram below? Select all that apply.( diagram not to scale)
Answers
ST is an angle of bisector
Related Questions
Can someone please help me with this??
———————————————
What is the length of the hypotenuse (c)?
4
Or
6
Answers
Answer:
6
Step-by-step explanation:
The hypotenuse is the side opposite the right angle.
The side opposite the right angle is 6 m long
9. Which unit of measure would be appropriate for the volume of a cube with sides of 2 meters.
Answers
Answer:
The unit of measure appropriate is cubic metre or cubic meter (m³)
Step-by-step Explanation:
we know that
The volume of a cube is equal to
V = b^3
where b is the length side of the cube
In this problem we have
b = 2m
substitute in the formula of volume
V = 2^3
V = 8 m^3
therefore
The unit of measure appropriate is cubic metre (m³)
Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
Question 3 options:
AB=RS
AB=2RS
ΔABC~ΔRST
△ABC≅ΔRST
m∠BAC=m∠SRT
m∠BAC=2m∠SRT
Answers
The given reflection transformation is a rigid transformation, such that the dimensions are preserved
The statements that are true about the image of triangle ABC following a reflection Bout the the line y = 2·a are;
AB = RSΔABC ≅ ΔRSTm∠BAC ≅ m∠SRTReasons:
The given parameters are;
Triangle ΔABC is reflected across the line y = 2·x
Given that a reflection is a rigid transformation, we have;
The distance between two points on a preimage is the same as the distance between the corresponding points on the image;
Therefore;
ΔABC is congruent to ΔRST by Side-Side-Side SSS, rule of congruency, such that we have;
AB ≅ RS, BC ≅ ST, and AC ≅ RT
m∠BAC ≅ m∠SRT
m∠BCA ≅ m∠STR
m∠BAC ≅ m∠SRT
Therefore;
The true statements are;
AB = RSΔABC ≅ ΔRSTTherefore;
m∠BAC ≅ m∠SRT given that ΔABC ≅ ΔRSTLearn more here:
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Can y'all help me this question ASAP this all I need
Answers
25/40x+ 8/40x = 99
This can be simplified to:
33/40x = 99
Next times both sides by 40
33x = 3960
Then, divide both sides by 33
x = 3960/33
x = 120
Write the following as an inequality.
w is less than 8 and greater than or equal to -3
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w>/= -3
Meaning the inequality is 8>w>/= -3
How does value of a affect the
parabola?
Answers
The parabola appears wider when |a| >1, the parabola appears thinner
When a is positive, the parabola opens upwards, but when a is negative parabola opens downwards
Step-by-step explanation:
brainliest?
3
10 points
A vector starts at point (-8,-6) and ends at point (7,-3) what is the horizontal component of the vector?
Type your answer...
Answers
A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum height of 10 mm halfway across a horizontal
distance of 80 mm.
Part A: Write the equation of the parabola in standard form that models the spider's jump. Show your work. (4 points)
Part B: Identify the focus, directrix, and axis of symmetry of the parabola. (6 points)
Answers
A parabola is a mirror-symmetrical U-shape.
The equation of the parabola is [tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]The focus is [tex]\mathbf{Focus = (80, -1760)}[/tex]The directrix is [tex]\mathbf{y = \frac{1}{640}}[/tex]The axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]From the question, we have:
[tex]\mathbf{Vertex: (h,k) = (80,10)}[/tex]
[tex]\mathbf{Origin: (x,y) = (0,0)}[/tex]
The equation of a parabola is:
[tex]\mathbf{y = a(x - h)^2 + k}[/tex]
Substitute the values of origin and vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{0 = a(0 - 80)^2 + 10}[/tex]
[tex]\mathbf{0 = a(- 80)^2 + 10}[/tex]
[tex]\mathbf{0 = 6400a + 10}[/tex]
Collect like terms
[tex]\mathbf{6400a =- 10}[/tex]
Solve for a
[tex]\mathbf{a =- \frac{1}{640}}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
The focus of a parabola is:
[tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
Substitute the values of a and the vertex in [tex]\mathbf{Focus = (h, \frac{k+1}{4a})}[/tex]
[tex]\mathbf{Focus = (80, \frac{10+1}{4 \times -\frac{1}{640}})}[/tex]
[tex]\mathbf{Focus = (80, -\frac{11}{\frac{1}{160}})}[/tex]
[tex]\mathbf{Focus = (80, -11\times 160)}[/tex]
[tex]\mathbf{Focus = (80, -1760)}[/tex]
The equation of the directrix is:
[tex]\mathbf{y = -a}[/tex]
So, we have:
[tex]\mathbf{y = \frac{1}{640}}[/tex] ----- the directrix
The axis of symmetry is:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
We have:
[tex]\mathbf{y = -\frac{1}{640}(x - 80)^2 + 10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}(x^2 -160x + 6400) +10}[/tex]
Expand
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x - 10 +10}[/tex]
[tex]\mathbf{y = -\frac{1}{640}x^2 +\frac{1}{4}x }[/tex]
A quadratic function is represented as:
[tex]\mathbf{y = ax^2 + bx + c}[/tex]
So, we have:
[tex]\mathbf{a = -\frac{1}{640}}[/tex]
[tex]\mathbf{b = \frac{1}{4}}[/tex]
Recall that:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
So, we have:
[tex]\mathbf{x = -\frac{1/4}{2 \times -1/640}}[/tex]
[tex]\mathbf{x = \frac{1/4}{1/320}}[/tex]
This gives
[tex]\mathbf{x = \frac{320}{4}}[/tex]
[tex]\mathbf{x = 80}[/tex]
Hence, the axis of the symmetry of parabola is: [tex]\mathbf{x = 80}[/tex]
Read more about parabola at:
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the ratio of yellow balls to green balls in a a bag is 4:2
what faction of the balls are yellow?
