These triangles are similar and the sides are proportional. Which proportion correctly describes the situation below?
Answer:
Option (3)
Step-by-step explanation:
"If two triangles are similar, their corresponding sides are proportional."
We will check each proportionality ratio given in the options for the given property,
Option (1),
[tex]\frac{QB}{DM}=\frac{DF}{QL}=\frac{LB}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{5}{8.75}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{4}{7}=\frac{7}{4}[/tex]
But [tex]\frac{7}{4}\neq \frac{4}{7}[/tex].
Therefore, this option is not the answer.
Option (2),
[tex]\frac{FM}{LB}=\frac{BQ}{MD}=\frac{QL}{DF}[/tex]
[tex]\frac{6}{10.5}=\frac{3.5}{2}=\frac{8.75}{5}[/tex]
[tex]\frac{4}{7}=\frac{7}{4}=\frac{7}{4}[/tex]
But [tex]\frac{4}{7}\neq \frac{7}{4}[/tex],
Therefore, this option is not the option.
Option (3),
[tex]\frac{BQ}{MD}=\frac{QL}{DF}=\frac{BL}{MF}[/tex]
[tex]\frac{3.5}{2}=\frac{8.75}{5}=\frac{10.5}{6}[/tex]
[tex]\frac{7}{4}=\frac{7}{4}=\frac{7}{4}[/tex]
Therefore, this option is the answer.
Option (4),
[tex]\frac{6}{10.5}=\frac{2}{3.5}=\frac{5}{10.5}[/tex]
[tex]\frac{4}{7}=\frac{4}{7}=\frac{10}{21}[/tex]
But, [tex]\frac{4}{7}\neq \frac{10}{21}[/tex]
Therefore, this is not the correct option.
HELP 5TH GRADE ,]\\ MADEGVGUGU MATH
Answer:
i think base. i might be wrong.
Step-by-step explanation:
Answer:
Its period................
PLEASE HELP
WILL GIVE BRAINLIEST
Answer:
1 1/3 or 4/3
Step-by-step explanation:
7 10/12 - 6 6/12 = 1 4/12
simplify.
1 1/3
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
First we need to make the fractions normal. We multiply 7 times 6 to get 42, then add 42 to 5 to get 47/6. Then we multiply 6 times 2 to get 12, then add 1 to that to get 13/2. Then we multiply both the 13 and the 2 by 3 to get 39/6. Then subtract 39 from 47, this gives us 8/6, we can then simplify this to get 4/3 or 1 and 1/3.
is 12/7 and 36/21 proportional?
Geometry Find the area of the Triangle
Answer:
A = 148.92 sq in
Step-by-step explanation:
A = bh/2
A = 20.4(14.6) ÷ 2
A = 297.84 ÷ 2
A = 148.92 sq in
An object’s will remain constant throughout the universe, but its can change from planet to planet. If you increase the mass of a planet, what happens to its gravity? If the gravity on a planet decreases, what happens to the weight of an object on that planet?
Answer:
Step-by-step explanation:
it becomes lighter :P or maybe you could say "bouncier" :P
Answer:
It decreaases
Step-by-step explanation:
If the gravity of a planet decreases, there is less pull to the center of said planet, making the object weigh less.
9,923.33 X 28% / 100 =
HELPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!
Answer:
A. The area is [tex]78.54m^2[/tex]
B. She needs to cover 1661.9 square feet of tiles for the base of the swimming pool
Step-by-step explanation:
Question A:
Let us assume that the leash is pegged to the ground using a stake. as a result, the dog can move around the stake. The path that the motion of the dog would trace is a circle, and the radius of the circle will be the length of the leash.
Since we know this, we can easily find the area of the circle using [tex]\pi r^2[/tex]
Area of the circle = [tex]\pi \times 5 \times 5 = 78.54m^2[/tex]
Question B
Dulce wants to cover the whole surface area of the floor of the circular swimming pool with tiles.
We already know that the swimming pool is circular, hence, the surface area of the base of the swimming pool will be the same as the area of a circle, with the same radius.
The area of the circle can be calculated using [tex]\pi r^2[/tex]
Area of circle = [tex]\pi \times 23 \times 23 = 1661.9ft^2[/tex]
f(5)=12 for a geometric sequence that is defined recursively by the formula f(n)=0.3xf(n-1) where n is an integer and n>0. find f(7).
round your answer to the nearest hundredth
Answer:
m
Step-by-step explanation:
At Smith's Bike Rentals, it costs $33 to rent a bike for 9 hours.
How many dollars does it cost per hour of bike use?
Answer:
$3.66
Step-by-step explanation:
I divided 33 by 9
Can somebody help me out my grade are bad
3. During geometry class, Mr. Jones constructed the perpendicular bisector of segment AB as
shown below.
If AC = 4x + 12 and BC = 2x + 18, find AB.
A. 3
B. 6
C. 24
D. 48
Answer:
D
Step-by-step explanation:
If bob had 4 apples and tim had 6 oranges but john had 4 times more oranges then tim but stephaine had 6 times more apples then bob and jimmy had 4 bannanas and sid had to the power of 6 of what jimmy had
how many fruits would everyone have?
Answer:
bob=4
tim=6
john=4x6=24
stephaine:24
jimmy=4
sid=1296
Step-by-step explanation:
so final answer 1358
Adjust the number into correct standard form.
