Answer:
x = 10Step-by-step explanation:
Given,
l || m
Therefore,
142° + (3x+8)° = 180° [Since Co-exterior angles]
=> 3x + 8 = 180 - 142
=> 3x + 8 = 38
=> 3x = 38 - 8
=> 3x = 30
[tex] = > x = \frac{30}{3} [/tex]
=> x = 10 (Ans)
Simplify 3x+(4x-3)
Pls :)
Answer:
7x - 3
Step-by-step explanation:
3x+(4x-3)
Remove parenthesis
3x + 4x - 3
Combine like terms
3x + 4x = 7x
7x - 3
Answer:
7x-3
Step-by-step explanation:
Removing the parantheses, we get 3x+4x-3. Adding like terms we get 7x-3.
7x-3.
Please help. I need it
Answer:
angle c = 32.204°
5.
MULTIPLE CHOICE: There are 15 pieces of fruit in a bowl and 6 of them are apples.
What percentage of the pieces of fruit in the bowl are apples?
a.
0.06%
b.
0.4%
C.
6%
d.
40%
Answer:
d
Step-by-step explanation:
alr, 15 fruits total, 6 are apples.
6/15 = 2/5
2/5 is also the same as 40% or 0.4, therefore the option is d.
go to gauthmath's sub reddit if needing more help ^^
8u^2- 42u^2
Help plzz
Answer:
- 34u^2
Step-by-step explanation:
8u^2 - 42u^2
= ( 8 - 42 )u^2
= - 34u^2
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{The only thing we can do to solve for this equation is to COMBINE}\\\large\textsf{the LIKE TERMS. }[/tex]
[tex]\mathsf{8u^2 - 42u^2}\\\mathsf{= (8u^2- 42u^2)}\\\mathsf{= 8 - 42 \rightarrow \bf -34}\\\textsf{Thus this means }\mathsf{8u^2 - 42u^2}\textsf{ has to equal to }\mathsf{ \bf -34u^2}\\\\\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf-34u} \mathsf{\bf ^2}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\frak{Amphitrite1040:)}[/tex]
Do not round your answer. Type in the number with the decimal. 15% of 25 is
Answer:
to add on to what the other dude said its 4
Step-by-step explanation:
Four points, E, F, G, and H lie on the coordinate plane. Of the choices given, which two points have the longest
distance between them?
A. e and f
B. f and g
C. g and h
D. h and e
Answer:
D H and E i think .........
Is the data set "color of the coal taken from a rail car" quantitive or qualitative? If it is quantitative is it descents or continuous?
A quantitative , discrete
B quantitative continuous
C qualitative
D neither
Answer:
It's A.)
Step-by-step explanation:
97 percent of 245m what is the answer
Answer:
multiply them
Step-by-step explanation:
trust me on this one i love using that hack
Which expression is equivalent to (a^-8b)
(a^-5b^3)
Assume a≠0,b≠0.
Answer:
Step-by-step explanation:
I think it is C
add 5 with product of 4 and 6=
Answer:
29
Step-by-step explanation:
Product of 4 and 6, (4x6) = 24
Now,
By adding 5 to 24, we get
(24+5) = 29
Given that PQ/ST = QR/TU= RS/US, select the postulate or theorem that you can use to conclude that the triangles are similar.
Answer: SSS Similarity Theorem (Choice A)
This is because we have three pairs of corresponding sides that form the same ratio, as shown by the given equation PQ/ST = QR/TU = RS/US.
That equation is basically the shorthand version of PQ/ST = QR/TU and QR/TU = RS/US combined together as one.
write a formula that describes the value of an initial investment of $100 that loses value at a rate of 8% per year compounded continuously
Answer:
[tex]A = 100(.92)^{t}[/tex]
Step-by-step explanation:
please help I beg you you will get marked branliest asap
Answer:
its D I think........ not 100% sure
There are three square gardens whose lengths of the sides are 3 ft, 7ft, and 2 ft respectively. Find the total area of the three gardens in square feet
Answer:
62 sq ft
Step-by-step explanation:
3 · 3 = 9
The first garden's area is 9 square feet.
7 · 7 = 49
The second garden's area is 49 square feet.
2 · 2 = 4
The third garden's area is 4 square feet.
We add 9 + 49 + 4.
9 + 49 + 4 = 62
The total area of the three gardens is 62 square feet.
1. A triangular piece of wood has side lengths 14 cm, 19 cm and 30 cm. The angle between the 14 cm and 19 cm sides need to be known to see if it will fit properly into a cabinet. What is the angle, accurate to one decimal place, between the 14 cm and 19 cm sides?
