Answer:
Step-by-step explanation:
41). Measure of an external angle of a triangle is equal to the sum of teh opposite two angles.
140° = (13x + 9)° + (5x + 5)°
140 = 18x + 14
18x = 140 - 14
18x = 126
x = 7
m∠R = (13x + 9)
= 13×7 + 9
= 100°
42). m∠DCA = m∠E + m∠D
126° = (6x + 2)° + (5x + 3)°
126 = 11x + 5
11x = 126 - 5
11x = 121
x = 11
m∠D = (5x + 3)
= 5(11) + 3
= 58°
43). m∠DPQ = m∠Q + m∠R
11x + 3 = 70° + (x + 13)°
11x + 3 = x + 83
11x - x = 83 - 3
10x = 80
x = 8
m∠R = (x + 13)
= 21°
44). m∠QST = m∠T + m∠U
13 + 13x = 100 + (3x + 3)
13 + 13x = 3x + 103
13x - 3x = 103 - 13
10x = 90
x = 9
m∠U = 3x + 3
= 3(9) + 3
= 27 + 3
= 30°
What is the HCF of 21m³n - 14m²n³ + 35m²n² ?
Answer:
7m^2n (i think)
Step-by-step explanation:
subtract (7x - 3) -(5-3x)
Answer:
4x-8
Step-by-step explanation:
7x-3-5-3x
combine like terms
7x-3x-3-5
4x-8
unless there is a value for x then that is all i can do
hope this helps:)
Answer: 10x - 8
Step-by-step explanation:
(7x - 3) -(5-3x)
= (7x - 3) - 5 + 3x Made them without parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.
= 7x - 3 - 5 + 3x
= 7x + 3x - 3 - 5
= 10x - 8
Order the set of numbers from least to greatest:
Answer:
It is already in the correct order
Question 4 (1 point)
What is the value of x?
30
A. 4 sqrt 3
B. 16
C. 4
D. 8 sqrt 3
Answer:
I think answer is C. 4
Step-by-step explanation:
8:2=4
what is x -2(4x-3)=-12-14x
Answer:
x= -17/8
Step-by-step explanation:
1 step: take care of the parentheses ( multiply -2 to what is on parentheses)
so x -8x +6 =-12-14x
2 step : move all number with x to the left side
x-8x +14x = -12 -6
7x = -18
x = -18/7
5 Mario has $660 in his savings account earning 2.5% interest yearly. How much interest will he earn in 2 years?
Im terrible at word problems smh
Answer:
$33
Step-by-step explanation:
You do $660 • 0.025
You have to bring the decimal two places to the left for finding the decimal point.
So you'd get 16.5.
But there's two years. So times it by two.
So it's 33.
Hope this helps
que es un ángulo obtuso
Answer:
naniiiiiiiiiiiiiiiiiiiiii
Answer:
uhmmuhmmmmmmmmuhmmmm
If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of side z?
A.
20 cm
B.
21 cm
C.
17 cm
D.
10 cm
Given:
In a triangle, side x has a length of 15 cm and side y has a length of 4 cm.
To find:
The possible value of side z.
Solution:
In a triangle, the sum of two smaller sides must be greater than the largest side otherwise the triangle is not possible.
Case I: Let x be the largest side, then
[tex]y+z>x[/tex]
[tex]4+z>15[/tex]
[tex]z>15-4[/tex]
[tex]z>11[/tex] ...(i)
It is clear that [tex]y<x[/tex]. So, y cannot be a largest side.
Case II: Let z be the largest side, then
[tex]x+y>z[/tex]
[tex]15+4>z[/tex]
[tex]19>z[/tex] ...(ii)
From (i) and (ii), we get
[tex]11<z<19[/tex]
It means the value of z lies between 11 and 19.
From the given options, only 17 is the value which lies between 11 and 19. So, the possible length of side z is 17 cm.
Therefore, the correct option is C.
Eric has 240 coins in his collection. 11\20 of his coins are pennies. 4\20 of the coins are nickels. The rest f the coins are quarters. How many of the coins are quarters? Explain how you got your answer.
