Step-by-step explanation:
given,
MP = x - 8
PN = 3x - 9
MN = 21
we know,
according to segment addition postulate AB + BC = AC
now,
MP + PN = MN
→ x - 8 + 3x - 9 = 21
→ 4x - 17 = 21
→ 4x = 21 + 17
→ 4x = 38
→ x = 38/4 = 9
→ x = 9
therefore, value of x is 9.
hope this answer helps you dear! take care
-8, -11, -14, -17, -20, ...
Find the 30th term of this Arithmetic Sequence.
Answer:
-95
Step-by-step explanation:
formula in finding this is -3
Arithmetic Sequnce:
-8, -11, -14 ,-17,-20,-23,-26,-29,-32,-35,-38,-41,-44,-47,-50,-53,-56,-59,-62,-65,-68,-71,-74,-77,-80,-83,-86,-89,-92,-95.
Carry on learning
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant to the previous term.
clearly, we see here, this constant is -3.
and we start with -8.
a1 = -8
a2 = a1 - 3 = -8 - 3 = -11
a3 = a2 - 3 = a1 - 2×3 = -8 - 6 = -14
so, it becomes clear that
an = an-1 - 3 = a1 - (n-1)×3 = -8 - (n-1)×3
so,
a30 = -8 - 29×3 = -95
Solve the equations. 81^x^2=27^x
Answer: 81ײ=27× x = 6
18. Which is more, five-eighths of a dollar or four-ninths of a dollar?
I need hellllllllpppppppppp
Answer:
five-eighths of a dollar is more than four-ninths of a dollar
Step-by-step explanation:
If you convert the fractions into decimals:
5/8 = 0.625
4/9 = 0.44444444444...
0.625 is closer to 1 than 0.44444444444...
Hope that helped!
An experiment consists of drawing 1 card from a standard​ 52-card deck. What is the probability of drawing a club​?
Answer:
25%
Step-by-step explanation:
25%
there are 4 suits, and only 1 is of clubs
1/4 = 25%
5 - 6 - 9 - 8 - 5 - 4 + 5 - 5 -5 -5 - 32 = ?
5 - 6 = -1
-1 - 9 = -10
-10 - 8 = -18
-18 - 5 = -23
-23 - 4 = -27
-27 + 5 = -22
-22 - 5 = -27
-27 -5 = -32
-32 -5 = -37
-37 - 32 = -69
Answer = -69
help pls ! i need to do this and i cannot figure this out
Help!! (Question in picture)
Answer:
A, B, C are perfect squares. Their roots are 22, 66, 89.
D is not a perfect square. The root is about 94.995
Step-by-step explanation:
Your calculator can help. The integer is a perfect square if its square root is an integer.
A. √484 = 22 . . . . 484 is a perfect square
B. √4356 = 66 . . . . 4356 is a perfect square
C. √7921 = 89 . . . . 7921 is a perfect square
D. √9024 ≈ 94.9947... . . . . not a perfect square
__
Additional comment
When you compute the square root using the "long division" method, the first step is to divide the radicand into groups of 2 digits. The most significant digit of the root will be the root of the largest square less than the leftmost group.
For example, the first step in finding the root of 4356 is to divide it into the groups 43'56'. The most significant digit of the root will be 6, because 36 = 6² is the largest square less than or equal to 43.
If the number is a perfect square, the least-significant digit of the radicand will be the least-significant digit of the square of the least-significant digit of the root. Here, the least digit of 43'56' is 6, which can only be the least-significant digit of 4² = 16 or 6² = 36. No other single digits have a square ending in 6.
So, if the number 4356 is a perfect square, it must be the square of 64 or 66. It is the square of 66. (If you're familiar with powers of 2, you know 64²=4096.)
what is 3 x 7 = x 3 ?
Answer:
7
Step-by-step explanation:
21=3x
x=7
Answer:
x = 7
Step-by-step explanation:
3 x 7 = x 3
21 = 3x
x = 21/3 = 7
fill in the blank to make the fractions equivalent.
4/5 ?/15
Answer:
12/15
Step-by-step explanation:
times 4 by 3 because 5 is timesed by 3
can someone help please :)
The number of ways to choose three different pizza toppings from a group of six is called a ?
Answer:
Uh, 16.
Step-by-step explanation:
We need to choose three different toppings. So here we need to find the number of ways in which we can choose three different toppings out off. 16. So a number of ways are takes three at a time, from a total of 16. That is civilians combination. Here are formula for combination is 16 factorial over three factorial into 16 minus three. Factorial this candidate and a 16 factorial over three factorial into 16 minus trees. 13. Authority in factorial, now 16. Factory converted on a 16 in 2 15 into 14 into 13. Factorial over three factorial into 30. In fact, a real as we can see that 13 factorial is common toward denominator and numerator so we can get through this. Now I remaining times are 16 into 15 into 14. Over three in Toto into one has three factories, three in tow, one So calculating this ticket. Find 60 Soviet 56 TVs to select three different topics. Talked to select three different toppings out off 16 on a bizarre
ticket sales for a local concert totaled $101,244 yesterday. After the ticket window closed today, the cashiers counted 968 tickets sold with a two-day total of $143,836. What is the cost of one concert ticket?
