Answer:
[tex]\boxed {\sf Equation: 60 \textdegree +4x= 180 \textdegree} \\[/tex]
[tex]\boxed {\sf x=30}[/tex]
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees.
In this triangle, the angles are A, B , and C. So,
∠A + ∠B + ∠C= 180°∠A is 60 degrees, ∠B is 3x, and ∠C is x. We can substitute the values in.
60°+3x+x=180°This is the equation we can use to find the value of x.
We also have like terms: 3x and x that can be combined.
60° + (3x+x)= 180° 60° + 4x=180°We can use the equation to solve for x. We have to isolate the variable.
60 is being added to 4x. The inverse of addition is subtraction. Subtract 60 from both sides of the equation.
60°-60°+4x=180°-60°4x= 180°-60°4x=120°x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4= 120°/4x= 120°/4 x=30PLEASE PLEASE PLEASE HELP ITS DUE
An experiment consists of ranomly drawing three cards in succession without replacement from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the even of a king on the third draw. Describe each of the events listed below and calculate its probability.
a. A ∩ B
b. A U B
c. A ∩ B ∩ C
d. A U B U C
Answer:
0.0045248 ;
0.1312218 ;
0.0001809 ;
0.1659729
Step-by-step explanation:
Number of Kings in deck = 4
Total number of cards in deck = 52
Picking without replacement :
A = King on first draw :
P(A) = 4 / 52
A = King on 2nd draw :
P(B) = 3 / 51
A = King on 3rd draw :
P(C) = 2 / 50
1.) P(A n B) = P(A) * P(B)
P(A n B) = 4/52 * 3/51 = 12 / 2652 = 0.0045248
2.) P(A u B) = P(A) + P(B) - P(AnB)
P(AuB) = 4/52 + 3/51 - 0.0045248 = 0.1312218
3.) P(A ∩ B ∩ C) = P(A) * P(B) * P(C)
P(A ∩ B ∩ C) = 4/52 * 3/51 * 2/50 = 0.0001809
4.) P(A U B U C) =
P(A) + P(B) + P(C) - P(AnB) - P(AnC) - P(BnC) - P(AnBnC)
P(AnC) = P(A) * P(C) = 4/52 * 2/50 = 0.0030769
P(BnC) = P(B) * P(C) = 3/51 * 2/50 = 0.0023529
4/52 + 3/51 + 2/50 - 0.0045248 - 0.0030769 - 0.0023529 + 0.0001809 = 0.1659729
Find the length of x.
a. 33.8
b. 48.3
c. 84.3
d. 72.0
A teacher asked 21 pupils to estimate the height of a building in metres.
The stem-and-leaf diagram shows all 21 results.
6
represents 6.5m
6
5
9
7
0
2
6
8
8
8
3
3
5
7
7
9
9
0
5
5
5
10
8
11
2.
What was the median estimated height?
m
Answer:
I think it's 8.5m,I wish it is correct.
Step-by-step explanation:
:)I wish it helps.
Solve the formula
x − y = −8 for y.
Answer:
[tex]y = x + 8[/tex]
Step-by-step explanation:
[tex]x - y = - 8[/tex]
[tex]x + 8 = y[/tex]
PLS HELP ILL GIVE BRAINLIEST!
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Answer:
C = 55
O = 55
CRA = 64
ORT = 64
T = 61
Step-by-step explanation:
Please help for brainliest.
Answer:
C
Step-by-step explanation:
(1, 2) indicates that x=1 and y=2
A:
(2)-(1)=1
3(2)-4(1)≠10
B:
-2(2)+5(1)≠-1
C:3(2)+2(1)=84(2)-(1)=7D:
3(2)-(1)≠1
An isosceles right triangle has a hypotenuse that measures 32 inches. To the nearest inch,
what is the measure of each leg of the triangle?
Answer:
28 inch or 27.7 inch
other side is 16 inch
Step-by-step explanation:
We double the triangle and find each hypotenuse for two triangles to determine base as equilateral
32^2 = base
To find height we half base and multiply by slant = 32 inches
32/2 = 16 inch
Height = 32^2 - 16^2 = a^2 = sq rt 1024 - sqrt 256 = sq rt 768
a^2 = sq rt 768 = 27.7128129 = 28 inch or 27.7 inch
solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2
Step-by-step explanation:
√3sinA-cosA=√2
dividing both side by (√3²-1²=2 we get)
√3/2 sinA-1/2.cos A=√2/2
cos 30sinA-sin30cosA=√2/(√2×√2)
sinAcos30-cosAsin30=1/√2
sin(A-30)=sin45,sin(180-45)
therefore
A-30=45,135
A=45+30=75 or A=135+30=165
What are the 4 main types of transformations?
translation
congruence
rotation
reaction
reflection
dilation (aka enlargement)
vertices
Answer:
The 4 main transformation is a translation, rotation, reflection, dilation.
