For the diagram at right, write and solve an equation to find x

Answer:

Angles x and y measure 115°. Angle Z measures 65°.

Step-by-step explanation:

Since a rhombus is a parallelogram, opposite angles are congruent, and consecutive angles are supplementary.

The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The adjecent angle of the rhombus is supplementary. Then the value of 'x' is given as,

65° + ∠x = 180°

∠x = 180° - 65°

∠x = 115°

The opposite angle of the rhombus is congruent to each other.

∠y = ∠x

∠y = 115°

∠z = 65°

The measure of the angles x, y, and z will be 115°, 115°, and 65°, respectively.

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The ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have line;

2x+y=8

x/4 + y/8 = 1

Coordinate for A(4, 0) and B(0, 8)

To find the coordinate C we will use external section formula:

Let (a, c) be a coordinate for C

AB : BC = 2:1

AC:BC = 3:1  

[tex]\rm C(a, b) =( \dfrac{-4}{3-1}, \ \dfrac{24}{3-1})[/tex]

C(a, b) = (-2, 12)

Let coordinate for E(0, e) and for D(f, 0)

EC:DC=1:2 and C(-2, 12)

So after applying section formula, we will get:

E(0, -3) and D(0, 36)

Area of triangle AEC = (1/2)(7)(12) = 42 square units

Area of triangle BCD = (1/2)(28)(2) = 28 square units

ratio of area of triangle AEC : area of triangle BCD = 42:28

= 21:14

Thus, the ratio of the area of triangle AEC and area of triangle BCD is 21:14 if the A, B and C are points on the line 2x+y=8

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Answer:

0.19, 0.23, 0.28...............

Answer:

slope = 3x

Step-by-step explanation:

Equation is y = 3x - 6
3x is slope

Answer:

C. Step 3

Step-by-step explanation:

Fred lost the negative sign, but everything else was right. He should have gotten -9.

A fraction/probability is created by taking what we want and putting that over the total.

In this case, we want yellow out of the total number of marbles.

Yellow Marbles = 1

Total Marbles = 6 + 1 + 2 + 3 = 12

Probability/Fraction = 1 / 12

Hope this helps!

Answer:

So, we can check step by step.

2x^2-7x+5=0

So, 2x^2-2x-5x+5=0 is correct

2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct

(I'll skip the next step)

2x-5=0,

2x=5

x=5/2, NOT 2/5

The other one is correct

Sorry if this seems a bit vague!

[tex]\\ \rm\Rrightarrow 2x^2-7x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x^2-2x-5x+5=0[/tex]

[tex]\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow (2x-5)(x-1)=0[/tex]

[tex]\\ \rm\Rrightarrow x=5/2,1[/tex]

Lauren written 2/5 instead of 5/2

Let's verify once more

Answer:-7,0,1.5

Step-by-step explanation: they are lower then number three

Answer:

A:)

Step-by-step explanation:

l and lll

In this situation, it is true buying three pairs of socks costs less at the store and buying fout pairs costs the same online and in the store.

Store: $5 x 3 = $15

Online: $3.50 x 3 = $10.5 + $6 = $16.5

This shows buying three pairs cost less at the store, which makes the first statement correct.

Store: $5 x 4 = $20

Online: $.3.50 x 4 = $14 + $6 = $20

This shows buying four pairs is the same in the store or online.

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Answer:

55 - you multiplied 6 by 11 to get 66 so you multiply by 5 by 11 to get 55.

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

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A number raised to an exponent is the number multiplied by itself the number of the exponent:

10^3 = 10 x 10 x 10 = 1,000

Answer:

1. V = 130 in³

Step-by-step explanation:

1. You can find the volume of a rectangular prism with this formula:

( l • w )h

(20 • 2)3 1/4

=

130

And then add the label in³

2. V = 20 ft³

2. A box is the same as a rectangular prism.

Use the same formula to find the answer.

(4•2 1/2)2

=

20

And then add the label ft³

3. V = 10 in³

3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.

5/4 = 1 1/4 or 1.25

(1.25 • 2)2

=

10

And then add the label in³

PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!

Answer:

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

  [tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]

  k

  T(4)

Filling in the given numbers, we have ...

  185 = 68 +(208 -68)e^(-k·3)

  117/140 = e^(-3k) . . . . . subtract 68, divide by 140

  ln(117/140) = -3k . . . . . . take natural logarithms

  k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

  T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

  T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

Answer:  

x = 4

Step-by-step explanation:

See attachment.

Answer:

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed).

Step-by-step explanation:

hope this helps if does mark brainllest

An exponential decay function is flx) = (-3)9, the correct option is D.

Consider the function:

[tex]y = a(1\pm r)^m[/tex]

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %

If there is negative sign, then there is exponential decay happening by r fraction or 100r %

We are given that;

f(x) =4

An exponential decay function is a function of the form:

f(x) = ab^x

where a and b are positive constants and b < 1.

The value of b determines how fast the function decreases as x increases. The smaller the value of b, the faster the decay.

To find which option is an exponential decay function, we need to compare their values of b.

Option A has f(x) = 4(1/3)x. This means that b = 4^(1/3), which is approximately 1.587. Since b > 1, this is not an exponential decay function.

Option B has f(x) = 13(7)^x. This means that b = 7, which is greater than 1. This is not an exponential decay function.

Option C has f(x) = (9/5)^x. This means that b = 9/5, which is also greater than 1. This is not an exponential decay function.

Option D has f(x) = (-3)(9)^(-x). This means that b = 9^(-1), which is equal to 1/9. Since b < 1, this is an exponential decay function.

Therefore, by exponential growth and decay the answer will be flx) = (-3)9

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Answer:

1. 144

2. 1

Step-by-step explanation:

Answer:

- The inequality translated in numerical form

Step-by-step explanation:

a) The value of y₂ is 1 for the direct proportionality case.

b) The value of y₂ is 5.76 for the inverse proportionality case.

Proportionality represents a family of relationships between two variables, which can be linear and nonlinear. Direct proportionality represents a linear relationship, whereas inverse proportionality represents a kind of nonlinear relationship.

Here are two mathematical representations of the relationships described above:

[tex]y \propto x[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{2}}{x_{1}}[/tex]   (1)

[tex]y \propto \frac{1}{x}[/tex]

[tex]\frac{y_{2}}{y_{1}} = \frac{x_{1}}{x_{2}}[/tex]   (2)

If we know that x₁ = 6, x₂ = 2.5, y₁ = 2.4, then the value of y₂ for each case are, respectively:

y₂ = 2.4 × (2.5/6)

y₂ = 1

y₂ = 2.4 × (6/2.5)

y₂ = 5.76

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Answer:

9.99m

Step-by-step explanation:

d≈9.99m

C Circumference

31.4m

Using the formulas

C=2πr

d=2r

Solving ford

d=C

π=31.4

π≈9.99493m

Answer:

4

Step-by-step explanation:

I got 4 when I answered on IXL for anyone who needs help on it!

Answer:

Table 1:

2 miles = 3520 yards

3 miles = 5280 yards

Table 2:

2 yards = 6 feet

3 yards = 9 feet

Table 3:

2 feet = 24 inches

3 feet = 36 inches

Table 4:

2 yards = 72 inches

Question 5: 4 yards, 130 inches, 10 feet

Question 6: The width of a penny

Step-by-step explanation:

Table 1: Multiply 1760 by 2 (3520), and 3 (5280).
Table 2: Multiply 3 by 2 (6), and 3 (9).
Table 3: Multiply 12 by 2 (24), and 3 (36).
Table 4: Multiply 36 by 2 (72).

Question 5: Convert all measurements to inches (the smallest value).
130 (given)
4 yards = 144 inches
10 feet = 120 inches

In greatest to least, we get 144, 130, 120.

Question 6: The length of a dollar is much wider than 1 inch, and so is a pencil. The width of a penny makes the most sense.

hope this helps!

Answer:

Area = 18

Step-by-step explanation:

Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.

Answer:

15.733in^2

Step-by-step explanation:

For this triangle it would be area=0.5 * b * h * sin(y)

(y) being the angle

(b) being base

(h) being height

Hope this helps and I am pretty sure this is right.

Answer:

is 24

Step-by-step explanation:

because is multiply for 22

Translating the new coordinate up by 2 units and 5 units to the left will given a final coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

This is a technique used to change the position or size of an object on the xy plane.

Given the coordinate points X(2, 4), Y(5,-3) and Z(-7, 1)'

If the coordinate points is rotated 90 degrees clockwise, then the resulting coordinate will be at X(4, -2), Y(-3,-5) and Z(1, 7)

If the resulting coordinate is dilated by by a scaling factor of 2, then the new coordinate points wil be at X''(8, 4), Y''(-6, -10) and (2, -14)

If the resulting coordinate is reflected over the x-axis, then the new coordinate points wil be at X'''(8, -4), Y''(-6, 10) and (2, 14)

Finally, translating the new coordinate up by 2 units and 5 units to the left will given a resulting coordinate at X''''(10, 1), Y''''(-4, 15) and Z''''(4, 19)

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Answer:

As Per Provided Information

We have been asked to determine the slant height of the cone .

Formula used to calculate the lateral area of a cone is

[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]

here

l denote slant height

r denote radius

Substituting the value we obtain

[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]

Therefore,