The cost of one concert ticket is approximately $148.59.
The tickets sales for the local sales is totalled $101, 244 yesterday.
ticket sales yesterday = $101244
He sold 968 tickets with a two-days total of $143, 836 (both yesterday and today)
The cost of one ticket can be calculated below:
cost of one ticket = 143,836 / 968
cost of one ticket = 148.590909091
cost of one ticket ≈ $ 148.59
read more: https://brainly.com/question/15471320?referrer=searchResults
Please help! Due in two hours!
Answer:
-175.26
Step-by-step explanation:
[tex]log_2\frac{z^8x^{10}}{r^{12}}=8log_2(z)+10log_2(x)-12log_2(r)=8*4.42+22.9-12*19.46=58.26-233.52=-175.26.[/tex]
A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.
Find the coordinates of the vertices of the triangle after a rotation
270° counterclockwise about the origin.
Answer:
it is a
Step-by-step explanation:
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
What is a transformation of a shape?A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The triangle ΔCDE is shown below.
The triangle ΔC'D'E' after a rotation 270° counterclockwise about the origin.
The triangle ΔCDE and ΔC'D'E' are shown on the graph.
The coordinates of the triangle ΔC'D'E' will be (2, 1), (5, -3), and (2, -1). Then the correct option is C.
The transformation of the triangle is given below.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ2
3(2x + 5) + 4(3c - 2)
Answer:
6x+12c+7
Step-by-step explanation:
3(2x+5)+4(3c-2)
3*2x+3*5+4*3c-4*2
6x+15+12c-8
6x+12c+7
Answer:
[tex]12c+6x+7[/tex]
Step-by-step explanation:
Use the distributive property to simplify the expression accordingly:
[tex](6x+15)+(12c-8)[/tex]
[tex]12c+6x+7[/tex]
what is 22 over 7 - 2 over 3 divided by 2
14. Write an equation for the line in slope-intercept form.
Answer:
y equals -2x plus 8
Step-by-step explanation:
pls help will mark as brainlist
Step-by-step explanation:
total angle= 360°.
sides = 360/36 = 10 (decagon).
total angle= 360°
sides = 360/120 = 3(triangle).
hope this helps you to.
9-3 divided by 1/3 +1
Answer:
9-3/ 1/3 +1= 1
Step-by-step explanation:
PEMDAS
100 POINTS
Given Point P(3,4), what is the resulting point after the following transformations?
Translate 3 up and 2 left
Rotation 180° around origin
Reflection over y-axis
Answer:
(1, -7)
Step-by-step explanation:
P(3,4)
3 up ---> y = 4 + 3 = 7
2 left ----> x = 3 - 2 = 1
new point (1, 7)
after 180 rotation around origin
point is (-1, -7)
now reflection over y-axis
(1, -7)
Answer:
[tex](1,-7)[/tex]
Step-by-step explanation:
Refer to the image below
HELP ME PLEASE PLEASE ILL MARK BRAINLIEST
Answer:
its 5
Step-by-step explanation:
I know this because you just need to find the opposite integer and then that make s a zero pair and then you get 5
How would I graph this?: 3x + 9y = −18
Answer:
take value of x as 0 so
9y=-18 y =-18/9
y=-2
(0,-2)
same take y equal 0
Evaluate -24=(-6)-(-18).
Answer:
−24= 12
Step-by-step explanation:
Answer:
-2=1
Step-by-step explanation:
-24=(-6)-(-18)
-24=(-6)+18
-24=12
-24/12 = 12/12
-2=1
(2 negatives make a positive)
find the final amount when 10500 is invested at 9% simple interest for 4 years
Answer:
3780
Step-by-step explanation:
10500 x 9% x 4 divided by 100=3780
harry is x years old now. three years ago, jenny was twice harry's age. in three years time, ahmed will be five times as old as jenny. write an expression for ahmed's age now
Harry is x years old now.
Harry was x-3 years old three years ago.
Three years ago, Jenny was 2(x-3)=2x-6 years old.
Now, Jenny is 2x-6+3 years old.
In three years time, Jenny will be 2x-6+3+3=2x years old.
In three years time, Ahmed will be 5(2x)= 10x years old.
Hope this helped you-have a good day bro cya)
Simplify 2y+4x=16x +6y
How do you find the quotient in the equation 8÷304
Answer:
304 divided by 8 in decimal = 38
304 divided by 8 in fraction = 304/8
304 divided by 8 in percentage = 3800%
Step-by-step explanation: You just simply divide.
divide $70 into the ratio of 2:7: 1
Answer:
$14:$49:$7
Step-by-step explanation:
To solve this question you first add the ratios.
So 2+7+1, which is 10. You then take this number and divide it by 70 to find 1 part. 70 divide by 10 is 7, which represents 1 part.
7 times by 2 is 14, 7 times by 7 is 49 and 7 times by 1 is 7.
Thus you get the ratio, $14:$49:$7.
And if you add 14+49+7, you get 70!
which statement is correctly written as a conditional statement
Answer:
a shape has four sides,or it is a quadrilateral