Learning Activities
Solve the following problems. Choose
the letter of the correct answer
(Show your complete solutions)
1.) The sum of all the sides of a STOP sign is 104 inches. A STOP sign is an
with all sides equal. How many inches does each side measure?
B. 11 in
C. 13 in
D. 16 in
2.) In A ABC, LA and Beach measure 70% How many degrees are there in 202
A. 400
B. 50°
C. 60
D700
3.) The measures of the three angles of a quadrilateral are 49. 58, and 127. What
is the measure of the fourth angle?
A. 116
B. 126
C. 54
D. 64
A. 8 in
4.) Solve for the value of x in DEFG.
E
D
(x + 40)
130
A 400
B. 70°
C. 500
D. 90°
F
(2x-10)
G
5.) if the length of the two sides of an isosceles triangle are 3 cm and 7 cm, then
what must be the length of the third side?

Answer:

16,600 = 110%, you can do this in your head minus 1,660 GST (whatever that is) 14,940

Step-by-step explanation:

Step-by-step explanation:

The given equation is :

4(3x+2)=4(2x+3)+4x

Solving LHS, = 12x+8

Solving RHS, = 8x+12+4x

So,

12x+8 = 8x+12+4x

12x + 8 = 12x +12

12x cancel out from both sides, the given equation becomes not defined.

Answer:

-6

Step-by-step explanation:

The y-intercept is where the line crosses the y-axis which in this case is -6

Hope this helps

Answer: ASA

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I found it easiest to draw arcs of radii AB and AC centered at A, and arcs of radii DB and DC centered at D. The intersection points of those arcs mark the points B' and C'. These are points B and C reflected across line AD.

Joining A, B', C', and D will make a figure symmetrical about AD.

11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27

15 + x₂ = 27

x₂ = 12 = 8 + 4 = 2³ + 2² = 1100₂

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

Answer:

[tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex]

Step-by-step explanation:

Key formulas used:

Given [tex]\sqrt{3x+4}=1+\sqrt{3x-11}[/tex],

We can use the first formula on the left side of the equation.

In this case, for [tex]\sqrt{x}^2=|x|[/tex], [tex]x=3x+4[/tex], we have:

[tex]\sqrt{3x+4}^2=|3x+4|[/tex]

Similarly, we can use the second formula on the right side of the equation.

In this case, for [tex](a+b)^2=a^2+2ab+c^2[/tex], [tex]a=1, b=\sqrt{3x-11}[/tex], we have:

[tex](1+\sqrt{3x-11})^2=1^2+2\cdot 1\cdot \sqrt{3x-11}+\sqrt{3x-11}^2,\\=1+2\sqrt{3x-11}+3x-11,\\=3x+2\sqrt{3x-11}-10[/tex]

Therefore, when you square both sides of the equation, you get:

[tex]\boxed{\text{B. }3x+4=3x+2\sqrt{3x-11}-10}[/tex]

*Important:

This answer choice is actually only correct if [tex]3x+4>0[/tex], because of the first formula we used. If [tex]3x+4<0[/tex] (negative), then [tex]3x+4\neq \sqrt{3x+4}^2,\text{ if }3x-4<0[/tex]. Graphically, you can show this since the line [tex]y=\sqrt{x}^2[/tex] is not equal to [tex]y=x[/tex] but instead [tex]y=|x|[/tex]. [tex]y=\sqrt{x^2}[/tex] and [tex]y=x[/tex] only overlap if you restrict the domain to [tex][0, \infty)[/tex] (positive numbers), hence [tex]\text{B. }3x+4=3x+2\sqrt{3x-11}-10[/tex] only for [tex]3x+4\in [0, \infty)[/tex].

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\3x+9=12\\--------\\\rightarrow 3x + 9 -9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

x = 1

Step-by-step explanation:

(x + a = b

 x = b - a)

    or

(x + a = b

x + a - a = b - a     [subtract both sides by a ]

 x + 0 = b - a                [ - a + a = 0 ]

  x = b - a )

[tex]3x + 9 = 12\\3x + 9 - 9 = 12 - 9\\3x + 0 = 3\\3x = 3\\\\\frac{3x}{3} = \frac{3}{3}\\\\x = 1[/tex]

Answer:

D.

Step-by-step explanation:

You need to use a graphing calculator to figure it out.

Answer:

18.6

Step-by-step explanation:

We know a side and a angle opposite of that side

(AC and Angle B respectively).

We know another side(AB). and are trying to find a angle opposite of it.

Let use Law of Sines rules.

[tex] \frac{ac}{ \sin(angle \: b)} = \frac{ab}{ \sin(angle \: c)} [/tex]

Substitute the values in.

[tex] \frac{22}{ \sin(90) } = \frac{7}{ \sin(x) } [/tex]

Solve for sin x by taking the reciprocal of both sides.