Answer:Number of coins that are quarters =60
Step-by-step explanation:
Total coins in possession of Eric=240
Number of coins that are pennies=11\20 x 240= 132
Number of coins that are nickels=4\20 x 240= 48
Since the rest are quarters,
Number of coins that are quarters =Total coins in possession of Eric -( Number of coins that are pennies+ Number of coins that are nickels)
=240-(132+48)
=240-180
=60
The sink started with 20ml of water and increases at 3ml per min. If the sink is currently holding 75ml, how many minutes have passed? Which equation would you use to solve for m (minutes passed)?
Answer:
18.78 minutes is my opinion
Step-by-step explanation:
3 ml is filled in 1 minute
1 ml is filled in 1/3 minutes
20 ml is filled in 1/3*20 minutes
=6.22
75 ml is filled in 1/3*75 minutes
=25
25-6.22=18.78
a car has traveled 400 miles in 10 hours the car has averaged 40 miles per hour
Answer:
I'm confused on what the question was or are you just making sure it's correct
Answer:
Your statement is correct
Step-by-step explanation:
400 miles/10 hours = 40miles/hour
ZB=
Round your answer to the nearest hundredth.
B
?
5
2
С
А
Answer:
angle B = 66.42
Step-by-step explanation:
cos-1 B = [tex]\frac{adjacent}{hypotenuse}[/tex]
cos-1 B = [tex]\frac{2}{5}[/tex]
cos-1 B = 0.40
cos-1 of 0.40 is 66.4218
round to the nearest hundreth = 66.42
angle b = 66.42
Together Xena and Yolanda have 12$. Yolanda has 6 more dollars than Xena.How much money does each prson have? [tex]x+y=12\\y=x+6[/tex]
Step-by-step explanation:
y=x+6 ,hence:
x+x+6=12
2x=6
x=3
=> y=9
Item 6
Find the selling price.
Cost to store: $50
Markup: 10%
The selling price is?
50×100÷110=45.454545r6
IF |X+5| = 14, THEN X =? PLEASE HURRY DUE BY 11:00
Answer:
x=9,−19
hope this is fast enough
Answer:
I think X=9
Hope this helps :)
Three students wrote expressions on their dry-erase boards.
Which students wrote equivalent expressions?
Student 1 (((( Student 2 ((((( Student 3
-5r + 3s + 1 / / -(5r - 3s + 1) // -5r + 3s -1
Answer:
Student 2 and Student 3
Step-by-step explanation:
Student 2
-(5r - 3s + 1)
= - 5r +3s - 1
Student 3
= - 5r +3s - 1
hey! can u help me with this?! 6 divided by 3/5 in fraction form!?!?!!?
Answer:
10/1
Step-by-step explanation:
You do
6÷ 3/5
Flip the 3/5 then multiply
6 ° 5/3
Reduce the numbers with the greatest common factor 3
So 2•5
And that's 10
Ans is 10.
The numbers in 6 divided by 3/5 are labeled below:
6 = whole number
3 = numerator
5 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 5/3 = 30/3
Thus, the answer to 6 divided by 3/5 in fraction form is:
30/3
To make the answer to 6 divided by 3/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
30 / 3 = 10
The answer is rounded to the nearest two decimal points if necessary.
30/3 can be simplified to 10/1.
10/1 is an improper fraction and should be written as 10.
Which product of prime polynomials is equivalent to 3x4 – 81x?
3x(x – 3)(x2 – 3x – 9)
3x(x – 3)(x2 + 3x + 9)
3x(x – 3)(x – 3)(x + 3)
3x(x – 3)(x + 3)(x + 3)
Given:
The expression is
[tex]3x^4-81x[/tex]
To find:
The product of prime polynomials which is equivalent to the given expression.
Solution:
We have,
[tex]3x^4-81x[/tex]
Taking out the common factors, we get
[tex]=3x(x^3-27)[/tex]
It can be written as
[tex]=3x(x^3-3^3)[/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex] [tex][\because a^3-b^3=(a-b)(a^2+ab+b^2)][/tex]
[tex]=3x(x-3)(x^2+3x+3^2)[/tex]
[tex]=3x(x-3)(x^2+3x+9)[/tex]
Therefore, the correct option is B.
Answer:
It's B
Step-by-step explanation:
The relationship between the number of calories Aaron burns while working out can be represented by y = 3x, where x is the number of minutes and y is the number of calories burned. Which of the following could be the graph of this situation?
