Answer:
x = 6
Step-by-step explanation:
For the triangles to be similar then the ratios of corresponding sides would be equal, that is
[tex]\frac{DF}{XZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values
[tex]\frac{3(x-1)}{7.5}[/tex] = [tex]\frac{10}{x-1}[/tex] ( cross- multiply )
3(x - 1)² = 75 ( divide both sides by 3 )
(x - 1)² = 25 ( take the square root of both sides )
x - 1 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 1 to both sides )
x = 1 ± 5 , then
x = 1 + 5 = 6 or x = 1 - 5 = - 4
But x > 0 then x = 6
For the triangle to be similar then x = 6
DUS is a 30°-60°-90° triangle with short leg SU. If SU = x, determine the
length of the long leg and the length of the hypotenuse.
Answer:
SD = 2x
UD = x[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The hypotenuse of a 30-60-90 triangle is 2 times the length of the shorter leg.
SU is the shorter leg = x
So, SD = 2x
The longer leg of a 30-60-90 triangle is [tex]\sqrt{3}[/tex] times the shorter leg.
So, UD = x[tex]\sqrt{3}[/tex]
Answer:
Below in bold.
Step-by-step explanation:
In a 30-60-90 triangle the sides are in the ratio 1:√3:2 so if the shortest side SU = x then the long leg = √3x and the hypotenuse = 2x.
Consider the sequence:-2, -10,-50,-250, ...
Find the next term in the sequence
Answer:
-1,250
Step-by-step explanation:
its multiplying by 5
Answer:
Next term = -1250.
Step-by-step explanation:
Difference = x5
-250 x 5 = -1250.
What is the value of x in the diagram below??
Answer:
2.6
Step-by-step explanation:
Just divide 5 by 13 to get 2.6 then times 5 and 2.6 is 13
HELP ASAP PLEASE
(3^2)^4
Answer:
6561
Step-by-step explanation:
3^2= 3*3=9 9^4= 9*9*9*9= 6561
Answer:
[tex]((3)^2)^4 = (9)^4 = 6561\\\\\\OR\\\\\\(3)^2)^4= 3^8 = 6561[/tex]
MARKS BRAINLISET
PLEASEE HELPPP
Answer:
One student has lived in 7 states
Step-by-step explanation:
A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the following correctly describes the effect on the surface area? Help ASAP!!!
Answer:
The surface area is multiplied by 1/4.
Step-by-step explanation:
15 point:Which label on the cone below represents the center of the base?
Answer:its C because the base is the bottom of the figure and C goes to the middle point at the bottom of the figure
Step-by-step explanation:
70 POINTS PLEASE HELP
Answer:
decreases by about 5 beats per minute
His resting heart beat is about 80 beats per minute
2 1/8 - 1/2
PLEASE TELL ME STEP BY STEP AS FAST AS POSSIBLE
THANK YOU!
[tex]2\frac{1}{8} - \frac{1}{2} = \frac{8*2+1}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1}{2} = \frac{17}{8} - \frac{1*4}{2*4} = \frac{17}{8} - \frac{4}{8} = \frac{17-4}{8} = \frac{13}{8} = 1\frac{5}{8}[/tex]
Rotate the given triangle
90°clockwise about the origin.
21
2 21
-1 3
?
1
Answer:
Step-by-step explanation:
-1 -1 3
1 -2 -2
The new coordinates of the vertices after a 90° clockwise rotation about the origin are:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
What occurred when you rotated 90 degrees clockwise?If we rotate a triangle 90° counter clockwise about the origin,
Then if one of its vertices be (x, y), it will be changed to (y, x).
The triangle is given as follows:
[tex]\left[\begin{array}{ccc}-1&2&2\\-1&-1&3\\\end{array}\right][/tex]
To rotate the given triangle 90° clockwise about the origin, we can use the rotation matrix:
[tex]\left[\begin{array}{ccc}cos90^{o}&-sin90^{o}\\sin90^{o}&cos90^{o}\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}0&-1\\1&0\\\end{array}\right][/tex]
To apply this rotation matrix to each vertex of the triangle, we multiply it with the coordinate vector of each vertex.
Let's denote the vertices of the triangle as A, B, and C.
