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
Step-by-step explanation:
answers I the above photo
some of the questions are not clear
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
Find the area of the triangle. (A = 1/2*b*h)
Answers
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
distributive law to simplify 15x13 + 15x17
Answers
Answer:
420 is the answer
hope it helps
Step-by-step explanation:
plz mark me brainleast
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.
[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]
Does anyone know the answer ?!?
Answers
Answer:
40/100 = .4 = 40%
Step-by-step explanation:
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.
given the function k(x) = 3x -2, k(4) equals?
Answers
Answer:
10
Step-by-step explanation:
3(4) -2 = 12 - 2 = 10
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.
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
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
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
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 RightStep-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: 19Hi 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.
15 _ { 10 } + X _ { 2 } = 11011 _ { 2 }
Answers
11011₂ = 2⁴ + 2³ + 2¹ + 2⁰ = 27
15 + x₂ = 27
x₂ = 12 = 8 + 4 = 2³ + 2² = 1100₂
- 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
I just took the text
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
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:
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
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
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.
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:
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 :))))))))
Answers
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
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:
I really need some help. Plz show your work, Thanks!
Answers
Answer:
Step-by-step explanation:
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
Pls help me with this equation
Answers
Answer:
x = 20 degree
Step-by-step explanation:
Hope this helps u !!
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].