Answer:
None of the Above
Step-by-step explanation:
Key Skills required are: One Variable Equations, Supplementary Angle Pairs, Substitution, and Triangles.
1) To find the measure of Angle C, we first need to find the measure of angle DBC and Angle D.
2) We are given that Angle EBA is x and Angle EBD is 4x+13 and Angle D is 3x + 9 (we will use Angle D later in the problem)
3) Now, we need to use the fact that Angle EBA and Angle EBD are supplementary (they form a linear pair, so they are supplementary).
A pair of supplementary angles add up to 180 degrees (as they form a straight angle).
4) x + 4x + 13 = 180
5) Combine like terms --> 5x + 13 = 180
6) Move 13 to the other side --> 5x = 167
7) Divide by 5 and solve for x: x= 33.4
8) Now we got that x is 33.4, we can get the measure of angle DBC and Angle D.
9) Angle DBC is congruent to Angle EBA. So to find the measure of DBC we need to find the measure of Angle EBA. EBA is just x, so it is 33.4 degrees
10) Therefore, Angle DBC also measures 33.4 degrees.
11) To find angle D, we substitute x into 3x + 9 (We are given angle D is 3x + 9 based on the problem)
12) 3(33.4) + 9 = 100.2 + 9 = 109.2
13) Now we use the interior angles sum of a triangle to find Angle C.
The interior angles of a triangle sum up to 180 degrees.
14) With the statement above we can make this equation: 109.2 + 33.4 + Angle C = 180
15) Simplify by combining like terms: 142.6 + Angle C = 180
16) 37.4 degrees would be the measure of C, so I feel it would be none of the above.
Hope you understood and have a nice day!! :D
I need help with this. I do not understand it.
A Pyramid is placed inside a prism as shown in the pyramid has the same base area B as a prison but half the height H of the prism which expression gives the volume of the pyramid
Answer:
D) V= 1/6 bh
Step-by-step explanation:
The expression that provides the volume of the pyramid is as follows;
As mentioned in the question
It is given that the pyramid put inside a prism
Also the pyramid contains the similar base area but the height is half of the prism
so the base area of the pyramid is b
And, the Height of the pyramid = h ÷ 2
Now as we know that
The volume of the pyramid is
V = 1 ÷3 × base ares × height
= 1 ÷ 3 × b × h ÷ 2
V = 1 ÷ 6 bh
So, the volume is 1 ÷6 bh cube unit.
Answer:
V = 1/6 BH
Step-by-step explanation:
the volume of a pyramid is 1/3 BH , since the pyramid is only half the height of the prism you'll have to multiply 1/3 x 2 = 1/6
1. Evaluate x + 6 when x=7
Thank you!
Answer: 13
Step-by-step explanation: x =7 so u plug 7 in as x .and u do 7 plus 6 which gives u 13.
HOPE it helps ;)
An apple juice factory produced 830.87 gallons of apple juice in 4 days. How much apple
juice, on average, did the factory produce each day?
Answer:
207.7175
Step-by-step explanation:
take the 830.87 and divide it by 4 to see how much is made in 1 day. thats the average.
so I've had a bad migraine all day and my homework is due tonight can somebody do it for me, please because I've just been putting it off and if it doesn't get done I'll get in trouble and get a zero for it I will give you 150 points whoever does my homework
If you sleep 8 hours out of 24 hours, what percentage of the time do you sleep?
Answer:
33.33%
Step-by-step explanation:
8 out of 24 hours is equivalent to 1/3 which equals to 33.33%
Answer:
8/24 converted to a percentage = 33.333333333333%
The midpoint of UV is point W. What are the
coordinates of point V?
Which exponential function has an x-intercept?
OA.
Rx) = 100X-5 - 1
OB.
Rx) = 38-4 + 2
OC.
R(x) = 7*-1 + 1
OD.
Rx) = -8X+1 - 3
Answer:
I would have to say D
Step-by-step explanation:
because it is a complete function
The function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept
How to determine the exponential functionFor an exponential function to have a x-intercept, the function must cross the x-axis
To determine the function, we simply plot them on a graph.
From the graph (see attachment), we can see that the graph of the function [tex]f(x)=100^{x-5}-1[/tex] crosses the x-axis.
This means that the function [tex]f(x)=100^{x-5}-1[/tex] has a x-intercept
Read more about exponential functions at:
https://brainly.com/question/11464095
A family spends $520 every month on food if the family's income is 3 200 each month what percent of the inco.E is spent on food
Answer:
16.25% was spent on food
Step-by-step explanation:
Step one
given data
A family spends $520 every month on food
The family's income is $3200 Monthly
Required
We want to find the percentage of the income spent on food only
Step two
percentage spent on food= amount spent on food/income*100
percentage spent on food= 520/3200*100
percentage spent on food= 0.1625*100
percentage spent on food= 16.25%
=16.25%
Three friends are sharing the cost of a bucket of popcorn the total cost of the popcorn is 5.70. Which equation could be used to find them amount a in dollars that each friend should pay
Answer:
individual pay (a) = cost of popcorn / number of friends
Step-by-step explanation:
Assuming the cost of the popcorn is to be split evenly among the three friends, where all three friends are to split 5.70, the pay per friend is;
individual pay (a) = 5.70 (cost of popcorn) / 3 (number of friends)
Two stores offer customers bulk DVD rates. Best Buy sells 6 CDs for $63 and Target sells 8 CDs for $96. Write the unit price for each store and then determine which store offers the better buy. Explain your reasoning.
Answer:
96÷8=12 so it wold be $12 per CD AND 63÷6=10.5 there for making the CD $10.5 making Best Buy your answe
ILL GIVE BRAINLIEST!!!!!
For questions 3 – 5, use the FOIL method to find the product of the binomials.
3. (2x + 3)(x + 1) 4. (x – 5)(3x + 2) 5. (x2 + 2)(5x + 1)
Answer:
The answer to question 3 is : 2x^2 + 5x + 3
Step-by-step explanation:
The FOIL method is multiplying the first variables, the outside variables, the inside variables and the last variables.
(2x + 3)(x + 1)
F = 2x times x = 2x^2
O = 2x times 1 = 2x
I = 3 times x = 3x
L = 3 times 1 = 3
2x^2 + 5x + 3
I'll leave the rest to you. You got this!
Answer:
1. 2x^2+5x+3 2.3x^2-13x-10 3.10^2+12x+2
Step-by-step explanation:
trust
and plz mark brainliest
just tell me which one.
14.12 = 1/2 (3.6x - 12.8)
show work
Answer:
x = 11.4
Step-by-step explanation:
14.12 = [tex]\frac{1}{2}[/tex] ( 3.6x - 12.8 )
Rewrite so that the equation is entirely in decimals;
14.12 = 0.5( 3.6x - 12.8 )
Distribute;
14.12 = 1.8x - 6.4
Inverse operations;
14.12 = 1.8x - 6.4
+6.4 +6.4
20.52 = 1.8x
/1.8 /1.8
11.4 = x
Answer:
11.4
Step-by-step explanation:
14.12= 1/2(3.6x-12.8)
14.12=1.8x-6.4
20.52=1.8x
x=11.4
Hope that helps :)
Lemme know if I need to explain more
Quinten paid 4.16 for a pound of taffy. If his sister purchases 3 ounces of the same candy, how much will she pay?
Find the missing side lengths . Leave your answers as radicals in simplest form.
Does anybody knows how to do it cause I don’t so can y’all plz help me
Step-by-step explanation:
Question 9:
Hypotenuse = 7
Leg = Hypotenuse / √2 = 7/√2 = 7√2 / 2.
Therefore x = y = 7√2 / 2.
Question 10:
Leg = 10
Since x is also a Leg, x = 10.
Hypotenuse = Leg * √2 = 10√2. => y = 10√2.
Question 11:
Leg = 7
Since x is also a Leg, x = 7.
Hypotenuse = Leg * √2 = 7√2, => y = 7√2.
*WILLL GIVE BRAINIEST TO COORECT RESPONCE*
how do i do this?
what is the answer?
Answer:
line mo
Step-by-step explanation:
Because the triangle are congrument
RST and MNO are the triangle
RT is a line in the RST triqangle
it is equal to the MO line in MNO
A quadratic equation x²+2(3x+p)=0 where p is a constant, has roots a and 2a, where a≠0
(a) find the value of a and of p
(b) hence, from a quadratic equation whose roots are a+1 and a-5
HELP ME PLISS
Answer:
a = -2 and p = 4.
Step-by-step explanation:
x²+2(3x+p)=0
x^2 + 6x + 2p = 0
For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.
So here we have:
Sum of the roots:
a + 2a = -6/1 = -6
Product of the roots = 2a^2 = 2p/1 = 2p..
So 3a = -6 and
a = -2.
and
2(-2)^2 = 2p
8 = 2p
p = (-2)^2 = 4.
Answer:
see explanation
Step-by-step explanation:
Since x = a and x = 2a are roots, then substitute these values into the equation.
x = a
a² + 2(3a + p) = 0, that is
a² + 6a + 2p = 0 → (1)
x = 2a
(2a)² + 2(3(2a) + p) = 0
4a² + 12a + 2p = 0 → (2)
Solving simultaneously
Subtract (1) from (2) term by term to eliminate p
3a² + 6a = 0 ← in standard form
3a(a + 2) = 0 ← in factored form
Equate each factor to zero and solve for a
3a = 0 ⇒ a = 0
a + 2 = 0 ⇒ a = - 2
Since a ≠ 0 then a = - 2
Substitute a = - 2 into either of the 2 equations and solve for p
substituting into (1)
(- 2)² + 6(- 2) + 2p = 0
4 - 12 + 2p = 0
- 8 + 2p = 0 ( add 8 to both sides )
2p = 8 ( divide both sides by 2 )
p = 4
Thus a = - 2 and p = 4
--------------------------------------------
a + 1 = - 2 + 1 = - 1
a - 5 = - 2 - 5 = - 7
If x = - 1 and x = - 7 are roots then the corresponding factors are
(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is
(x + 1)(x + 7) = 0 ← expand left side using FOIL
x² + 8x + 7 = 0
What is the y-intercept of y = -3x
Answer:
0
Step-by-step explanation:
The y-intercept of y = -3x is zero.
Answer:
0
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = -3x
Step 2: Break Function
Identify Parts
Slope m = -3
y-intercept b = 0
*We assume that if the variable isn't there, it is 0 or being multiplied by 0.
I suck at math anybody willing to help me thru it all ? And please answer this it’s due now
Answer:
1
Step-by-step explanation:
they are the exact same, so y=x, or y=1x.
Helpppp !!! Thank you have a great day :)
Answer:
4550$
Step-by-step explanation:
350$ times 13 would give you 4550
mark brainless please <3
Answer:
$4550
Step-by-step explanation:
$350 x 13 = $4550
Have a good day/night
Please please help please
Answer:
AB = BC = 4[tex]\sqrt{2}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle (right isosceles). This means that the side ratio is
1:1:[tex]\sqrt{2}[/tex], where AC is sqrt 2, and AB and BC are 1. Now, we need to plug this into our ratio. If sqrt 2 is 8, then 1 is x.
8/[tex]\sqrt{2}[/tex] = x/1 = x
x = 8/[tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] (rationalized)
AB and BC are both 4 * sqrt 2
The answer is AB = BC = 4√2
A $260 suit is marked down by 30%. Find the sale price.
Answer: $78
Step-by-step explanation:
We start by doing 260 x 30.
260 x 30 = 7800.
Then we divide the product of 260 and 30 by the original percent, which is 100.
7800 divided by 100 = 78.
So the answer is 78
What’s the inverse f(x) = 2x-5
Answer:
25
Step-by-step explanation:
it's so easy to get to know
Step-by-step explanation:
Given
f(x) = 2x - 5
f^-1(x) = ?
we know
Let
y = f(x)
Or y = 2x - 5
Now Interchanging the role of x and y we get
x = 2y - 5
or 2y = x + 5
therefore y = (x+5) / 2
Therefore, f^-1(x) = ( x + 5 ) / 2
Hope it will help :)❤
25 POINTS!! WILL MARK BRIANLIEST
Answer:
4y = 10 degrees, the answer is 2.5. Otherwise, I have no idea what 4y - 10 degrees equals. 0
Step-by-step explanation:
Which table does NOT show a proportional relationship?
1 point
A
B
C
D
OMG HELP OMG HELP OMG HELP
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3 bouquets of 3$ is 3*3 = 3^2
4 bouquets of 2$ = 2 * 4
Select all the systems of equations that have exactly one solution.
y = 3x + 1
y = 3x + 7
y = 3x + 1
y = x+1
y=3x+1
y = 3x + 7
x+y=10
2x+2y=20
x+y=10
x+y=12
Answer:
b) y = 3x + 1
y = x+1
Step-by-step explanation:
Select all the systems of equations that have exactly one solution.
a)
y = 3x + 1
y = 3x + 7
y - 3x = 1.... Equation 1
y - 3x = 7...... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
(y - y ) - (3x - 3x) = 7 - 1
0 = 6
b) y = 3x + 1...... Equation 1
y = x +1...... Equation 2
x = y - 1
We substitute y - 1 for x in Equation 1
y= 3(y - 1) + 1
y = 3y - 3 + 1
y - 3y = -3 + 1
-2y = -2
y = -2/-2
y = 1
Solving for x
x = y - 1
x = 1 - 1
x = 0
x = 0, y = 1,
The Equations in b) have only one solution
c) x+y=10
x = 10 - y
2x+2y=20
We substitute
2(10 - y) + 2y = 20
20 - 2y + 2y= 20
-2y + 2y = 20 - 20
0 = 0
It has no solution
d) x+y=10.... Equation 1
x+y=12..... Equation 2
We solve using Elimination
We Subtract Equation 2 from 1
x - x + y - y = 12 - 10
0 = 2
Item 14 The endpoints of $\overline{AB}$ are $A\left(7,\ 8\right)$ and $B\left(-2,\ 3\right)$ . Find the coordinates of the midpoint M. Coordinates of midpoint M: ( , )
Answer:
(2.5, 5.5)
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as;
M(X, Y) = {(x1+x2/2, y1+y2/2)}
X = x1+x2/2
Y = y1+y2/2
Given the coordinates (7, 8) and (-2, 3)
X = 7-2/2
X = 5/2
X = 2.5
Y = y1 + y2/2
Y = 8+3/2
Y = 11/2
Y = 5.5
Hence the midpoint M of the coordinates is (2.5, 5.5)
how many points did this give you?
f.ck yo 50 points like dafawkkkk