A = (-1, -1)
B = (2, -1)
C = (2, 3)
Applying the rotation matrix to each vertex, we have:
[tex]A' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} -1 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ -1 \end{bmatrix}[/tex]
[tex]B' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ -1 \end{bmatrix} = \begin{bmatrix} 1 \ 2 \end{bmatrix}[/tex]
[tex]C' = \begin{bmatrix} 0 & -1 \ 1 & 0 \end{bmatrix} \begin{bmatrix} 2 \ 3 \end{bmatrix} = \begin{bmatrix} -3 \ 2 \end{bmatrix}[/tex]
Therefore, the new coordinates of the vertices after a 90° clockwise rotation about the origin are:
A' = (1, -1)
B' = (1, 2)
C' = (-3, 2)
This can be written as follows:
[tex]\left[\begin{array}{ccc}-1&1&-3\\1&2&2\\\end{array}\right][/tex]
Learn more about the rotating triangle here:
https://brainly.com/question/22878771
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An suv goes 330 miles on 15 gallons of gas, what is the number of miles per gallon the suv gets?
Answer:
22
Step-by-step explanation:
330/15 = 22
PLEASEE HELP WITH THIS IMAGE!! WILL GIVE BRAINLIEST!!!!
Step-by-step explanation:
area of the triangle
1/2xbxh
1/2(12x9)
1/2(108)
area of triangle is 54in²
area of rectangle
2(L+W)
2(15+6)
2(21)
area of rectangle is 42in²
Total area is 96in²
Answer:
323
This link could help u understand:
https://www.you tube.com/watch?v=HtXPpqKud5U
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
A TV weather channel reports a 35% chance of rain today.
What is the probability that it will not rain today?
Answer:
There is a 65% chance it will not rain
Step-by-step explanation:
The probability must add to 100%. There are two choices: it will rain or it will not rain
100-35% = 65%
There is a 65% chance it will not rain
Which factors of −14 are used to factor x2+5x−14?
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form
In the diagram, △ABC∼△DEF. The area of △ABC is 12 square inches. Find the area of △DEF
Answer:
A=3
Step-by-step explanation:
so the scale factor from ABC to DEF is 1/4. so 8*1/4 is 2 which is what they give us. so 12 *1/4 would be 3. The area of DEF is 3.
Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation?
Answer:
A triangle is dilated by scale factor of 1/5
Step-by-step explanation:
A triangle has three sides. All the corresponding angles of triangle must be congruent. When the triangle is dilated it is rotated 90 degrees clockwise about its origin. The shape of the triangle will not change due to rotation of dilation.
Mancuso wants to draw a sector whose area is 2 times the area of the sector shown
Which method will NOT work?
Answer:
Multiply the radius, r, by 2. Keep the angle measure x.
Step-by-step explanation:
The area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
What is function?A function is a relation between a dependent and independent variable.
Mathematically, we can write → y = f(x) = ax + b.
Given is that Mancuso wants to draw a sector whose area is 2 times the area of the sector shown.
The area of the sector given is -
A = {x/180} x πr²
For the area to be double, we can write the area of the sector as -
A{new} = 2 × {x/180} × πr²
A{new} = {x/90} × πr²
Therefore, the area of the sector whose area is double as that of given sector is : A{new} = {x/90} × πr².
To solve more questions on sectors, visit the link-
brainly.com/question/29014197
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Find w(-5) given the function:
w(t) = 3t - 1
Answer:
-16
Step-by-step explanation:
Replace all t with -5:
w(t) = 3t - 1
w (-5) = 3(-5) - 1
w(-5) = -16
Answer:
-16
Step-by-step explanation:
Which statement below compares the decimals correctly? (3 points) A 0.63 < 0.48 B 0.48 = 0.63 C 0.63 > 0.48 D 0.48 > 0.6
Answer:
[tex](c)\ 0.63 > 0.48[/tex]
Step-by-step explanation:
Given
[tex]0.63[/tex] and [tex]0.48[/tex]
Required
Which compares them correctly
[tex](a)\ 0.63 < 0.48[/tex]
This is incorrect because 0.63 is greater
[tex](b)\ 0.48 = 0.63[/tex]
This is also incorrect because 0.63 is greater
[tex](c)\ 0.63 > 0.48[/tex]
This is also correct because 0.63 is greater
[tex](d)\ 0.48 > 0.63[/tex]
This is also incorrect because 0.63 is greater
Please help I’m failing the class!! also please show your work if possible thanks!
