Given the right triangle shown, solve for X, Y and Z. The triangle may not be drawn to scale

Answer:

[tex]\sf y=\sqrt{21}[/tex]

Step-by-step explanation:

Altitude:  A line segment drawn from a vertex that is perpendicular to the side opposite that vertex.

Therefore, the altitude on the given diagram is y.

The two internal triangles formed by drawing the altitude are similar to the original triangle.  If two triangles are similar, their sides are proportional in length.

[tex]\implies \sf \dfrac{segment}{altitude}=\dfrac{altitude}{segment}[/tex]

[tex]\implies \sf \dfrac{3}{y}=\dfrac{y}{7}[/tex]

[tex]\implies \sf 3 \cdot 7=y \cdot y[/tex]

[tex]\implies \sf y^2=21[/tex]

[tex]\implies \sf y=\sqrt{21}[/tex]

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By the corresponding angles theorem,

Thus, triangles AFD, BGD, and CHD are similar by AA.

Given the figure, triangles AFD, BGD, CGD are similar by Angle-Angle-Angle (AAA) criterion for the similarity.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

In the given question,

∠F = ∠G = ∠H = 90°

Let ∠D = x°

In triangle CHD,

∠H = 90°

∠D = x°

∠C = 180 - 90 - x = (90-x)°

In triangle BGD,

∠G = 90°

∠D = x°

∠B = 180 - 90 - x = (90-x)°

In triangle AFD,

∠F = 90°

∠D = x°

∠A = 180 - 90 - x = (90-x)°

In triangle AFD and BGD and CHD,

∠A = ∠B  = ∠C

∠F = ∠G = ∠H

∠D = ∠D =∠D

triangle AFD and BGD and CHD are similar.

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Considering the stem-and-leaf plot, the range of the data-set is given as follows:

C. 45,79

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key format, the smallest value in this problem is 4|5 = 45, and the highest is 7|9 = 79, hence the range is given by:

C. 45,79

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[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What type of number is [tex]\bf{\sqrt 5}?[/tex] Select all that apply

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Let's start by taking a look at all the four sets of numbers.

The set is shown above. To be honest, this is an infinitely small part of the number set; the whole number set would take FOREVER to type ;)

Wow, this set starts at negative infinity and ends at positive infinity!

This set consists of all integers, decimals, and fractions.

That's where the desired number [tex]\bf{\sqrt{5}}[/tex] belongs!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=The\;fourth\;option}[/tex]

[tex]\LARGE\boxed{\bf{aesthetics \not1\theta l}}[/tex]

∞

Answer is underlined

BD: 16.8+50.4= 67.2 mm

LM: 4-2.6= 1.4 cm

Answer:

7%

Step-by-step explanation:

1500 is 100%. We divide 300, 450, and 665 shots by 1500  to get their percentages, 20%, 30%, and 43.333333333333333333333333333%, rounded to 43%. We subtract all the percentages from 100 and we get 7 percent left! (If this is wrong, I am only 10 so don't judge me)

Answer:

(2^3t•2^t)/16 isn't a not equivalent

The surface area of the complex figure is: 582 ft².

Surface area of the complex figure = surface area of the triangular prism +  surface area of the rectangular prism - 2(area of the face of the triangular prism that joins with the rectangular prism).

Surface area of the triangular prism = (s1 + s2 + s3)L + bh = (11 + 9 + 9)5 + (11)(7)

Area of the triangular prism = 222 ft²

Surface area of the rectangular prism = 2(wl+hl+hw) = 2·(5·15+8·15+8·5) = 470 ft².

2(area of the face of the triangular prism that joins with the rectangular prism) = 2(lw) = 2(11)(5) = 110 ft²

Surface area of the complex figure = 222 + 470 - 110

Surface area of the complex figure = 582 ft².

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The value of x = -3/2 .

An equation is a mathematical statement that relates unknown variable to constants to determine their value.

The equation given is

(2x+3 ) / 7 Divided by 1 = 0

2x +3 = 0

2x = -3

x = -3/2

Therefore the value of x = -3/2 .

The complete equation is

(2x+3)/7

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Answer:

2

Step-by-step explanation:

- 4m + 5 = 3m - 9

3m - 9 = 5 - 4m

3m + 4m = 5 + 9

7m = 14

m = 14 / 7

m = 2

Answer: Option (1)

Step-by-step explanation:

The line y = 2x is shaded above and is dotted, so it represents [tex]y > 2x[/tex].

This eliminates all the options except for option (1).

The graph of a system of inequalities is shown. The following system of inequations represents the graph:

y ≥ 2x;

x + 2y ≤ -8:

Inequality refers to a condition in which there's a lack of equivalency or aesthetics, frequently panning out in disparities or differences in chances, resources, treatment, or outcomes among individuals, groups, or associations. It encompasses various forms, including economic inequality, colonial inequality, and political inequality.

The blue region is on the left of the blue line of equation y = 2x so the region is represented by the line y ≥ 2x. The equality holds in this inequality as the region also includes the origin (0, 0).

The second option only has the inequality y ≥ 2x in its system of inequalities.

So, the correct answer is the second one. The system of inequation is

y ≥ 2x;

x + 2y ≤ -8:

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Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.

The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.

Filling in the chart would therefore be:

<1 and <2 are

supplementary                                               <1 = <3

GIVEN                                           Congruent Supplements Theorem

<2 and <3 are

supplementary

GIVEN

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The value of x in the right triangle is 4 units.

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x  /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

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Answer:

I would like to use lb if that's ok

Answer:

buy a new car because cars depreciates

The coefficients [tex]a_0,a_1,a_2,a_3[/tex] could be chosen to be the coefficients in the Maclaurin series of [tex]\sin(x)[/tex].

We have

[tex]y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0[/tex]

[tex]y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1[/tex]

[tex]y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2[/tex]

[tex]y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3[/tex]

It follows that [tex]a_0=0[/tex], [tex]a_1=1[/tex], [tex]a_2=0[/tex], and [tex]a_3 = -\frac16[/tex].

Step-by-step explanation:

Answer:

x= -3

Step-by-step explanation:

2x + y = -2 ---> y = -2 - 2x

instead: 5x-2y = -23 ---> 5x - 2(-2 -2x) = -23 ----> 5x+4+4x= -23 ---> 9x= -27

                   ---> x = -3

Answer:

D. 5

Step-by-step explanation:

2x - 6 + 1 + x - 4 = 18

3x - 9 = 18

3x = 27

x = 9

RS = x - 4 = 9 - 4 = 5

Answer: D. 5

Answer:

37.170

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

Since log (x+y) = 0        you should know  x+y = 1

                                            so y = (1-x)

then   2 logx = log (y+1)

          log x^2 = log (1-x   +1) = log (2-x)

                x^2 = 2-x

                 x^2 + x-2 = 0

                 (x+2)(x-1) = 0      so x = -2  or   +1

                                               then y = 3  or 0

-2,3    and   1,0       since you cannot have a log of a negative number

                                     the only answer is (1,0)  

Using the given exponential function, the age of the skull is 6,733 years old.

It is given by:

[tex]N(t) = N(0)e^{-kt}[/tex]

In which:

In this problem, the parameters are given as follows:

N(t) = 0.51N(0), k = 0.0001.

Hence we solve for t to find the age.

[tex]N(t) = N(0)e^{-kt}[/tex]

[tex]0.51N(0) = N(0)e^{-0.0001t}[/tex]

[tex]e^{-0.0001t} = 0.51[/tex]

[tex]\ln{e^{-0.0001t}} = \ln{0.51}[/tex]

[tex]-0.0001t = \ln{0.51}[/tex]

[tex]t = -\frac{\ln{0.51}}{0.0001}[/tex]

t = 6,733 years old.

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Answer:

Step-by-step explanation:

6 + 5X = 21
5X = 21-6 = 15

X = 15/5 = 3 miles per day on an average

Answer:

Monomial - one term
Binomial - two terms
Trinomial - three terms
Polynomial - any polynomial with more than three terms

Brainliest, please :)

Answer:

  (x, y) = (-2, 5/3)

Step-by-step explanation:

The system of equations is easily solved by substitution.

Using the given value of x, substitute for x in the first equation to find y.

  y = 2/3(-2) +3

  y = -4/3 +9/3 = 5/3

The solution is (x, y) = (-2, 5/3).

Answer:

edge 2023

Step-by-step explanation:

A D E (dudes above me right js making it easier)

The distance that Kelli can swim will be about 6.11 kilometers per hour.

Here is the complete question:

Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about km/hour.

To solve for x, you need to follow SADMEP. SADMEP is subtraction, addition, division, multiplication, exponents, and parentheses.

It follows the same rules as PEMDAS, but SADMEP is only used when solving algebraic equations.

x - 5 = 0.1(x + 5) (use the distributive property)

x - 5 = 0.1x + 0.5 (subtract 0.1x to both sides)

0.9x - 5 = 0.5 (add 5 to both sides)

0.9x = 5.5 (divide both sides by 0.9)

x = 6.11 km/hour.

Therefore, Kelli can swim about 6.11 kilometers per hour.

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Answer:

It's the first one for upstream and the other one for downstream

Step-by-step explanation:

Answer:

x y

3 2

4 1

5 0

6 1

7 2 (There is a line between the x and y that goes all the way down the numbers so they are seperated)

Step-by-step explanation

Answer:

esa respuesta está difícil pero si calculamos la creta de tu mamá con la semilla mía xrei que puede dar tu maldita madre

See below for the properties of the functions

The function f(x)

We have:

f(x) =  –7(x + 2)^3(x – 1)^2(x – 3)

From the graph, we have the following features:

The function m(x)

We have:

m(x) =  x^3 - 4x^2

Factor out x^2

m(x) = x^2(x - 4)

Factor out x

m(x) = x(x)(x - 4)

From the graph, we have the following features:

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Answer: Jane incorrectly evaluated (-2)² in step 2.

Step-by-step explanation:

[tex](-2)^{2}=4[/tex], not -4.