Answers
Answer:
∠D = 125° and ∠C = 55°
Step-by-step explanation:
We should first solve for variable x, which should give us angle C, and then solve for angle D.
[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°Thus ∠C = 55°
Knowing that supplementary angles add to 180°, we set up the equation:
[tex]55+D=180[/tex][tex]D=125[/tex]°Thus ∠D = 125°
Related Questions
2x+6=x-4
Solve this equation
Answers
The solution and answer are well written in the Pic above.
Answer:
x = 2
Step-by-step explanation:
2x + 6 = x -4
Subtract 6 from both sides
2x = x - 4 +6
2x = x + 2
Subtract 'x' from both sides
2x - x = 2
x = 2
A group of 80 frogs was observed. The mean distance of their hops is 69 inches with a standard deviation of 3.5 inches. How many frogs would you expect to jump more than 72.5 inches?
Answers
Hello,
[tex]z=\dfrac{X-69}{3.5} \\\\For\ X=72.5, \\\\z=\dfrac{72.5-69}{3.5} =1\\[/tex]
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈13 (frogs)
Answer:
12 frogs
Step-by-step explanation:
Hello,
Using table of a normal reduced law:
p(z≤1)=0.8413
Thus p(z≥1)=1-0.8413=0.1587
There are 80*0.1587=12.696 ≈12 (frogs) you don't round up because you cant have .7 percent of a frog.
ps. I copy and pasted caylus's response but corrected their answer because it was correct except the rounding up part.
what are. the coordinates of the quadrilateral STUV when reflected over the X-axis.
S(3,4), T(3,1), U(-2,1, V(-2,4)
Answers
Step-by-step explanation:
hi friend I can help you in this geometry work via Wazapp
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?
Answers
im sorry i dont know the answer
If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10
Answers
Answer:
A.
Step-by-step explanation:
The equation of the new function is g(x) = f(x-10) = (x -10)²
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.
If the quadratic parent function, f(x) = x² moves right 10 units,
Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
Solve for X.
-8x - 4(x - 4) = 88
Please show work
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge x=-6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\-8x-4(x-4)=88\\-------------\\\rightarrow -8x-4x+16=88\\\\\rightarrow -12x + 16 = 88\\\\\rightarrow -12x + 16 - 16 = 88 - 16\\\\\rightarrow -12x = 72\\\\\rightarrow \frac{-12x=72}{12}\\\\\rightarrow \boxed{x=-6}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer: x = -6
Step-by-step explanation: Start by changing the - 4 to plus a negative 4 so that you know you're distributing a -4 through the parentheses.
So we have -8x - 4x + 16 = 88.
Simplifying the left side further gives us -12x + 16 = 88.
Now subtract 16 from both sides to get -12x = 72.
From here it should be easy to find the x = -6.
A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly
Answers
Answer:
1500
Step-by-step explanation:
The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,
[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]
And , the number of tiles required will be ,
[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]
Hence the required answer is 1500 .
p(x),f(x),g(x) are parabolas with positive coefficient, each pair of parabolas got common rational root, how to proof that p(x)+f(x)+g(x) have a rational root?
Answers
Answer:
[tex]{ \tt{p(x) : {y}^{2} = 4ax}} \\ { \tt{f(x) : {(y')}^{2} = 4a {x}'}} \\ { \tt{g(x) : {(y'')}^{2} = 4ax''}} \\ { \bf{since \: they've \: a \: common \: root}} : \\ {y}^{ 2} = {(y')}^{2} = {(y'')}^{2} \\ = > { \tt{4ax + 4ax' + 4ax''}} \\ = 4a(x + x' + x'') \\ common \: root \: is \: 4a \\ { \tt{ \infin {}^{ - } \leqslant 4a \leqslant \infin {}^{ + } }}[/tex]
PLEASE ANSWER IT CORECTLY
Answers
Answer:
Q24=A
25=B
26=A
Step-by-step explanation:
Someone help me with these math problems please !! (It is not obligatory to put the explanation so I save time and you will answer me more quickly please!
Answers
Answer:
Step-by-step explanation:
[tex]\frac{2}{3} * 5 = \frac{2}{3}\frac{3}{2} x \\[/tex]
x = 10/3
Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4
Answers
Answer:
In a product like:
a*b = 0
says that one of the two terms (or both) must be zero.
Here we have our equation:
x^2 + 12 = 7x
x^2 + 12 - 7x = 0
Let's try to find an equation like:
(x - a)*(x - b) such that:
(x - a)*(x - b) = x^2 + 12 - 7x
we get:
x^2 - a*x - b*x -a*-b = x^2 - 7x + 12
subtracting x^2 in both sides we get:
-(a + b)*x + a*b = -7x + 12
from this, we must have:
-(a + b) = -7
a*b = 12
from the first one, we can see that both a and b must be positive.
Then we only care for the option with positive values, which is x =3 or x = 4
replacing these in both equations, we get:
-(3 + 4) = -7
3*4 = 12
Both of these equations are true, then we can write our quadratic equation as:
(x - 3)*(x - 4) = x^2 + 12 - 7x
The correct option is the last one.
Answer:
d
Step-by-step explanation:
Someone please help me ASAP!!! Worth 11 points
Answers
Answer:
A' = (-3, 0)
Step-by-step explanation:
The coordinates of point A are (-6, 2).
The translation adds 3 to x and subtracts 2 from y.
A'(-6 + 3, 2 - 2) = A'(-3, 0)
Answer: A' = (-3, 0)
factor completely 8y2 + 6y + 1
Answers
Answer:
Step-by-step explanation:
8y²+6y+1
=8y²+4y+2y+1
=4y(2y+1)+1(2y+1)
=(2y+1)(8y+1)
solve: 7m + 12 = −4m + 78
Answers
7m + 12 = -4m + 78
7m + 4m = 78 - 12
11m = 66
m = 6
I hope you understand...