Answers
= 2/3
As we take total and divide by what we looking for
.
Answer: for every 1 green ball there is 2 yellow balls so 75% yellow 25% green I think unless I’m wrong which I wouldn’t be surprised
Step-by-step explanation:
the price of a shirt was reduced $15 to 9$ by what percentage was the price of the shirt reduced
Answers
If the price of the shirt was reduced from $15 to $9, the percentage reduction in price is 40%
How to find percentage reduction?
The price of the shirt was reduced from 15 dollars to 9 dollars. Therefore, the percentage reduction can be found as follows:
15 - 9 = 6 dollars
Therefore,
percentage reduction = 6 / 15 ×100
percentage reduction= 600 / 15
percentage reduction = 40%
Therefore, the percentage reduction in price is 40%.
learn more on percentage here: https://brainly.com/question/13450942
#SPJ1
3 ft
10 ft
Perimeter:
Area:
Answers
Step-by-step explanation:
The area = 3 × 10 = 30
The perimeter = 2(3 + 10) = 26
please give me a brainliest answer
Look at the equation shown below
Which of the following scenarios could be represented by the equation?
Cory is saving money by saving $3 per week. Her grandmother gave her $4 for her
birthday that she will put with her other savings. How many weeks. x win it take
her to save $322
Cory is saving money by saving $4 per week. She purchased a container for $3 that
she will use to store her money. How many weeks, x, will it take her to save $32
after paying for the container?
Cory is saving money by saving $3 per week. She purchased a container for $4 that
she will use to store her money. How many weeks x, will it take her to save $32
after paying for the container?
Cory has saved $32 and spends $4 on a large drink from Burger Bam. She wants to
buy several orders of fries that cost $3 aplece. How many orders of tries, x can Cory
buy after spending the $4 on the drink?
Answers
Answer:
106 weeks
9 weeks
9 weeks
9 tires
Step-by-step explanation:
1 (322-4)÷3=106
She nees to save for 106 weeks
2 (32+3)÷4=8.75
She need to save 9 weeks becouse complite decimal
3 (32+4)÷3=9
she need to save for 9 weeks
4.(32-4)÷3=9.33
she can order 9 tires
(1/2a - 2/3b) ( 3/5a + 2/3b) multiply the following
Answers
Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
Which graph shows the solution to this system of inequalities? y ≤ x + 1 y > -3x – 2
Answers
x - 4 < 4y
1/4x -1
it is y > so the area is above the line y = 1/4x -1 so D is not right
second one
y < x + 1
Insert 3 arithmetic means between 10 and -10 (INSERT SOLUTION)
Answers
Answer:
5, 0, -5Step-by-step explanation:
Numbers in sequence are:
10, a, b, c, -10The difference between end points:
-10 - 10 = -20Common difference of 5 terms:
-20 / (5 - 1) = - 5The missing numbers are:
a = 10 - 5 = 5b = 5 - 5 = 0c = 0 - 5 = -5How many faces does a right rectangular prism have if it has 8 vertices and 12 edges?
A. 4 faces
B. 6 faces
C. 8 faces
D. 10 faces
Answers
Answer:
B
Step-by-step explanation:
I think
What is the vertex of the graph of f(x) = 4(x+5)²-1?
Answers
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
Find the surface area of the regular hexagonal prism. Round your answer to the nearest hundredth.
A. 528 55 mm
B. 628 55 mm
C. 720 55 mm
D. 860 55 mm
Answers
860.55 mm
Explanation:
The surface area of an hexagonal prism, also known as an octahedron, is given by the following formula (since we have the apothem):
S= 6*b*(a+h)
where b = is the side of the base, a is the apothem length, and h = the height
S = 6 * 8 * (4√3 + 11) = 48 * 17.92812 = 860.55 sq mm
Could have also have used another formula without the apothem:
S =3 * √3 * b² + 6 * b * h
S = 3 * √3 * 8² + 6 * 8 * 11 = 3√3 * 64 + 528 = 332.55 + 528 = 860.55 sq mm
Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following proves that PQ=LO?