Answer:
Step-by-step explanation:
The relation is proportional ⇒ Graph of y = 3x goes through origin
So the answer is (B)
Find the radius x of a
Answer:
This doesn’t add up because the hypotenuse is supposed to be the longest side
Step-by-step explanation:
A number Q has a remainder of 3 when divided by 5 and also has a remainder of 4 when divided by 8. What is the smallest value Q can have?
need help for this question pls urgent
Here are the marks of a student in four exams.
65 80 76 69
The student takes a fifth exam.
His mean mark for the five exams is 70
Work out his mark in the fifth exam.
Answer:
61 marksStep-by-step explanation:
Given,
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
Therefore,
By the problem,
[tex] = > \frac{65 + 80 + 76 + 68 + x}{5} = 70[/tex]
[tex] = > \frac{289 + x}{5} = 70[/tex]
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
Hence,
Marks of the fifth exam is 61 (Ans)
A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3? Enter your answer as a fraction, in simplest form, in the box.
Answer:
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
Step-by-step explanation:
The probability of spinning a 3 is 1/9. What is the probability of not spinning a 3?
Spinning a 3 and not spinning a 3 are complementary events, which means that the sum of their probabilities is decimal 1. So
[tex]\frac{1}{9} + p = 1[/tex]
[tex]p = 1 - \frac{1}{9} = \frac{9}{9} - \frac{1}{9} = \frac{8}{9}[/tex]
The probability of not spinning a 3 is [tex]\frac{8}{9}[/tex]
i dont know how to do this
Answer:
y ≥ 1
since the graph starts at 1 and doesn't come below that
Answer:
BI hoped this helped :))
Terry uses a ladder that is 12 feet tall. To be safe the ladder must make an angle of elevation of between 70-85 degrees to be safe. If he places the ladder 3 feet from the wall, is it safe?
Answer:
It is safe
Step-by-step explanation:
Using trigonometry :
Cosθ = adjacent / hypotenus
Hypotenus = length of ladder = 12 feets
Adjacent = distance between ladder and wall = 3 feets
Cosθ = 3 /12
Cosθ = 0.25
θ = cos^-1(0.25)
θ = 75.522°
To be safe ladder must be between (70 - 85)°
Sijce ladder is at an elevation of 75.22° ; then it is safe.
hello i need help whit this in math
If lm=13 and ln=20 what is the length of mn
Answer: 7
Step-by-step explanation:
Total=LN
Piece= LM
Total-piece
LN-LM=MN
20-13=7
MN=7
Answer:
its 7
if you subtract LM and LN you get 7
Here is part of a bus timetable:
Bus Station
a)
07 00
07 50
08 40
A bus leaves Hope Street at
07 54. What time should it
arrive at School Road?
Hope Street
07 04
07 54
08 44
b)
Church Street
07 09
07 59
08 49
Jo's school is on School Road.
Jo needs to get there at 8am.
What is the time of the latest
bus that she can catch from
the bus station?
School Road
07 14
08 04
08 54
High Street
07 20
08 10
09 00
c) How long does the bus take to
travel from the bus station to
School Road?
Bus Station
07 40
08 30
09 20
The time the bus should arrive at School Road from Hope Street is 08 : 04.
The time of the latest bus that Jo can catch from the Bus Station is 07 00.
The time the bus takes to travel from the bus station to School Road is 14 minutes.
How to find the time ?The table shows that when a bus leaves for School Road from Hope Street, at 07 54, it will arrive on School Road at 08 04.
The time it takes from the bus station to School road is:
= Arrival time at school road - Departure time from Bus station
= 08 04 - 07 50
= 14 minutes
If Jo wants to be in school road at 8 am by the latest, she needs to leave before :
= 8 am - 14 minutes
= 07 46
The only bus leaving before this time is the 0700 bus from the Bus Station.
Find out more on bus stations at https://brainly.com/question/13209100
#SPJ1
Macy started the week with $30. She then worked at her tutoring job at $15 an hour. She had a total of $210 at the end of the week. Set up an equation to determine the number of hours she worked that week. ( You don't need to solve )
find the values of the following
(a) -5×4+3×-6
Answer: -26+3x
-5×4+3×-6
Simplifies to:
-20+3x-6