Step-by-step explanation:
There are four main types of transformations: translation, rotation, reflection, and dilation. These transformations fall into two categories: rigid transformations that do not change the shape or size of the preimage and non-rigid transformations that change the size but not the shape of the preimage.
What is the graph represents the equation y=1/3x+2
Step-by-step explanation:
step 1. you mean which graph represents the equation y = (1/3)x + 2?
step 2. please provide the graphs - they are missing.
step 3. the equation has a slope of 1/3 which means it goes up one and three to the right.
step 4. the y intercept is 2 so it goes through the point (0, 2).
I NEED HELP!!!... WHATS THE ANWSER FOR THIS??
What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?
Answer:
1.25
Step-by-step explanation:
a = 10 and r = 0.5
The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.
In this case n = 4, since we're looking for the fourth term.
so,
Un = ar^n-1
= ar^4-1
= ar^3
U4 = 10 × 0.5^3
= 10 × 0.125
= 1.25
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
(GIVING BRAINLIYEST)
7. what is the volume of these 2 objects
figure #1
smaller part
4x7x2= 56m
larger part
4x3x7= 84m
84+56= 140m³
figure #2
smaller part
2x4x3= 24m
larger part
4x4x12= 192m
192+24= 216in³
Find x. (More info in the picture)
Answer:
The answer is 3.
Step-by-step explanation:
The sum of 3 consecutive even interfere is 258. What is the smallest number
Answer:
85 is the smallest number
Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. What is a linear equation that can represent the cost of buying x amount of flowers and includes the one time delivery charge? ( Y = mx + b )
Answer:
y=2x+3
Step-by-step explanation:
the 2 is the coefficient so everytime you add a new flower the amount will go up by 2 dollars and the $3 delivery fee is a one time fee so you only add it one time.
2) Pedro foi ao banco, retirou um extrato de sua conta e notou que estava com um saldo negativo de R$ 356,00. Sabendo que serão debitados em sua conta dois cheques, sendo um de R$ 53,50 e outro de R$85,00, quanto Pedro precisa depositar para deixar a conta com um saldo positivo de R$ 30,00? *
Answer:
no entiendo ni madred
Step-by-step explanation:
Soy chino
If the second term of an arithmetic progression is - 4 and the fourth term is 4, find the eighth term.
Answer:
Step-by-step explanation:
a₄ = a₁ + (4-1)d
4 = -4 + 3d
d = 8/3
a₈ = a₄ + (8-4)d = 4 + 4(8/3) = 14⅔
help me like right now plzzzzzzzzzzz
Answer:The answer is 8
Step-by-step explanation:
Which equation represents : the difference between mZCOA and mAOB in this diagram?
43°
O
Select ALL that apply
180 43
137 13
18043
180 43
Previous
3x+2x-13=47 solve for x
please show all the steps
Your teacher gave you 5 of a bag of candy, but she only
gave your friend of a bag.
How much more of the bag did your teacher give you than
your friend?
What value of x will make the equation below true?
5x=3x+8
Answer:
x = 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
~Hoped this helped~
S. (4 - 2x)(4 + 2x)
Answer:
16-4x^2
Step-by-step explanation:
u start multiplying them by each other .
4×4= 16
4×2x= 8x
-2x×4= -8x
-2x×2x= -4x^2
now u combine like terms
8x+-8x = 0
16-4x^2
I hope u understood.... lol
How many grams are in 1 pound (on Earth)? Round to the nearest tenth.
Answer:
453.6, or 453.59237
Step-by-step explanation:
Answer:
28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6
Step-by-step explanation:
First you must convert ounces to grams
Then, you must convert the ounces to pounds
You do this by knowing that 1 oz is 1/16 of a lb
Knowing that 28.35 grams are in 1 oz
You then multiply the 28.35 grams by the 16 oz
Which gives you 453.6 0r 453.60 grams in 1 lb
What is (3m + 2) + (5x+8)=
Answer:
5x + 3m + 10
Step-by-step explanation:
Remove parentheses:
3m+2+5x+8
Group like terms:
5x + 3m + 2 + 8
Add the numbers 2 + 8=10:
5x + 3m+ 10
Answer:
3m+10+5x
Step-by-step explanation:
look at it without parenthesis might make it easier
3m+2+5x+8
Which of these could be the value of x in the triangle below
Answer:
5
Step-by-step explanation:
Calculate the volume of the cone: 10 yd 3 yd
round to nearest tenth
Step-by-step explanation:
=23.6
[tex]v = \pi {r}^{2} \frac{h}{3} = \pi {1.5}^{2} \frac{10}{3} = 23.56 \: {yd}^{3} [/tex]