Answer:
130.1°
Step-by-step explanation:
Using the cosine rule:
[tex] = { \cos }^{ - 1} ( \frac{ {14}^{2} + {19}^{2} - {30}^{2} }{2 \times 14 \times 19} )[/tex]
= 130.146°
The measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.
What is the Cosine Rule?The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.
c² = a² + b² − 2ab cos(C)
The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.
Given data as :
Length of side a = 14 cm
Length of side b = 19 cm
Length of side c = 20 cm
The angle of C is the between the side a and side b
According to the cosine rule,
c² = a² + b² − 2ab cos(C)
Substitute the values of a, b and c in the Cosine Rule,
20² = 14² + 19² - 2(14)(19)cos(C)
400 = 196 + 361 - 532cos(C)
400 = 557 - 532cos(C)
532cos(C) = 557 - 400
532cos(C) = 157
cos(C) = 157/532
cos(C) = 0.2951
(C) = cos⁻¹(0.2951)
(C) = 72.83
(C) = 72.8° (accurate to one decimal place)
Hence, the measure of angle is 72.8° (accurate to one decimal place ) between the 14 cm and 19 cm sides.
Learn more about Cosine Rule here:
https://brainly.com/question/20839703
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Which of the following is true about a circle? A The diameter is the same as the radius B The diameter is the same length as the circumfrence C The dimeter is half the legth of the radius D The diameter is twice the size of the radius
Answer:
d
Step-by-step explanation:
answer is d It can't be anything else
Answer:
D the diameter is twice the size of the radius
Step-by-step explanation:
plz help me with this
Answer:
x=100
Step-by-step explanation:
100 and x are vertical angles and vertical angles are equal
x = 100
Answer:
100 degrees
Step-by-step explanation:
Angle x is formed from two intersecting segments. Opposite angles of intersecting lines or segments are congruent therefore since the opposite angle is given at 100 degrees, x must also be 100.
A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.
Answer:
upper level chairs = 2,502 chairs
Lower level chairs = 7,456 chairs
Middle level chairs = 5044 chairs
Step-by-step explanation:
A baseball stadium holds 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. The upper level has( ) seats.
Total chairs in the stadium = 15,002
Let
upper level chairs = x
Lower level chairs = 3x - 50
Middle level chairs = 2x + 40
Total = lower level + middle level + upper level
15,002 = (3x - 50) + (2x + 40) + x
15,002 = 3x - 50 + 2x + 40 + x
15,002 = 6x - 10
15,002 + 10 = 6x
15,012 = 6x
x = 15,012 / 6
x = 2,502
upper level chairs = x = 2,502 chairs
Lower level chairs = 3x - 50
3(2,502) - 50
= 7506 - 50
= 7,456 chairs
Middle level chairs = 2x + 40
= 2(2502) + 40
= 5004 + 40
= 5044 chairs
what is the multiple of 13
Answer:
1 and 13 itself
hope this help you
Logan was going to go to
Disneyland in America so he got
$450 from the bank. Then he
changed my travel plans, to go to
Eurodisney in Paris. How many
Euros will he have to spend?
Exchange Rate
GBP to Dollars £1: $1.50
GBP to Euros £1: €1.38
is (the fraction in the photo) rational or irrational?
Answer:
Irrational
Step-by-step explanation:
The square root of 2 is an irrational number as it is: ≈ 1.41. When you divide the square root of 2 by 3, it's still irrational: 0.47140452...
Solve for t.
( 124 + 6 x 8 ) ÷ 2 = t
( 124 + 6 x 8 ) ÷ 2 = t
=> ( 124 + 48 ) ÷ 2 = t
=> 172 ÷ 2 = t
=> 86 = t
Hi there!
[tex]\large\boxed{t = 86}[/tex]
To solve, we must use PEMDAS:
P: Parenthesis
E: Exponents
M: Multiply
D: Divide
A: Add
S: Subtract
Evaluate the inside of the parenthesis:
(124 + 6 × 8)
Multiply first:
(124 + 48)
Evaluate:
124 + 48 = 172
Divide by 2:
172 ÷ 2 = 86 = t
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Large
Medium
Hot
un
48
22
Cold
8
12
5
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Answer:
people who ordered a cold drink=
[tex]8+12+5=25[/tex]
people who ordered a large cold drink= 5
[tex]probability= \frac{5}{25}[/tex] [tex]=\frac{1}{5}[/tex]
[tex]=\frac{1}{5} \times100=20~\%[/tex]
[tex]Answer: 20\%[/tex]
-----------------------
Hope it helps...