Answers attached
Answers
The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:
[tex]\mathbf{L = (0,0)}[/tex]
[tex]\mathbf{M = (3,0)}[/tex]
[tex]\mathbf{N = (3,7)}[/tex]
[tex]\mathbf{O = (0,7)}[/tex]
P is the midpoint of LM.
So, we have:
[tex]\mathbf{P = \frac{LM}{2}}[/tex]
[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]
[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]
Q is the midpoint of NO.
So, we have:
[tex]\mathbf{Q = \frac{NO}{2}}[/tex]
[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]
[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]
Distance PQ is calculated as follows:
[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]
This gives:
[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{PQ = 7}[/tex]
Distance LO is calculated as follows:
[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]
[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]
[tex]\mathbf{LO=7}[/tex]
So, we have:
[tex]\mathbf{PQ = 7}[/tex]
[tex]\mathbf{LO=7}[/tex]
Thus:
[tex]\mathbf{PQ = LO}[/tex]
Hence, the correct option is (a)
Read more about distance and midpoints at:
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Rittle - Mary didn't know how to pronounce the name but she knew that she had to go inside to impress her parents, where was she? (giving out the answer in 5 mins. SO HURRY)
Answers
Which matrix multiplication is defined ?
Answers
Answer:
A. CB
Step-by-step explanation:
3 x 2 (C is a 3 by 2) matrix can be multiplied to a 2 x 2 (B is a 2 by 2) matrix since C has 2 columns that are equal to the number of rows in the second matrix B.
A way of checking if two matrices can be multiplied is to first check the number of columns the first matrix contains and then check the number of rows that the second matrix contains.
If the number of columns in the first matrix equal the number of rows in the second matrix then that means it is possible to multiply these matrices.
7
10 points
One force of magnitude 48 acts on an object. Another force of magnitude 90 acts on the object at a right angle, what is the magnitude of the resultant force on the object?
Type your answer...
Answers
Josiah skateboards from his house to school 3 miles away. It takes him 36 minutes.
How many minutes will it take Josiah to skateboard to his friend Sebastian’s house, which is 2 1/2
miles from school, if he travels at the same rate that he did from his house to school?
In the box below, type the number that goes in the blank.
Answers
Using the speed - distance relationship, the number of minutes it will take Josiah to cover a distance of 2.5 miles is 30 minutes.
Calculating Josiah's speed :
Speed = (distance ÷ time)Speed = (3 ÷ 36) = 0.08333 miles per minute.
Time taken to cover a distance of 2.5 miles :
Time taken = (Distance ÷ Speed)Time taken = (2.5 ÷ 0.08333) = 30 minutes
Therefore, it will take 30 minutes for Josiah to cover a distance of 2.5 Miles
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Based on What you learned about economics of organic produce, explain why buying organic food is so expensive
Answers
Answer:(:
Step-by-step explanation:
Organic food production is usually more labour and management intensive and happens on a smaller scale ie on smaller farms which lack the benefit of economy of scale.
HELP PLSSS THIS IS HARD SOMEONEEE
Answers
Answer:
Chase is correct. the first one
Step-by-step explanation:
If 20 apples cost N300 how many apples can be bought for N1875
Answers
Answer:
28125
Step-by-step explanation:
300÷20=15
15×1875=28125
Someone help :(( thank youuuu so much if u do
Answers
Answer:
-10
Step-by-step explanation:
The equation would be -8 - (-10) = 2. When subtracting a negative, you are actually just adding a positive. It's like the two negative signs cancel each other out, so it would look more like -8 + 10 = 2. For the answer box, just put -10.
please help asap!!
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Answers
Answer:
a. y = 2x + 1
b. 20
Step-by-step explanation:
a. With each increasing figure, two more blocks are added on. Through this, we can determine the rule:
y = 2x + 1
y being the total number of blocks in a figure
x being the number of the figure.
_________
b. To figure out which figure number has 41 squares, we can set the equation we found equal to 41.
41 = 2x + 1
40 = 2x
20 = x
So figure 20 will have 41 squares.
I need help please asap!!
Answers
Answer:
I think its step 2.
Step-by-step explanation: Correct me if im wrong. Hope it helps. :)
Answer:
Step 1 ;
Step-by-step explanation:
Convert the division into a multiplication and then flip the fraction .
[tex] \frac{7}{9} \div \frac{3}{8} \\ \\ \\ \frac{7}{9} \times \frac{8}{3} [/tex]
2. Given that a = 3 , b = 2, and c = −1, evaluate each of the following expressionsa) (a+3b)
Answers
Answer:
9
Step-by-step explanation:
if you substitute a for 3 and b for 2 you should get 9
