Answer:
The third one x+49+28=180
Step-by-step explanation:
We can say that the angle between the 29° angle and the 49° angle is equal to x, since they are vertically opposite angles.
The sum of 28+49+x is equal to a supplement angle which is a straight line essentially
We can then say x+28+49=180
:)
If you want to calculate x,
x=180-28-49
x=103
one leg of a right triangle is twice as long as the other leg, If the hypotenuse side is 5cm long then what is the measure of the shorter leg (you can leave your answer as a decimal or in radical form)
Step-by-step explanation:
Let the base be x and the perpendicular be y.
It is given that, one leg of a right triangle is twice as long as the other leg,
y = 2x ...(1)
Hypotenuse, H = 5 cm
We can use Pythagoras theorem as follows :
[tex]H^2=B^2+P^2[/tex]
Putting all the values,
[tex]5^2=x^2+(2x)^2\\\\25=x^2+4x^2\\\\25=5x^2\\\\x^2=5\\\\x=\sqrt{5}\ cm[/tex]
So, the base is [tex]\sqrt5\ cm[/tex]. No, to find the value of y put x in equation (1). So,
[tex]y=2x\\\\=2\sqrt{5} \ cm[/tex]
Hence, the measure of the shorter leg is [tex]\sqrt{5} \ cm[/tex]
7 is what percent of 68
Answer:
10.30%
Step-by-step explanation:
7/68
x 100% = 10.2941176471%
a student believes...
Answer:
B
Step-by-step explanation:
This is correct because we already know that the two sides are congruent and that we have one more side we need to prove congruent. Well, it is congruent because it's just lined up next to each other, so they're equal which is BD=DB. This would make it so it would be SSS and the two triangles are congruent.
Please let me know if you need further explanation.
A recipe calls for 375 g of flour for every 50 g of sugar. How much flour would you need if you used 125 g of sugar?
Answer:
Let's order the units because it can help us better;
Flour 375g x_______ _______ = ________ , next we solve for x;
Sugar 125g 50g375/125 = x/50
x = 150
growth: Word problems V84
Kenny lives in Greenpoint, where the cost of living increases by 8% every year. If Kenny
spends $50,700 this year, how much can he expect to spend 11 years from now to maintain
the same standard of living?
If necessary, round your answer to the nearest cent.
Using an exponential function, it is found that he must spend $118,214 in 11 years to keep the same standard of living.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.His current cost of living is of $50,700, which increases by 8% yearly, hence A(0) = 50700, r = 0.08, and the equation is:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 50700(1 + 0.08)^t[/tex]
[tex]A(t) = 50700(1.08)^t[/tex]
After 11 years, the cost will be given by:
[tex]A(11) = 50700(1.08)^{11} = 118214[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Solve for X, round to the nearest tenth of a degree is necessary
Answer:
x= 35.2344 °
Step-by-step explanation:
Sides:
a = 2.6 m
b = 2.12368 m
c = 1.5 m
Angles:
A = 90 °
B = 54.7656 °
C = 35.2344 °
Other:
P = 6.22368 m
s = 3.11184 m
K = 1.59276 m2
r = 0.511838 m
R = 1.3 m
C = angle C
a = side a
b = side b
c = side c
P = perimeter
s = semi-perimeter
K = area
r = radius of inscribed circle
R = radius of circumscribed circle
AAS is Angle, Angle, Side
Given the size of 2 angles and 1 side opposite one of the given angles, you can calculate the sizes of the remaining 1 angle and 2 sides.
Use the Sum of Angles Rule to find the other angle, then
use The Law of Sines to solve for each of the other two sides.
Vince has 19 cupcakes. He divides them evenly among 7 friends. How many cupcakes does
each friend get?
Answer:
Explain:
Pls help my teacher said to also turn it into a fraction something like that
Answer:
1
Step-by-step explanation:
You find a number that divides 7 to equal 19.
[tex]\tt \dfrac{19}{7}=2\dfrac{5}{7}[/tex]
Given the sequence, 3, -9,27,-81 ...
What is the 15th term, assuming the pattern continues
Fist : 3
then
second : x (-3) = - 9
third : x (-3) = 27
x (-3) = - 81
the 15 term ?
first one = 3 x (-3)⁰
second one = 3 x (-3)¹
third one = 3 x (-3)²
so n one = 3 x (-3)ⁿ⁻¹
then the 15th one = 3 x (-3)¹⁴
in your own words explain the steps you would need to take to find slope from the data table .
Answer:
look at explanation, i got it on ed.
Step-by-step explanation:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Answer:
Start by choosing two data points. Calculate the difference between the second y value and the first y value. Then divide that by the difference between the second x value and the first x value.