Have a great day!!
The probability that the customer ordered a large given that he or she ordered a cold drink is 5%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given the order of the first 100 customers in a coffee shop.
Number of customers who ordered a large which is also a cold drink = 5
Total number of customers = 100
Probability = Number of desired outcomes / Total number of outcomes
Substituting,
Probability = 5 / 100 = 0.05 = 5%
Hence the required percent is 5%.
Learn more about Probability here :
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50 people were called in a wedding and 60 people came, then how many percent of the people came
Answer:
120%
Step-by-step explanation:
From the question, 50 people were called and 60 people came
what this mean is that 10 extra people came
Initially, the 50 out of the 60 represented the first 100%
Now, for the 10, what we have to do is to find the percentage of 50 that is 10
We have this as;
10/50 * 100 = 20%
Now, we add this to the initial 100%
So we have 100 + 20 = 120%
Write the equation of the line perpendicular to y=1/2x+3 that contains (5,-4)
Answer:
y = -2x + 6
Step-by-step explanation:
y = -2x + b
-4 = -2(5) + b
-4 = -10 + b
6 = b
X and Y are in partnership with capital contributions of $50000 and $30000 respectively. The partnership agreement provides that profits are to be shared in proportion to capital contributions and each partner is entitled to 10% interest on capital. Profit for the year was $37000. What was the total amount credited to Y's current account at the end of the year? A $10875 B $13875 C $18125 D $23125
Answer: $13875
Step-by-step explanation:
The interest in capital for X will be:
= 10% × $50000
= $5000
The interest in capital for Y will be:
= 10% × $30000
= $3000
The total amount credited to Y's current account will be:
= 3000/(3000 + 5000) × $37000
= 3/8 × $37000
= $13875
The total amount credited to Y's current account at the end of the year will be $13875
Can someone help me I don't understand
Step-by-step explanation:
Hey there!
From the above right angled triangle ABC;
Taking Angle ABC as reference angle;
Angle ABC = ???
Perpendicular (p) = AC = 15
Base (b) = AB = 47
Now;
Taking ratio of sin;
[tex] \tan( \alpha ) = \frac{p}{b} [/tex]
Keep value;
[tex] \tan( \alpha ) = \frac{15}{47} [/tex]
Simplify it;
[tex] \tan( \alpha ) = 0.3191489[/tex]
Take tan to next side;
Angle ABC (alpha) = tan'(0.3191489)
Therefore, the measure of angle ABC is 17.70°.
Hope it helps!
a box has a length of 6x inches. the width equals one third the length, and the height equals half the length. if the volume equals 972 cubic inches, what does x equal?
a box has a length of 6x inches
l=6xthe width equals one third the length
w=[tex]\sf{\dfrac{1}{3}×6x }[/tex] w=2xthe height equals half the length.
h=[tex]\sf{\dfrac{1}{2}×6x }[/tex] h=3xwe know that,Volume of a rectangle box=l×w×h
According to the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=972 36x^3=972 cubic unitx=972/36x=27Therefore:-The value of x is 27
a box has a length of 6x inches
so,
l=6xBut,the width equals one third the length
[tex]w=\dfrac{1}{3}×6x \\\\w=2x [/tex]
again,the height equals half the length.
[tex]h=\dfrac{1}{2}×6x \\\\h=3x[/tex]
we knows:-
Volume of a rectangle box=l×b×h
From the question,if the volume equals 972 cubic inches,
l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27.Final solution:
.°.The value of x is 27.
The following two-way table describes student's
after school activities. Find the probability that a
randomly selected student is in music/drama:
Grado
Sports
Music/Drama
Work
Sophomore
20
7
3
Junior
20
13
2
Senior
25
5
5
P(Music/Drama) = [?]
Round to the nearest hundredth.
Please HELP MEEE!!!!!!
Answer:
1/4
Step-by-step explanation:
Firstly, we need to get the total number of students on the table
We have this as;
20 + 20 + 25 + 7 + 13 + 5 + 3 + 2 + 5 = 100
Now, we sum up the values we have in the music/Drama column
We have this as;
7 + 13 + 5 = 25
so the probability of selecting a student in the music/drama group is the number of music/drama students divided by the total number
That would be
25/100 = 1/4
Write the next thee numbers in each number pattern. Describe the pattern.
a) 2, 4, 3, 6, 5, 10, 9, 16, …
b) 7, 5, 8, 6, 9, 7, 10, …
Answer:
a) 2, 4, 3, 6, 5, 10, 9, 16, ...
Step-by-step explanation:
