Answers
Answer:
[tex]\huge\boxed{x = 8}[/tex]
Step-by-step explanation:
In order to solve for x, we need to note a few angle relationships here.
A) Equations can be used to represent angle lengths as long as there is something else to reference it (such as a supplementary/congruent/etc. angle) B) When two parallel lines are cut by a transversal, the angle measures formed by the transversal will be the same.Using these rules, we can start to figure out that the angle [tex]7x+3[/tex] is going to be congruent to the angle [tex]3x+35[/tex]. Since the angle measures will be the same, that means the value of x will also be the same. Therefore, we can set the two equations equal to each other and solve for x.
[tex]7x + 3 = 3x+35[/tex] [tex]4x + 3 = 35[/tex] [tex]4x = 32[/tex] [tex]x = 8[/tex]Hope this helped!
Related Questions
Find the value of ‘n’ and measure-of each angle
Answers
Answer:
pleas give me free brainiestStep-by-step explanation:
1. It is not possible for a triangle to have more than one vertex with internal angle greater than or equal to 90°, or it would no longer be a triangle. 2. The interior angles of a triangle always add up to 180° while the exterior angles of a triangle are equal to the sum of the two interior angles that are not adjacent to it. Another way to calculate the exterior angle of a triangle is to subtract the angle of the vertex of interest from 180°. 3. The sum of the lengths of any two sides of a...
There are 347 students going on a field trip. Each bus holds 44 students. If each bus costs $95, is the total cost of the buses more than $1,000? Estimate, then find the exact answer.
Answers
Answer:
Total cost= $760
Step-by-step explanation:
Giving the following information:
Number of students= 347
Each bus holds 44 students.
Bus cost= $95
First, we need to determine the number of buses needed:
Number of buses= total students / student per bus
Number of buses= 347 / 44
Number of buses= 7.88 = 8 buses
Now, the total cost:
Total cost= 8*95
Total cost= $760
4.) 960 meters in 15 seconds
Write the following rate as a unit rate
Answers
Answer:
64
Step-by-step explanation:
960 divided by 15 is 64. The unit rate means one so you are trying to get it to 1 second so just do 15 divided by 15 which is 1, then 960 divided by 15 which is 64
A standard shower head uses 18 gallon of water in 3 minutes. If 270 gallons were used, how many minutes were spent in the shower?
Answers
Answer:
the answer is 45 minutes, hope this helped :-)
Step-by-step explanation:
18:3=6
270:6=45
Answer:they spent 15 minutes in the shower
Step-by-step explanation:
the volume of a cube is 216ft3. what is the length of a side?
Answers
216cm^2
Volume of cube= 216 ft^3
l^3= 216
l= Cube root of 216
l= 6
SA=6*l^2
=6*6*6
=216 cm^2
Answer:
Z
Step-by-step explanation:
simplify [tex]\sqrt[4]{6^4}[/tex]
Answers
Answer:
6
Step-by-step explanation:
We can rewrite the expression as
(6^4) ^ (1/4)
We know that a^ b^c = a^ ( b*c)
6^4 ^ (1/4)
6 ^ ( 4*1/4)
6
Answer:
6
Step-by-step explanation:
[tex] \sqrt[4]{ {6}^{4} } [/tex]
The 4 root and the 4 exponent cancel out as these two are inverse variables, then we are left with our answer
[tex]6[/tex]
I just need help on this problem
Answers
Answer:
16
Step-by-step explanation:
8n ; n=2
substitute 2 for n
8*2 = 16
Answer:
16
Step-by-step explanation:
plug in 2 for the letter n. 8(2)=16
parantheses mean multiplication.
A rectangular book measures 4 x 7. What is the length of its
diagonal?
Answers
A rectangular book measures 4 x 7, the length of its diagonal is √65.
Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In mathematical terms, if a and b represent the lengths of the two shorter sides (also known as legs) of a right triangle, and c represents the length of the hypotenuse, then the Pythagorean theorem can be expressed as:
a² + b² = c²
Given:
Base = 4
Length = 7.
To determine the length of diagonal by using Pythagorean theorem.
Diagonal² = Base² + Length²
Plugging the values in Pythagorean theorem.
Diagonal² = 4² + 7²
Diagonal = √(16 + 49) =√65.
Therefore, the length of diagonal of book is √65.