2206×10^9
Answer:
2.306
Step-by-step explanation:
u while times the number
help me fast fast 10 and 11
Answer:
half, 50%
Step-by-step explanation:
Can someone tell me the answer to this?
Answer:
option 1 n<4
Step-by-step explanation:
Answer:
the packers fan is right, it's option 1: n<4
Step-by-step explanation:
Find the area inside the 26m square and outside the circle. Use 3.14 for π. A circle is fully inside a square with sides of length 26 meters, such that the circle touches the center of each side of the square.
Answer:
A(b) = 145,34 m²
Step-by-step explanation:
Area of the square of side l = 26 m A(s) = l² A(s) = (26)²
A(s) = 676 m²
Areaof the circle of radius r = 13 A(c) = π*(r)² A(c) = π*(13)²
A(c) = 169*π m²
Then the area outside the circle and inside the square A(b), is the difference between the area of the square minus the area of the circle, that is:
A(b) = A(s) - A(c) = 676 - 169*π m²
A(b) = 676 - 530,66 m²
A(b) = 145,34 m²
How many more lawns can Logan m
Logan and Brian both mow lawns.
Logan mows lawns at a constant speed. It takes Logan 4 hours to mow
8 lawns. PLZZ DO IT RIGHT NO LINKS PLZ
Answer: 1
Step-by-step explanation:
classify the pair of angles shown.
Answer:
complementary angle
Step-by-step explanation:
hope this helps u
Please help if you can.
Show the steps if you do.
Answer:
1. 6.13
2. 0.57
Step-by-step explanation:
1. 7 x 4 = 28
28 / 8 = 3.5
3.5 x 7 = 24.5 / 4 = 6.13
s = 6.13
2. 2 x 3 = 6
6 / 7 = 0.85
0.85 x 2 = 1.71
1.71 / 3 = 0.57
s = 0.57
Sorry if I get most of them wrong
what is x? Options: 81, 57, 143, 66.
Answer:
x = 103
Step-by-step explanation:
In my opinion, because x and 77 are the supplementary angles, so 180-77 = x or x+77=180. The answer should be 103......even though it's not in the options (I'm sorry).
Answer:103 degrees
Step-by-step explanation:
Straight line equals 180 degrees
180 degrees minus 77 degrees = 103 degrees
please help on a test!!!
Solve the system using inverse
matrices.
5x – 4y = 3
(2x + 3y = 38
Answer:(7, 8)
Step-by-step explanation:
If r is directly proportional to s and r 8 when s 3 find s when r 11
Answer:
s = 33/8 or 4 1/8
Step-by-step explanation:
find 'k', constant of proportionality first:
8 = 3k
k = 8/3
11 = 8/3s
s = 11/1 ÷ 8/3
s = 11/1 x 3/8
s = 33/8 or 4 1/8
If y represents a student's age, which inequality shows that you must be older than 14 to
try out for the basketball team?
A y < 14
B. y > 14
c.y > 14
D. 14 = y
How do you write 6.7 x 10^2 in standard form?
Answer:
6.7*10² is the standard form.
Step-by-step explanation:
Standard form is the simplest form.
Brainliest please?
XxRoadToAcexX
what is the scale factor of 4 and 6 reduced by 1/2?
Answer:
n
Step-by-step explanation:
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected. If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively, what is the distance travelled by the ray?
Answer:10
Step-by-step explanation:24-6-8=10
The distance travelled by the ray will be 26 inches. Then the correct option is B.
What is coordinate geometry?Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.
If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.
Then the distance travelled by the ray will be
We know the formula
D² = L² + W² + H²
We have
L = 24 in
W = 6 in
H = 8 in
Then the distance will be
D² = 24² + 6² + 8²
D² = 576 + 36 + 64
D² = 676
D = 26 in
Thus, the correct option is B.
More about the coordinate geometry link is given below.
brainly.com/question/1601567
#SPJ2
V≈ [blank] V≈ [blank] in.3in.3 Enter your answer as the decimal number that correctly fills in the previous blank, rounded to the nearest hundredth, like this: 42.53
Answer:
3,799.4in³
Step-by-step explanation:
Find the diagram attached;
Volume of the cylinder = πr²h
From the given figure;
radius r = 11in
height = 10in
Substitute
V = π(11)²((10)
V = 3.14 * 121 * 10
V = 31.4*121
V = 3,799.4 cubic inches
Hence the volume of the cylinder is 3,799.4in³
A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled x xx meters, in newton meters, is given by τ ( x ) = 2 1000 sin ( 2 π ( x + 0.2 ) 4 ) τ(x)= 1000 2 sin( 4 2π(x+0.2) )tau, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 1000, end fraction, sine, left parenthesis, start fraction, 2, pi, left parenthesis, x, plus, 0, point, 2, right parenthesis, divided by, 4, end fraction, right parenthesis. What is the midline of this function? Give an exact answer. y =
Question:
A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by
[tex]\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )[/tex]
Answer:
y = 0
Step-by-step explanation:
The general form of the sine function is presented as follows;
y = A·sin[B·(x - C)] + D
Where;
A = The amplitude
C = The horizontal shift
D = The vertical shift above the generic midline of y = 0 = Constant
By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.
The average of 6 ages men is 35 years and the average of four of them is 32. Find the ages of the remaining two men if one is 3 years older than the other
Answer:
the first one must be 39.5 and the other 42.5
Step-by-step explanation:
multiply 35 by 6 and subtract 32 x 4 you are left with 82. Divide that by 2 and make the difference 3.