I need help math work (geometry) :P​

I Need Help Math Work (geometry) :P

Answers

Answer 1

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


Related Questions

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.

Answers

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

Answers

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??

Answers

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

Answers

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

Answers

Answer:

One student has lived in 7 states

Step-by-step explanation:

It’s one student has lived in 7 states

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!!!

Answers

The surface area would be subtracted by 1/2

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?

Answers

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

Answers

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!

Answers

[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

Answers

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

#SPJ7

An suv goes 330 miles on 15 gallons of gas, what is the number of miles per gallon the suv gets?

Answers

Answer:

22

Step-by-step explanation:

330/15 = 22

PLEASEE HELP WITH THIS IMAGE!! WILL GIVE BRAINLIEST!!!!

Answers

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?​

Answers

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

Answer:
65%

Explanation:
100%-35%=65%

Which factors of −14 are used to factor x2+5x−14?

Answers

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

Answers

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?

Answers

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?

Answers

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

#SPJ2

Find w(-5) given the function:
w(t) = 3t - 1

Answers

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

Answers

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!

Answers

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.

Answers

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. You

A hat's original price was $50. It is on sale for 40%0ff. How much does it cost?

Answers

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

Answers

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

Answers

Answer:A

Step-by-step explanation:line segment

The diameter of a circle is 22 meters. What is the circle's area?

Answers

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)

Answers

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

Answers

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

Answers

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!

Answers

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?

Answers

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

Other Questions
A water tank in the shape of a rectangular has a volume of 900 cubic feet. It is 15 feetlong, 10 feet wide. What is the height of the water tank?HELP PLEASE Stephanie is hosting an art show and she would like to raise at least $800. She plans onselling VIP tickets to her family and friends for $20 each. She will also sell general admis-sion tickets for $40 each. The venue is small, so Stephanie can sell no more than 25 totaltickets. Which is the answer ?! Please help A $1,000 face value coupon bond will pay 5 percent interest annually for 12 years. What is the percentage change in the price of this bond if the market yield rises to 6 percent from the current level of 5.5 percent How is a dramatic monologue well suited for presenting the Duke's character? The amount of goods and services consumers want is called theA. countB. demandC. numberD. supply What does the expression l.w represent What is a mock savings schedule? I don't understand what it is, or what it looks like. Can someone help me? I need this for a question for Life Skills. How do I do this ???! is the sum of all the values that customers exchange for the benefits of having or using a product or service. what is 20% of 102.84 A crate is being lifted into a truck. If it is moved with a 2470 N force and 3650 J of work is done, then how far is the crate being lifted? You have read two opposing points of view in "The Dangers of Social Media." In your opinion, which author made the stronger argument? Why was the author you chose more convincing? Use evidence to support your answer. 2. How do your respiratory and circulatory systems attempt to maintain homeostasis during exercise?A. Your body produces more red blood cells to help provide energy to cells.B. Your lungs produce more oxygen which is then delivered to the cells through the blood.C. You experience an increase in blood flow which provides nutrients to cells to increase energy andremove wastes.D. You experience an increase in breathing rate to obtain more oxygen which is delivered to cellsthrough the bloodstream. If a polygon has 8 sides its an octagon, but how do i know if its regular or not? do i see if the sides are equal? please let me know because im not so sure 8) What was one of the most important inventions during the Tang Dynasty? Why was thisinvention important? The concept of nationalism came to be known as The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formla represents the volume of the pyramid? What is the circumference of the half circle? QUESTIONSChoose the answer that best describes the attributes of the following argument:All tacos are made with used tires. Taco bell makes tacos. Thus, Taco Bell tacos are made with used tires.Deductive, Valid, and SoundDeductive, Valid, and UnsoundDeductive, Invalid, and SoundDeductive, Invalid, and UnsoundQUESTIONS