Learn more about Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
1. FIND THE SLOPE FROM THE TABLE.
Answers
Answer:
B
Step-by-step explanation:
Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2
6 = m/8 Solve the equation.
Answers
[tex]6=\frac{m}{8}\\x=48[/tex]
Can somebody help me with this thank you.
Answers
A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. What is the cost of one hat and one mask? Let Hat be "H" and Mask be "M"
Answers
Answer:
m=1$
h = 1$
Step-by-step explanation:
i think... seems the only reasonable answer
The cost of one hat is $1 and cost of one mask is $1.
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have 10 hats and 20 masks were sold for $30.
and, 8 hats and 10 masks were sold for $18.
let the cost of one hat be H and cost one Mask be M.
So, the system of Equation we get
10H + 20M = 30..........(1)
8H + 10M = 18...........(2)
Solving the above equation we get
10H - 16H = 30 - 36
-6H = -6
H = 1
and, 10 + 20M= 30
20M= 20
M= 1
Learn more about Equation here:
https://brainly.com/question/29538993
#SPJ3
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
The probability both of my choices are male is 2/15
Use the information to form an appropriate quadratic equation N square + an + b = 0, specifying the constants a and b.
Answers
Answer: There are 4 male goats.
Step-by-step explanation:
We know that n of the 10 goats are male.
The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)
The probability is;
p = n/10
Now the total number of goats is 9, and the number of male goats is n -1
then the probability of selecting a male goat again is:
q = (n-1)/9
The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is
P = p*q = (n/10)*((n-1)/9)
And we know that this probability is equal to 2/15
Then we have:
(n/10)*((n-1)/9) = 2/15
(n*(n-1))/90 = 2/15
n*(n-1) = 90*2/15 = 12
n^2 - n = 12
n^2 - n - 12 = 0
This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:
For an equation:
a*x^2 + b*x + c = 0
The two solutions are given by:
[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
For our case, the solutions will be:
[tex]n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}[/tex]
The two solutions are:
n = (1 - 7)/2 = -3 (this solution does not make sense, we can not have a negative number of goats)
The other solution is:
n = (1 + 7)/2 = 4
This solution does make sense, this means that we have 4 male goats.
What is 8/5 times 4/15?
Answers
Answer:
The answer is 32/75
Step-by-step explanation:
Hope this helps,
have a great day,
Please subscribe to Random Topics Trending on youtub
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The attachment lists points on each graph.
a) The equation for a horizontal line is ...
y = constant
Here, the output value is always 5, so that is the constant in the equation:
y = 5
__
b) The graph is a straight line through the origin, so the equation is that of a proportion:
y = kx . . . . . for some constant of proportionality k
Using the point (x, y) = (-4, 2), we can find k from ...
k = y/x = 2/(-4) = -1/2
The equation of the line is ...
y = -1/2x
__
c) The graph has a rise of 3 units for each run of 1 unit, so the slope is ...
m = rise/run = 3/1 = 3
The y-intercept (where the line crosses the y-axis) is b = -2. Then the slope-intercept form of the equation is ...
y = mx + b . . . . . for slope m and y-intercept b
y = 3x - 2
_____
You can check that the equation is satisfied by each of the points listed. For example, ...
a) in = -4, out = y = 5 . . . matches table
b) in = 2, out = y = -1/2(2) = -1 . . . matches table
c) in = 1, out = y = 3(1) -2 = 1 . . . matches table
(You can check the other table values.)
Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?
Answers
Answer:
Step-by-step explanation:
.
Determine the basic probability.
Answers
PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32
Answers
Answer:
I'm not even lying, it's none of them ;-;
btw if you want, can you give me brainliest :((
Answer:
4
Step-by-step explanation:
16^(1/2)
when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number
we are left with an order 2 root, which is a square root
[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]
Please please help please please
Answers
Answer:
A. 4/ 3
Step-by-step explanation:
With reference angle X
perpendicular (p) = 24
base (b) = 18
Now
tan X = p / b = 24 / 18 = 4 / 3
Given that the line y=mx+b has a slope of -3 and passes through (6,-4)
Find b, the value of the y-intercept of the line.
Answers
Find the distance between 3,4 and 3,9
Answers
Answer:
The answer is 5.
Step-by-step explanation:
The distance formula is ↷
[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]
All we got to to do right now is plug in!
[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]
Therefore, the distance between 3,4 and 3,9 is 5.
solve the equation by combining like terms: 3x-5+12-2x=12
Answers
Answer:
482
Step-by-step explanation:
3x-5=178+12=82-22x=482
X+7=12 (by combining like terms you have your X’s and your regular numbers. So in this equation we have 3x and -2x as like terms and -5 and 12 as like terms. We combine them to simplify the equation. So by combing 3x and -2x, 3+(-2x), we get 1x or just x. Then we combine -5 and 12, -5+12=7).
X+7=12
-7 -7
X=5
Good luck and I hope this helps!
12 POINTS PLEASE HELP
Given f(-2)=0, find the zeros of the function below by using division and factoring
f (x) x^3 + 12x^2 + 46x + 52
Answers
Answer:
{x}={2}
{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}
{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}
Please answer!! There's a screenshot
Answers
Answer: UMMMM I don't see a screenshot
Step-by-step explanation:
Look at the triangular prism. Work out the volume of the prism.
Answers
Answer:
See explanation
Step-by-step explanation:
The question has missing details, as the diagram of the prism is not shown.
However, I'll solve using a general rule.
The volume of a triangular prism is:
[tex]Volume = \frac{1}{2}* b * h * l[/tex]
Where
[tex]b = base[/tex]
[tex]h = height[/tex]
[tex]l = length[/tex]
Take for instance:
[tex]b = 20cm[/tex]
[tex]h = 10cm[/tex]
[tex]l = 5cm[/tex]
The volume is:
[tex]Volume = \frac{1}{2} * 20cm * 10cm * 5cm[/tex]
[tex]Volume = 10cm * 10cm * 5cm[/tex]
[tex]Volume = 500cm^3[/tex]
Another instance (see attachment).
From the attachment:
[tex]b = 4.5cm[/tex]
[tex]h = 5cm[/tex]
[tex]l = 8cm[/tex]
The volume is:
[tex]Volume = \frac{1}{2} * 4.5cm * 5cm * 8cm[/tex]
[tex]Volume = 2.25cm * 5cm * 8cm[/tex]
[tex]Volume = 90cm^3[/tex]
3x-9=7x+14 solve for x
Answers
Answer:
x= - 23/4
Step-by-step explanation:
Add 9 to both sides of the equation:
3x -9 = 7x +14
3x- 9 + 9 = 7x +14 +9
Simplify:
3x -9 + 9 = 7x +14 +9
3x = 7x +14 +9
3x =7x +14 +9
Subtract 7x from both sides of the equation:
3x= 7x +23
3x -7x = 7x +23 - 7x
Simplify Again:
3x -7x = 7x +23 -7x
-4x =23
Combine like terms:
-4x =23
Divide both sides of the equation by the same terms:
14x/ 14 = 23/ -4
Cancel terms that are both the numerator and the denominator:
x= - 23/- 4
Answer:
x= - 23/4
consider this system of equationsY=-1/2x+4 1/2 and 3x -4y=12 solve the system by graphing.Label each graph and the solution ...?HELP
Answers
Answer:
y=x^2
Step-by-step explanation:
Question on the picture
Answers
Answer:
[tex]\mathtt{\huge\star{\pink{\underline{ option\: D }}}}\huge\star[/tex]
[WILL GIVE BRAINLIIEST! PLEASE HELP!!] In the first week of July, a record 1,040 people went to the local swimming pool. In the second week, 105 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 196 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
Answers
Answer:
13
Step-by-step explanation:
I'm just here for da points can I still get brainliitest?
Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3). 9 square units 18 square units 18.5 square units 21 square units
Answers
9514 1404 393
Answer:
18 square units
Step-by-step explanation:
Referring to the figure, we see that the base AB has a slope of 1, and the altitude CD has a slope of -1. The number of unit squares crossed by these segments are, respectively 6 and 3, so the length of each is ...
AB = 6√2
CD =3√2
The area is half the product of the base (AB) and height (CD) so is ...
A = 1/2bh = (1/2)(6√2)(3√2) = 18
The area of ΔABC is 18 square units.
_____
Additional comment
It is useful to remember that the diagonal of a unit square is √2. We used that fact here. If you need to figure it using the Pythagorean theorem, you find ...
c² = a² +b²
c = 1² +1² = 2
c = √2
Answer:
B: 18 square units
Step-by-step explanation:
I'm taking the exam