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?

Answers

Answer 1

Step-by-step explanation:

answers I the above photo

some of the questions are not clear

Learning ActivitiesSolve The Following Problems. Choosethe Letter Of The Correct Answer(Show Your Complete
Answer 2

Answer:

1. C(13inches)

2. A(40°)

3. B(126°)

4. C(50°)

5. 7cm

Step-by-step explanation:

According To the Question,

1. Given, The sum of all the sides of a STOP sign is 104 inches. A STOP sign is Octagon  with all sides equal.

Thus, Octagon has 8 equal side

So, Each Side Measure = 104/8 ⇔ 13inches

2. Given, In Triangle ABC, ∠A & ∠B each measure 70°

And, We Know Sum of all angles of a triangle is 180°.

Thus, ∠C = 180° - (∠A + ∠B)  ⇔  180°-140° ⇒ 40°

3. Given, The measures of the three angles of a quadrilateral are ∠A=49° ,∠B=58° & ∠C=127° .

And, We know sum of all angles of quadrilateral is 360°.

Thus, ∠D=360° - (∠A+∠B+∠C)  ⇔ 360°-234° ⇒ 126°

4. Given, The measure of all the Four angles of a quadrilateral are ∠A=(x+40)°, ∠B=130°, ∠C=x° & ∠D=(2x-10)° .

And, We know sum of all the angles of quadrilateral is 360°.

Thus, ∠A+∠B+∠C+∠D = 360°

Put all the Values, we get

x+40+130+x+2x-10 = 360

4x+160 = 360

4x = 200 ⇔ 200/4 ⇒ 50°

5. Given, the length of the two sides of an isosceles triangle are 3cm and 7cm .

Now, in order to form a triangle the sum of any two side of a triangle is always greater than the third side of a triangle.

So, We have an isosceles triangle in which two sides is always equal & we have given two sides of 3cm & 7cm .

Assume, if third side be 3cm (First Side+Third side > Second side)

3+3 ⇒6cm which is not greater than 7cm(thus, the Triangle not possible if we assume 3cm as triangle's third side)

Hence, The other Side of Triangle Surely be 7 cm.  


Related Questions

Please Help!!!! Please!!!!!!!!

Answers

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.

15 _ { 10 } + X _ { 2 } = 11011 _ { 2 }​

Answers

11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27

15 + x₂ = 27

x₂ = 12 = 8 + 4 = 2³ + 2² = 1100

please help :))))))))

Answers

Answer C explanation: Alternate interior angles are always congruent

A right triangle has side lengths d, e and f as shown below use the lengths to find sin x cos x and tan x
BRAINLIEST

Answers

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

I really need some help. Plz show your work, Thanks!

Answers

Answer:

Step-by-step explanation:

[tex]\text{Solve for x:}\\\\3x + 9 = 12\\\\\text{Thank you.}[/tex]

Answers

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]

A hall which is 8m long is represented on a diagram as 4 cm long. What is the scale of the diagram?

Answers

Answer:

1cm to 2m

Step-by-step explanation:

self explanatory i think

Drag the number of solutions to match the equation. Each tile may be used only once. 4(3x+2)=4(2x+3)+4x vacío 10(x+4)–3=14x+1 vacío 12(10x+15)–32=2x+6+3x

Answers

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.

- 2.7f+0.3f-12- 5 =
Plss help i need the answer right now plss.​

Answers

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

If QR = 8 and PR = 14, what is PQ? Write your answer as a decimal or integer.​

Answers

The answer is C
I just took the text

distributive law to simplify 15x13 + 15x17

Answers

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Price of a mobile phone including 10% GST is rs.16,600. Find the p[rice of mobile phone before gst was added

Answers

Answer:

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

Step-by-step explanation:

help pls help pls help

Answers

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

if the circumfrence of a circl is 18π inches, what is the radius of the circle

Answers

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

Does anyone know the answer ?!?


Answers

Answer:

40/100 = .4 = 40%

Step-by-step explanation:

the answer is 40% for this question

Pls help me with this equation

Answers

Answer:

x = 20 degree

Step-by-step explanation:

Hope this helps u !!

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

Answers

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.

What is Probability ?

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

#SPJ2

Find the area of the triangle. (A = 1/2*b*h)

Answers

the area is 9.8 :)) have a good day

b / -7 = 4

solve question correctly

Answers

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:

If both the signs of the two numbers are the same, it will be positive.If both the signs of the two numbers are different, it will be negative.

-7 is negative.

4 is positive.

Formula: N + P = N

-7 x 4 = -28

Final answer: -28

given the function k(x) = 3x -2, k(4) equals?

Answers

Answer:

10

Step-by-step explanation:

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

Need Help ASAP. Will give Brainliest.

Answers

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

In order for the data in the table to represent a linear function with a rate of change of –8, what must be the value of a?

Answers

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:

please help me out real quick.​

Answers

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:

[tex]\sqrt{x}^2=|x|[/tex] [tex](a+b)^2=a^2+2ab+c^2[/tex]

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].

Evaluate the expression when m=4 and n=31.
n-3m

Answers

Answer:

19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

m = 4

n = 31

n - 3m

Step 2: Evaluate

Substitute in variables:                                                                                     31 - 3(4)Multiply:                                                                                                             31 - 12Subtract:                                                                                                            19

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.  

Enter three letters (ASA, SAS, or SSS) to identify the criterion that shows the pair of
triangles to be congruent.

Answers

Answer: ASA

Step-by-step explanation:

PLS HELP ASAP!! THX
For questions 6-9 refer to the box plots (Assume their positions are on the same number line). Write your responses in complete sentences using content specific vocabulary.

Answers

Answer:

Did you find them ?

Step-by-step explanation:

The table above shows the value of Henry’s car for each o of the first 3 years after it is purchased. The values form a geometric sequence. What will be the approximate value of the car in the 10th year?
A $2,680
B. $5,240
C. $6,550
D. $2,150

Answers

Answer:

D.

Step-by-step explanation:

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

8f(x)=x

2

+6x+8f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 6, x, plus, 8

1) What are the zeros of the function?

Write the smaller xxx first, and the larger xxx second.

\text{smaller }x=smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals

\text{larger }x=larger x=start text, l, a, r, g, e, r, space, end text, x, equals

2) What is the vertex of the parabola?

Answers

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

What is the following quotient?
V6+ V11
√5 + √3

Answers

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

After researchers conditioned a dog to salivate to the sight of a triangle, they presented the triangle alone to the dog every three minutes. Over the course of several trials, the amount of saliva the dog secreted in response to the triangle decreased to zero. At that point, the researchers put the dog back in his cage for three hours. What happened the after the three hours the dog rested and went through the conditioning process again

Answers

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.

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