9514 1404 393
Answer:
m∠c = 52°
Step-by-step explanation:
Corresponding angles are congruent:
13x +11° = 15x -7° . . . . . the corresponding angles have equal measures
18° = 2x . . . . . . . . . . . . add 7° -13x to both sides
9° = x . . . . . . . . . . divide by 2
Now, we can find c. It is supplementary to the corresponding angles.
c = 180° -(15x -7°) = 180° -15(9°) +7° . . . . . substitute for x
m∠c = 52°
What is simplifying? I honestly know what it is, but I forgot the definition.
A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?
Answer:
30
Step-by-step explanation:
40/100 x 50= 20
50-20=30
Answer:
30.00
Step-by-step explanation:
Find the area of a circle with a circumference
of 50.24 units.
units2
Use 3.14 for II and label your answer in square units. Ex: 4 square units OR 4 units squared
Answer:
Hello! answer: 200.96
Step-by-step explanation:
50.24 ÷ 3.14 = 16 16 ÷ 2 = 8 8 × 8 × 3.14 = 200.96 therefore are area is 200.96 HOPE THAT HELPS!
Answer:
200.96
Step-by-step explanation:
Khan academy
Consider the diagram below with parallel planes D and N.
Which of the following statements about the figure are true? Select all that apply.
FA is a line, line segment, and a ray.
Lines rands are perpendicular,
Ray RO and Ray CA form an angle.
A FA is a line, line segment and a ray
B lines r and s are perpendicular
C Ray RO and Ray CA form an angle
D M and C are Collin war and coplanar
E F, O, and R are coplanar in D
F Ray MC and Ray CA form a 90 degree angle
G using segment addition postulate, FO + OC = FA
Answer:A
Step-by-step explanation:line segment
The diameter of a circle is 22 meters. What is the circle's area?
Answer:
Step-by-step explanation:
A=3.14 x 22m x 22m
A=69.08m x 22m
A=1519.76m2 (squared po yan)
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:D..the diagonals bisect each other. Since bisectors divide the diagonals equally in two parts.
Answer:
C.
Step-by-step explanation:
7/2 x+1/2x=1/2+9/2x help
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
Step 1: Simplify both sides of the equation.
[tex]\frac{7}{2}x+\frac{1}{2}x=\frac{1}{2}+\frac{9}{2}x[/tex]
[tex](\frac{7}{2}x+\frac{1}{2}x)=\frac{9}{2}x+\frac{1}{2}[/tex] (Combine Like Terms)
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
[tex]4x=\frac{9}{2}x+\frac{1}{2}[/tex]
Step 2: Subtract [tex]\frac{9}{2}x[/tex] from both sides.
[tex]4x-\frac{9}{2}x=\frac{9}{2}x+\frac{1}{2}-\frac{9}{2}x[/tex]
[tex]\frac{-1}{2}x=\frac{1}{2}[/tex]
Step 3: Multiply both sides by [tex](\frac{2}{-1})[/tex].
[tex](\frac{2}{-1})*(\frac{-1}{2}x)=(\frac{2}{-1})*(\frac{1}{2})[/tex]
[tex]x=-1[/tex]
Therefore, [tex]x=-1[/tex] will be your final answer.
Sorry this took very long. I had to calculate all of this.
∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x + 18 ) ∘ ∠A=(2x+18) ∘ and m ∠ B = ( 6 x − 8 ) ∘ ∠B=(6x−8) ∘ , then find the measure of ∠ B ∠B
Answer:
Step-by-step explanation:
in complementary angles sum of two angles is always 90 degree .
2x+18+6x-8=90
8x+10=90
8x=90-10
x=80/8
x=10
angle B=6x-8
=6*10-8
=60-8
=52 degree
therefore angle B is 52 degree
Arc measure - Hello! Can you please help me and if you can explain the formula that would be awesome!
9514 1404 393
Answer:
88°
Step-by-step explanation:
Angle MQP is called an "inscribed angle." Its vertex (Q) is on the circle, and its sides are chords of the circle. The ends of the sides intercept arc MP. The relationship between an inscribed angle and the intercepted arc is that the measure of the arc is twice the measure of the angle.
arc MP = 2×∠MQP = 2×44°
arc MP = 88°
I NEED HELP ASAP!!! What is the value of a?
9514 1404 393
Answer:
C. 17.25
Step-by-step explanation:
The product of distances from the common point to the two circle intersection points is the same for each secant.
5(5+12) = 4(4+a)
69 = 4a . . . . . . . . subtract 16, simplify
17.25 = a . . . . . . . divide by 4