Mark me as brainliest...
What is the degree & leading coefficient?
h(t) = 0.2t^3 - 4t^2 +20t
Answers
Answer:
degree=3
coefficient=0.2
Amy earned $25 after babysitting for 3 hours if amy always charges the same rate,how much will she make after babysitting for 7 hours
Answers
Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicatedvalue of x to be less than 0.0001.
Answers
Answer:
Fifth degree polynomial
Step-by-step explanation:
Given data:
e^0.3
error = 0.0001
let the function ; f(x) = e^x
note : x = 0.3
The Maclaurin polynomial f(x) = e^x = 1 + x + x^2 / 2! + x^3/3! --- + ∑ x^n/n!
= 1 + 0.3 + (0.3)^2/2! + (0.3)^3 / 3! --- + ∑ (0.3)^n/n!
Attached below is the remaining part of the solution
Help please? thank you
Answers
Answer:
Answer is A
Step-by-step explanation:
A florist has to pay $7.50 each time a customer chooses a competitor for the delivery of flowers. Which expression
shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00
before any payment is made to their competitors?
0 320-7.500
0 320+ 7.500
7500-320
07500 + 320 help!
Answers
Answer:
320-7.500
Step-by-step explanation:
The fish population of Lake Collins is decreasing at a rate of 5% per year. In 2000 there were about
1,150 fish. Write an exponential decay function to model this situation. Then find the population in
2006.
Answers
Answer:
Number of fish in 2006 = 845 fishes (Approx.)
Step-by-step explanation:
Given;
Number of fish in 2000 = 1,150 fishes
Decreasing rate = 5% per year
Find:
Number of fish in 2006
Computation:
Exponential decay function:
F = P[1-r]ⁿ
Number of year = 2006 - 2000
Number of year = 6 year
Number of fish in 2006 = 1,150[1-5%]⁶
Number of fish in 2006 = 1,150[1-0.05]⁶
Number of fish in 2006 = 1,150[0.95]⁶
Number of fish in 2006 = 1,150[0.735]
Number of fish in 2006 = 845.25
Number of fish in 2006 = 845 fishes (Approx.)
Which is the equation of a line parallel to the line with the equation: y = 14x + 2
y = -4x - 7
y = 4x + 2
y = 14x − 12
y = −14x + 3
Answers
Hi!
y = ax + b
y = 14x + 2 → a = 14 ∧ b = 2
Parallel lines have the same slope factor (a) so line parallel to the line with the equation y = 14x + 2 will be y = 14x - 12
Rewrite the following expression using the properties of rational exponents. Be sure your answer is in simplest form.
Answers
Answer:
12^(3/2)
Step-by-step explanation:
(2x6)^3/2
2x6=12
12^3/2= 41.5692193817
HELP!!!!!!!!!!!!!!!! pls
Answers
Answer: y = 25 - 2x
Step-by-step explanation:
y = mx + b
m = slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{23-25}{1-0} =\frac{-2}{1} =-2[/tex]b = y-intercept = when x = 0 = 25y = -2x + 25
Help and explain !!!
Answers
Answer:
7
Step-by-step explanation:
2(5) -3
10-3
7
Find the measure of the indicated angle
Answers
Answer:
Step-by-step explanation:
This is an isosceles triangle because 2 of the sides are the same length (marked with single slashed through them). The Isosceles Triangle Theorem tells that if 2 sides are congruent to each other, then the angles opposite those sides are congruent to each other as well. That means that the bottom left angle measures 68. According to the Triangle Angle-Sum Theorem, all the angles of a triangle have to add up to equal 180, so:
x = 180 - 68 - 68 so
x = 44
If y = 2x3 - 4x and dx, dt equals 4 , find dy, dt when x = 1. Give only the numerical answer. For example, if dy, dt = 3, type only 3
Answers
Work Shown:
y = 2x^3 - 4x
dy/dt = 2*3*x^2*dx/dt - 4*dx/dt
dy/dt = 2*3*1^2*4 - 4*4
dy/dt = 8
notice how I used the chain rule for step 2.
What is the surface area
Answers
So-
81+81
54+54
54+54
162+108+108
SA: 378 in
Solve this equation : 12p-5=25
write step by step.
Answers
Answer:
P=2.5
Step-by-step explanation:
12p = 25+5
12p = 30
P =30/12
Simplification:
P= 15/6
= 5/2 = 2.5
Step 1: Rewrite equation
For the first step, I find it helpful to simply rewrite the equation, in order to better understand what we will be working with.
12p-5=25
Step 2: Get 12p alone on left side
Our goal in solving this problem will be to find the numerical value of p. To do so, we will need to get p alone on the left side. Our first step will be to add 5 on both sides, to get 12p alone on the left side of the equation. It is only after we do this that we can solve for p.
12p-5=25
12p=30
Step 3: Solve for p
Now let’s find our final answer! We can do so by dividing 12 on both sides, so that 12 is no longer being multiplied by p. This will bring us our answer.
12p=30
p=2.5
This is your answer. P is equal to 2.5. Hope this helps! Comment below for more questions.
Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?
Answers
Answer:
$11.76
Step-by-step explanation:
2.94×4=$11.76
2a is five times bigger than B.
Circle the ratio a:b.
A. 10:1
B. 1:10
C. 5:2
D. 2:5
Answers
Answer:
The answer is 2:5
Step-by-step explanation:
The ratio of the variable a over b will be 5/2. Then the correct oprion is C.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
2a is five times bigger than b. Then the equation is given as,
2a = 5b
The ratio of the a: b is given as,
2a = 5b
a / b = 5 / 2
The ratio of the variable a over b will be 5/2. Then the correct option is C.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