Step-by-step explanation:
Solve the system:
4x – 3y = -21
X=-y-14
Answer:
The solution for the system of equations is
x=2,y=−2
Explanation:
4x−3y=14.....equation (1)
y=−3x+4.....equation (2)
Solving by substitution
Substituting equation 2 in equation 1
4x−3⋅(−3x+4)=14
4x+9x−12=14
13x=14+12
13x=26
x=2
Finding y by substituting x in equation 1
4x−3y=14
4⋅2−3y=14
8−3y=14
8−14=3y
3y=−6
y=−2
Answer:X=−4x/3−21
y=4x/3+7
Step-by-step explanation:
Y+5.6=8.28
So what does y = to ?
Answer:
Y = 2.68
Step-by-step explanation:
Y + 5.6 = 8.28
To find Y, you would need to subtract 5.6 from both sides:
Y + 5.6 - 5.6 = 8.28 - 5.6
So that would simplify to:
Y = 8.28 - 5.6
8.28 - 5.6 = 2.68
So Y = 2.68
Hope this helps :)
Solve this equation:
3y-4=6 -2y
Answer:
y = 2
Step-by-step explanation:
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]3y-4+4=6-2y+4[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3y=-2y+10[/tex]
[tex]\mathrm{Add\:}2y\mathrm{\:to\:both\:sides}[/tex]
[tex]3y+2y=-2y+10+2y[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]5y=10[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]
[tex]\frac{5y}{5}=\frac{10}{5}[/tex]
[tex]\mathrm{Simplify}[/tex]
y = 2
~Learn with Lenvy~
Answer:
y = 2
Step-by-step explanation:
Rearrange terms
3y -4 = -2y +6
Add 4 to both side
3y -4 +4 = -2y +6+4
Simplify
3y = -2y + 10
Add 2y to both sides
3y +2y = -2y + 10 +2y
Simplify
5y = 10
Divide both sides by the same factor
5y/5 = 10/5
Simplify
y = 2
[RevyBreeze]
Antwaun wants to purchase new photography equipment. He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekend . If the original price of the lens he wanted is $599, what is the new price of the lens once it goes on sale ?
The new price of the lens once it goes on sale is $389.35.
Given that,
He sees an advertisement on a store's website for a 35% sale on 85mm lenses this weekendcalculation:[tex]= \$599 - (35\% of \$599)\\\\[/tex]
= $389.35
Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
Calculate the distance point A (−3, 6, 2) and point B (4, −5, 6) are from the origin. Round to the nearest tenth.
Approximately how much farther from the origin is point B than point A?
1.8 units
2.4 units
3.2 units
4.0 units
Answer: 1.8 units
Step-by-step explanation:
Help me please........
Answer
4
~~~~~~~~~~~~~~~~~~~~~~~
Yeah it's 4 again double check!
During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions
101 - 6+ 2. = 4(3x - 1) - 2
Terrence concluded that the equation has infinitely many solutions
Determine if Terrence's conclusion is correct that the equation has infinitely many solutions
Show each step of your work and justity your thinking
Enter your answer work, and justification in the box provided
The equation can have no solution or as many solutions as possible
Terrence's conclusion that the equation has infinitely many solutions is false
How to determine the number of solutions?The equation is given as:
101 - 6+ 2 = 4(3x - 1) - 2
Open the bracket
101 - 6+ 2 = 12x - 4 - 2
Collect the like terms
12x = 101 - 6+ 2 + 4 + 2
Evaluate the like terms
12x = 103
Divide both sides by 12
x =103/12
The above shows that the equation has one solution
Hence, Terrence's conclusion that the equation has infinitely many solutions is false
Read more about equation solutions at:
https://brainly.com/question/7784687
need help to answer this question please
Answer:
width = 3 cm
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
given A = 27 and length = 9 , then
9 × width = 27 ( divide both sides by 9 )
width = 3 cm
❝ Area of a rectangle is ❞ = ❝ Length × Width ❞
✠ Given terms :
➺ Area = 27 cm²
➺ length = 9 cm
✠ Now, let's assume the width to be ❝ x cm ❞ and proceed to find its value using given relation ~
[tex]\qquad \: \twoheadrightarrow\sf Area = L × B [/tex]
[tex]\qquad \: \twoheadrightarrow\sf 27 = 9 × x [/tex]
[tex]\qquad \: \twoheadrightarrow \sf x = 27 ÷ 9[/tex]
[tex]\qquad \: \twoheadrightarrow \sf \: x = 3 \: cm[/tex]
✠ Therefore, The width of the rectangle = 3 cm
[tex]\qquad\qquad \qquad\huge \dag \normalsize\sf\boxed{\underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]
╭─━━━━━─╯Thanks╰─━━━━━─╮
Which of the following graphs represent a function?