[tex] \frac{ \sin(90) }{22} = \frac{ \sin(x) }{7} [/tex]

Remeber sin 90 =1 and multiply 7 by both sides.

[tex] \frac{1}{22} \times 7 = \sin(x) [/tex]

Take the inverse of sin to find the angle measure.

[tex] \sin {}^{ - 1} (x) = \frac{7}{22} [/tex]

The answer is

18.6

Given:

Consider the below figure attached with this question.

The rate of change of the linear function is -8.

To find:

The value of a.

Solution:

If a linear function passes through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the rate of change of the linear function is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given table, it is clear that the linear function passes through the points (10,27) and (11,a). So, the slope of the linear function is:

[tex]m=\dfrac{a-27}{11-10}[/tex]

[tex]m=\dfrac{a-27}{1}[/tex]

[tex]m=a-27[/tex]

The rate of change of the linear function is -8.

[tex]-8=a-27[/tex]

[tex]-8+27=a[/tex]

[tex]19=a[/tex]

Therefore, the value of a is 19.

Answer:

it is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

sin is d/f

cos is e/f

tan is d/e

Step-by-step explanation:

sin is opposite over hypotenuse

cos is adjacent over hypotenuse

tan is opposite over adjacent

Some old hippie, caught another hippie, tripping on acid

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Answer:

10

Step-by-step explanation:

3(4) -2 = 12 - 2 = 10

Answer:

Did you find them ?

Step-by-step explanation:

Answer:

b/-7=4

b=4*-7

b= - 28

Step-by-step explanation:

If this helps you mark as brainlist.!

Answer: -28

Variable/unknown - B

Numbers we know: -7 and 4.

How to solve: Use inverse division. The inverse of division is multiplication.

7 has a negative sign. However, 4 is positive.

N + P = N

P + N = N

Rules of integers:

-7 is negative.

4 is positive.

Formula: N + P = N

-7 x 4 = -28

Final answer: -28

Answer:

2.4f-17

Add similar elemets : 2.7f + 0.3f =2.4f

Subtract the numbers:-12 - 5= -17

Answer:

- 2.4f - 17

Step-by-step explanation:

Given

- 2.7f + 0.3f - 12 - 5 ← collect like terms

= - 2.4f - 17

Answer:

40/100 = .4 = 40%

Step-by-step explanation:

Answer: Spontaneous recovery likely occurred, and the dog salivated in response to the triangle

Step-by-step explanation:

Spontaneous recovery is the reappearance of the conditioned response when a rest period has taken place or when there's a period of lessened response.

In this case, since the researchers put the dog back in his cage for three hours after which the dog went through the conditioning process again after the three hours, then there'll be a spontaneous recovery.

Answer:

1cm to 2m

Step-by-step explanation:

self explanatory i think

Answer:

-2 and -4

Step-by-step explanation:

Given the function f(x) = x² + 6x + 8

If f(x) = 0

x² + 6x + 8 = 0

Factorize

x² + 4x + 2x+ 8 = 0

x(x+4)+2(x+4) = 0

(x+2)(x+4) = 0

x+2 = 0 and x+4 = 0

x = -2 and -4

Hence the zero of the function is -2 and -4

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

m = 4

n = 31

n - 3m

Step 2: Evaluate

Hi there!  

»»————-　★　————-««

I believe your answer is:  

19

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\n-3m;\text{ } m= 4, n = 31\\---------\\\rightarrow 31-3(4)\\\\\rightarrow 31 - 12\\\\\rightarrow \boxed{19}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

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

Answer:

x = 20 degree

Step-by-step explanation:

Hope this helps u !!

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation:    6  22  22  18

  (√6 + √11)  / (√5 +√3)      multiple top and by  (√5 - √3)   note the minus

  (√6 + √11) × (√5 - √3)  / (√5 +√3) x (√5 - √3)

  (√30 + √55 - √18 - √33)  / (5 - 3)

 (√30 + √55 - 3√2 - √33) / 2

Answer:

Here are five number cards.

19

13

10

14

22

Two of the five cards are picked at random.

Work out the probability that the total of the two numbers is more than 32

+

Total marks: 3

The probability that the total of the two numbers is more than 32 is 2/5.

Probability is the study of likeliness of an event to happen.

The number cards given are 19 , 13 , 10 , 14 , 22

The Probability when two number cards are drawn then th sum is moire than 32 is ?

Probability = Favourable Outcomes / Total Outcomes

Total outcomes when total cards is 5 and no. of cards drawn is 2  

= [tex]\rm ^5C_2[/tex]

= ( 5 * 4 * 3 * 2 * 1)/(( 3 * 2 )(2.1))

= 10 outcomes

Favourable Outcomes

= ( 19 , 14) (19,22) (13,22)(14,22)

= 4

Probability = 4/10 = 2/5

Therefore the probability that the total of the two numbers is more than 32 is 2/5.

To know more about Probability

https://brainly.com/question/11234923

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