5. In figure 2.9, line AB || line CD and line PQ is transversal. Measure of one of the angles is given Hence find the measures of the following angles (1) LART (ii) ZCTO (iii) ZDTO (iv) ZPRB​

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Explanation:

Since L and M are parallel lines, this means x+y = 180 due to the same side interior angles theorem. Some books refer to these angles as consecutive interior angles.

If x+y = 180, then y = 180-x.

Plug this into the equation your teacher gave you

x/y = 3/7

x/(180-x) = 3/7

7x = 3(180-x) ... cross multiply

7x = 540 - 3x

7x+3x = 540

10x = 540

x = 540/10

x = 54

Use this to find y

y = 180-x

y = 180-54

y = 126

Then notice how x/y = 54/126 = 3/7, which helps confirm we have the correct x and y values.

Divide both parts of the first fraction by 18 to fully reduce.

Now because angles y and z are alternate exterior angles, this must mean z = y = 126 degrees

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex](-3,4/375)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{6}(\frac{2}{5})^x[/tex]

Reflection: Across y-axis

Required

The ordered pair on g(x)

The rule of reflection across y-axis is:

[tex](x,y) = (-x,y)[/tex]

So, we have:

[tex]g(x) = f(-x)[/tex]

f(-x) is:

[tex]f(-x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

Recall that:

[tex]g(x) = f(-x)[/tex]

Hence:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

From the options (missing in the question), the ordered pair is:

[tex](-3,4/375)[/tex]

To check this, we have:

[tex]g(x) = \frac{1}{6}(\frac{2}{5})^{-x[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{--3[/tex]

[tex]g(-3) = \frac{1}{6}(\frac{2}{5})^{3[/tex]

Expand

[tex]g(-3) = \frac{1}{6}(\frac{8}{125})[/tex]

Simplify

[tex]g(-3) = \frac{1}{3}(\frac{4}{125})[/tex]

Open bracket

[tex]g(-3) = \frac{4}{375}[/tex]

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular meaning that they create 90 degree angles

If they create 90 degree angles then 7x + 13 = 90

( Note that we've just created an equation that we can use to solve for x )

We now solve for x algebraically using the equation we created

7x + 13 = 90

Step 1 Subtract 13 from both sides

7x = 77

Divide both sides by 7

x = 11

Answer:

(–1, –1), (0, 0), (1, 1), (2, 8)   (y = x^2)

(–1, 1), (0, 0), (1, 1), (2, 4)   (y = x^3)

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Answer:

C= 65° and m D = 35°

this cannot be true

Step-by-step explanation:

a complementary angle adds up to 90°

65°+35°=100

90° =/= 100°

Answer:

angles 3&7

Step-by-step explanation:

Answer:

Hello,

Answer A

Step-by-step explanation:

Since there are 4 inputs and 3 are known

we shell try a function like y=ax²+bx+c

So we have to resolve the system

[tex]\left \{\begin{array}{cccc}9a+3b+c&=&16\\25a+5b+c&=&22\\289a+17b+c&=&58\\\end{array}\right.\\\\\\\left \{\begin{array}{cccc}a&=&0\\b&=&3\\c&=&7\\\end{array}\right.\\\\[/tex]

We have to try:

0*x²+3*x+7=31

3x=24

x=8

Answer:

woa

i  n

Step-by-step explanation:

Answer:

x = 25.2

Step-by-step explanation:

[tex]\frac{5}{18} =\frac{7}{x}[/tex]

5x = 126

x = 25.2

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

Answer:

b

Step-by-step explanation:

Answer:

24 is the answer because 18/3=6 6x4 is 24

by using Pythagoras theorem c2= a2 + b2

so let's say c= 17 and a= 7, let's calculate for b

(17)^2 = (7)^2 + b2

289= 49+b2

289 - 49 = b2

240 =b2

√249 = b

b = 15 . 49

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

Answer:

6^5

Step-by-step explanation:

We know that a^b /a^c = a^(b-c)

6^20 / 6^15

6^(20-15)

6^5

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

Hello,

Here are the solution in excel files

par la méthode de Gauss

Answer:

4x^3+4x^2

Step-by-step explanation:

f(x) = 4x^2

g(x) = x+1

(f•g)(x) = (4x^2) *(x+1) = 4x^3+4x^2

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

Answer:

(1/2×6×8)+(π×4^2/2)

=49.12 ft^2

☆○☆○☆○☆○☆○

Hope it helps..

Have a great day!!!

Wait sorry ignore this I'm still getting used to brainly and I did the question wrong sorry

Answer:

sin x

Step-by-step explanation:

sin ^2  x + sin x + cos ^ x -1

sin ^2  x + cos ^ x   + sin x-1

We know that sin^2 x + cos ^2 x = 1

1 + sin x -1

sin x

Hi!

[tex]\sin^2x+\sin x+\cos^2 x-1=\\\\=\underline{\sin^2x+\cos^2x}+\sin x-1=\\\\=1+\sin x-1=\boxed{\sin x}[/tex]

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

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