Answer:
do u have a picture of it ?
Answer:
No graphs are visible to choose from...
Step-by-step explanation:
Ankur estimated the quotient of 15 and one-third divided by (negative 4 and two-thirds) to be 3. Which best describes his error? Ankur multiplied the compatible numbers 15 and –3. Ankur found that the quotient of a positive number and a negative number is negative. Ankur found that the quotient of a positive number and a negative number is positive. Ankur added the compatible numbers 15 and –3.
Answer:
C. Ankur found that the quotient of a positive number and a negative number is positive
Step-by-step explanation:
Given the expression that is solved by Ankur as shown;
[tex]15 \frac{1}{3} \div(-4\frac{2}{3} )[/tex]
We were told that Ankur got 3. Let us evaluate to see ankurs error.
change to improper fraction first
[tex]= 15 \frac{1}{3} \div(-4\frac{2}{3} )\\= \frac{46}{3} \div \frac{-14}{3} \\= \frac{46}{3} \times \frac{-3}{14} \\= \frac{-46}{14}\\ = -3.28[/tex]
Note that from the calculation the quotient of a positive number to a negative number returns a negative number. Based on Ankur's answer, he got a postive value which is one of his errors. He found out that the quotient of a positive number and a negative number is positive which is wrong.
Hence the correct option is C
Answer:
Step-by-stepAnkur found that the quotient of a positive number and a negative number is negative
Step-by-step explanation:
Given that:
Quotient of 15 and one-third divided by (negative 4 and two-thirds) = 3
Mathematically,
( 15 1/3) ÷ (-4 2/3) = 3
Here,
Dividend = 15 1/3 (positive)
Divisor = - 4 2/3 (negative)
Dividing a positive Dividend by a negative Divisor will always give a negative quotient
Hence,
15 1/3 = 46 / 3
-4 2/3 = - 14 / 3
46/3 ÷ - 14/3
= 46/3 * -3 / 14
Ankur must have either forgotten or neglected the negative sign in the divisor explanation:
so the answer is b
Write a formula for each situation.
There are sixty minutes, m, in an hour, h.
Hey there!
Equation: 60m = h
Goodluck and enjoy ^_^
Answer:
What is the rest of the question? There isn't enough information.
Step-by-step explanation:
Can somebody please help me with this
Answer:
Check the image
Step-by-step explanation:
Hope this helps!
help me plz idk why im very bad at mmath
Answer:
16.8
Step-by-step explanation:
Hope this helps
Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= "-10x" – 4.
Search instead for Find the equation of a line that has the same slope as y = 6 - 2x and the same y-intercept as y= -10x – 4.
Answer:
y = - 2x - 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6 - 2x = - 2x + 6 ← is in slope- intercept form
with slope m = - 2
y = - 10x - 4 ← is in slope- intercept form
eith y- intercept c = - 4
then
y = - 2x - 4 ← is the equation of the required line
Step-by-step explanation:
slope of y=6-2x=> -2 as it is in the form (y=mx+c )
y intercept of y=-10x-4=-4(as it in the form y=mx+c ,c is intercept made by y-axis)
so equation of line having-4 as y intercept and slope as -2 will be given by (intercept slope form):
that is y=mx+c
=> y= -2x-4=> 2x+y+4=0 is equation of required line
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 kg to 28 kg
Answer:
28/12
Step-by-step explanation:
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume
Check the picture below.
Which of the following is a solution of the equation 6y + 8 = 20?
1 ) 2
2) 14/3
3) 1/2
It can be more than one
Answer:
y=2
Step-by-step explanation:
6y+8=20
6y=12
y=12÷6
y=2
Hope this helps! :)
I don’t have time to figure these one out for my own please help
Answer:
X=6
Step-by-step explanation:
5x+1=31
-1 from each side
5x=30
divide both sides by 5
x=6
m∠ ( 5x + 1 )° will be equal to m∠31° because they both are vertically opposite angles.
Which means :-
[tex]5x + 1 = 31[/tex]
[tex]5x = 31 - 1[/tex]
[tex]5x = 30[/tex]
[tex]x = \frac{30}{5} [/tex]
[tex]\color{red}x = 6[/tex]
Therefore , m∠ ( 5x + 1 )° = 31° and the value of x = 6 .
HELP!!
The points M(-2, –7), N(-2,1), and O(–7, -5) form a triangle. find the
perimeter of the triangle.
Answer:
Step-by-step explanation:
Why does a square root function not have a domain of all real numbers
What is the solution?
Answer:
MAYBE IF YOU STUDIED YOU'D KNOW THE ANSWER
Step-by-step explanation: