Answer: x=2
Step-by-step explanation:
The diagonals of a rectangle are equal.
Therefore AC=BD,
7x-4=10
7x=10+4
7x=14
x=14÷7
x=2
PLEASE HELP 45 POINTS!!!!!
Answer:
[tex]\sf x = 5[/tex][tex]\sf DF = 12[/tex]setting up proportionality equation:
[tex]\sf \dfrac{big-side}{big-diagonal} = \sf \dfrac{small-side}{small-diagonal}[/tex]
[tex]\sf \hookrightarrow \dfrac{7}{16+x+7} = \dfrac{4}{16}[/tex]
[tex]\sf \hookrightarrow \dfrac{7}{23+x} = \dfrac{4}{16}[/tex]
[tex]\sf \hookrightarrow 4(23+x) = 112[/tex]
[tex]\sf \hookrightarrow 92 + 4x = 112[/tex]
[tex]\sf \hookrightarrow 4x = 112- 92[/tex]
[tex]\sf \hookrightarrow 4x = 20[/tex]
[tex]\sf \hookrightarrow x = 5[/tex]
Find DF:
[tex]\hookrightarrow \sf x + 7[/tex]
[tex]\hookrightarrow \sf 5 + 7[/tex]
[tex]\hookrightarrow \sf 12[/tex]
Answer:
We see 2 congruent triangles: Triangle DBC and FEC. Let's set up a proportion to find the value of x and length of DF.
[tex]\frac{BE+EC}{DF+FC} =\frac{EC}{FC}[/tex]
[tex]\frac{3+4}{(x+7)+16} =\frac{4}{16}[/tex]
Cross multiply and solve for x.
[tex](3+4)*16=((x+7)+16)*4[/tex]
[tex]7*16=(x+23)*4[/tex]
[tex]112=(x+23)*4[/tex]
[tex]28= (x+23)[/tex]
x= 5
Now to solve for the length of DF, plug in x into DF.
DF=(x+7)
DF=(5+7)
DF= 12
what are the angles ?????
Answer:
i don't know any of it so sorry
step by step explanation
Which of the following situations are equal to 75%? Select all that apply.
A) 9 out of 12
B) 27 out of 36
C) 4 out of 8
D) 60 out of 80
E) 15 out of 25
Answer:
A) 9 out of 12
Step-by-step explanation:
The first step is to divide 9 by 12 to get the answer in decimal form:
9 / 12 = 0.7500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.7500 * 100 = 75.00%
We can prove that the answer is correct by taking 75.00 percent of 12 to get 9:
(12 x 75.00)/100 = 9
Complete the numerical series.
1.4 , 8 , 10 , 20 , 22 , 44 , 46 , ___, ___, ___,
2.1 , 2 , -1 , -3 , -7 , -21 , -25,___, ___, ____,
3.0 , 1 , 1 , 2 , 3 , 5 , 8 , ___, ___, ____,
4.4, 12, 16 , 48 , 52 , 156 , 160 , ____, ____ , ____,
5.9 , 12 , 7 , 10 ,5 , 8 , 3 , ___, ___, ____,
6.16 , 22 , 19 , 25 , 22 , 28 , 25 , ___, ____, ____,
7.4 , 12 , 16 , 48 , 52 , 156 , 160 , ___, ___, _____,
8.4 , 8 , 1 , 2 , -5 , -10 , -17 , ____,____,____,
9.22, 28 , 21 , 27 , 20 , 26 , 19 , ____, _____, _____,
10.1 , 2 , -4 , -8 , -14 , -28 , -34 , ____, ______, _____
Step-by-step explanation:
1.
double, +2, double, +2, ...
, 92, 94, 188
2.
I think you made a mistake with the second number. based on the following numbers the number sequence seems to be
1, 3, -1, -3, -7, -21, -25,
and then the pattern is
times 3, minus 4, times 3, minus 4 ...
, -75, - 79, -237
3.
sum of the previous 2 numbers (Fibonacci numbers)
, 13, 21, 34
4.
times 3, plus 4, times 3, plus 4, ...
, 480, 484, 1452
5.
plus 3, minus 5, plus 3, minus 5 ...
, 6, 1, 4
6.
plus 6, minus 3, plus 6, minus 3 ...
, 31, 28, 34
7.
the same as 4.
8.
times 2, minus 7, times 2, minus 7 ...
, -34, -41, -82
9.
plus 6, minus 7, plus 6, minus 7 ...
, 25, 18, 24
10.
times 2, minus 6, times 2, minus 6 ...
, -68, -74, -148
6x+9(-5x-3) combining like terms
6x + 9(-5x-3) = 6x + 9*(-5x) + 9*(-3) = 6x -45x - 27 = -39x - 27
Hope that helps!
I think the question should be as follow:
➙ 6x + 9 - ( 5x - 3 )
➙ 6x + 9 - 5 x + 3
➙ 6x - 5x + 9 + 3
➙ x + 12
➙ x = -12
Anyways I've also solved according to the provided question:
ㅤㅤㅤ➙ 6x + 9 (-5x - 3 )
ㅤㅤㅤ➙ 6x - 45x - 27
ㅤㅤㅤ➙ - 39 x - 27
Further, we can solve for x ;
ㅤㅤㅤ➙ - 39 x - 27 = 0
ㅤㅤㅤ➙ - 39 x = 0 + 27
ㅤㅤㅤ➙ x = - 27 / 39
➲ More information:
Terms that have same identical variables, and same exponents parts are called like terms. To simplify these terms, you use addition and subtraction by combining the ' like terms '
Edgar is a real estate agent. He earns a 5% commission for every house he sells. Last month Edgar sold three homes. He sold one for $110,000, another for $65,000 and a third house for $78,000. How much did Edgar receive in commission by selling these three homes?
Summing up all the amount in commission made from the three sales we have
= 5500+3250+3900
=$12,650
Percentage of AmountGiven Data
Commission Rate = 5%Amount made from $110,000= 5/100*$110,000
= 0.05*$110,000
= $5500
Amount made from $65,000= 5/100*$65,000
= 0.05*$65,000
= $3250
Amount made from $78,000= 5/100*$78,000
= 0.05*$78,000
= $3900
Learn more about percentages here:
https://brainly.com/question/19247356
A rectangle has an area of (4x2 + 10) square inches. The length of the rectangle is (2x2 + 5) inches.
How many inches is the width of the rectangle?
Answer:
Area of the rectangle = 4x^2+8x = 4x(x+2)
So if the length is (x+2), the width of the rectangle = 4x(x+2)/ (x+2) = 4x.
The length is > the width, so
x+2 > 4x, or
2 > 3x, or
(2/3) > x or
x < (2/3).
Say x = 5/9 which is < 2/3, the length = 2 + 5/9 or 23/9 and the width =20/9, which is logical.
i need help graphing this
Answer:
i put below. if you have a smart website (i dont know how to say it) then all you need is two points
Step-by-step explanation:
all you have to do is find two points
pick any points
lets say x = 0 and x = 2
y = -2(0) + 7
y = 7
(0,7)
y = -2(2) + 7
y = -4 + 7
y = 3
(2, 3)
then graph
A ladder is leaning against the top of
a building. If the ladder is 12.5 m long and
3m from the base of the building, what is
the angle of elevation from the ladder to
the top of the building?
Answer:
Step-by-step explanation:
Discussion
You are working with the Cosine of the angle.
Hypotenuse = 12.5
Base = 3
Theta = ?
Solution
Cos(theta) = base / hypotenuse Substitute values
Cos(theta) = 3 / 12.5 Divide
Cos(theta) = 0.24 Tale the inverse cos
theta = cos-1(0.24)
theta = 76.11 degrees
Work Shown:
Check out the diagram below for the triangle drawing, and also the steps needed to find the angle.
what is squre root of 8
Answer:
2.838
Step-by-step explanation:
put it in the calculator.
Use the drawing tools to form the correct answer on the graph. Graph this function. f(x) = -1/3x + 8.
No image provided. It's a standard 10 by 10 graph on edmentum.
Answer:
Rewrite the function as an equation.y=−x/ 3+ 8
y=-x3+8
Rewrite in slope-intercept form. y = −1/3x+8. Use the slope-intercept form to find the slopeand y-intercept. Slope: −1/3 intercept: (0,8)(0,8) Find the values of mm and bb using the form y=mx+b
Any line can be graphed using two points. Select two xx values, and plug them into the equation to find the corresponding yy values. Graph the line using the slope and the y-intercept, or the points.Slope: −1/3
y-intercept: (0,8)
Please Help me with this Question
ASAP this is due in 10 mins.
Answer: Will need 7 week of time to afford a car worth 1932
Step-by-step explanation:
Missing information : car is worth 1932
Will works 7 hours day, 6 days a week.
=> Number of hours worked in a week = 7 * 6 = 42 hrs
paid 9.20 an hour
=> will Weekly payment = 42 *9.2 = 386.4
will : mum = 5:2.
=> Will share = (5/7) * 386.4 = 276
car is worth 1932
Number of Weeks taken by will to afford a car = 1932/276 = 7
divide 40 into ratio of 5:2
The ratio of monthly income to the saving of a family is 5:2.
Find the length of side x.
Answer:
17
..
...
....
....
....
..
What is the sum? startfraction 3 over x squared minus 9 endfraction startfraction 5 over x 3 endfraction startfraction 8 over x squared x minus 6 endfraction startfraction 5 x minus 12 over x minus 3 endfraction startfraction negative 5 x over (x 3) (x minus 3) endfraction startfraction 5 x minus 12 over (x 3) (x minus 3)
The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
The expressions are given below.
[tex]\rm \dfrac{3}{x^2 - 9} \ and \ \dfrac{5}{x+3}[/tex]
The sum of the expressions will be
[tex]\rm \dfrac{3}{x^2 - 9} + \dfrac{5}{x+3}[/tex]
We know that the formula
a² – b² = (a + b)(a – b)
Then we have
[tex]\rm \dfrac{3}{x^2 - 3^2} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3}{(x-3)(x+3)} + \dfrac{5}{x+3}\\\\\\\rm \dfrac{3+5(x-3)}{(x-3)(x+3)} \\\\\\\dfrac{3+5x-15}{(x-3)(x+3)} \\\\\\\dfrac{5x-12}{(x-3)(x+3)}[/tex]
The addition of the expression 5/(x² – 9) and 3/(x + 3) is (5x – 12)/[(x + 3)(x – 3)]. Then the correct option is D.
More about the fraction number link is given below.
https://brainly.com/question/78672
Helppppppppppppppppppppppppp
Let us first put what we see in the image into words
--> 3 of the p-values equals 1/2
Now let us put that in an equation
--> [tex]3p = \frac{1}{2}[/tex]
Hope that helps!
help make me do it now ok
Answer:
44°
.
......
...............
Find the length of side
x
x to the nearest tenth.
Answer:
above is the solution to the question
Answer:
Step-by-step explanation:
The ratio of sides of 30 -60 -90 triangle is : a : a√3 :2a
2a = 5
a = 5/2 = 2.5
x = a*√3
= 2.5√3
= 2.5 * 1.732
= 4.3
x= 4.3
The trinomial 2x2 13x 6 has a linear factor of x 6. 2x2 13x 6 = (x 6)(?) what is the other linear factor? x 3 x 6 2x 1 2x 3
The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].
The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex]. we need to find another linear factor say X.
[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)[/tex]
what is a linear factor?The linear factor of the polynomial is the first-degree polynomial equations represented as [tex]\rm ax+b[/tex] and cannot be factored further.
So, the other factor X can be calculated as,
[tex]\rm 2x^{2} +13x+6 = \rm (x+6)(X)\\\rm 2x^{2} +13x+6\div \rm (x+6)=X\\\rm (x+6)\times \rm (2x+1)\div \rm (x+6)=X\\X=\rm (2x+1)[/tex]
Therefore, The Trinomial [tex]\rm 2x^{2} +13x+6[/tex] has a linear factor [tex]\rm (x+6)[/tex] and the other linear factor is [tex]\rm (2x+1)[/tex].
learn more about the factorization of polynomials here;
https://brainly.com/question/26354419
can you still help me out still im giving good points away
Answer:
x = 60 degrees.
Step-by-step explanation:
The sides are all equal to one another, so that means that it is an equilateral triangle. An equilateral triangle's angle measures are always 60 degrees.
[tex]Hello,BrainlyUser][/tex]
Answer:
x = 60
Step-by-step explanation:
Since the triangle in the picture is a equilateral triangle. If you don't know what a equilateral triangle.. I will explain to you; An equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
Thus, we can infer that x = 60.
[CloudBreeze]
I need help with numbers 12 and 13. Pls help I really appreciate it. The instructions are to fill in the missing term to make a perfect square trinomial BRAINLY FOR THE CORRECT ANSWER !!!!!!!!!!!!!!!!! 10 POINTS!!!!!!!!!
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~
81x² + _______ + 49 =
( 9x )² + _______ + 7² =
( 9x )² + 2 ( 9x )( 7 ) + 7² =
( 9x )² + 126x + 7² = ( 9x + 7 )²
-------------------
9b² - _______ + 36 =
( 3b )² - _______ + 6² =
( 3b )² - 2( 3b )( 6 ) + 6² =
( 3b )² - 36b + 6² = ( 3b - 6 )²
Members of a parenting organization want to use a two-sample t test to determine whether the average tuition for private schools in their state is significantly different for high school students than for elementary students. They plan to take tuition estimates from random samples of 10 schools serving each level.
Which of the following are conditions for this type of test?
A. Only sample from schools that include both elementary and high school.
B. The tuition estimates in each group are approximately symmetric with no outliers.
C. There are approximately equal numbers of private elementary schools and high schools in the state.
The conditions for this type of test is that The tuition estimates in each group are approximately symmetric with no outliers.
What are outliers?These are the values in a statistical research that lies in positions that are way off from the values used in the data set.
There would be no outliers used here because all of the tuition estimates would be closely related for the schools.
Read more on outliers here:https://brainly.com/question/3631910
please help i don’t understand
Answer:
b
Step-by-step explanation:
What is the value of t?
Answer:
I messed up. Please delete this 'answer'
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS
Answer:
The angle CAD is 60° (As seen on the markings of the protractor.) and any angle that is less then 90° is acute. So this is an acute angle.
find the value of x.
Answer:
x = 5
Step-by-step explanation:
Two secants have equal ratios when (in this case) they are split up as
AB * AC = AD*AE
Givens
AB = x-2
AC = (x - 2 + x+ 4) = 2x + 2
AD = 4
AE = 5 + 4 = 9
Substitute and solution
(x - 2) (2x + 2) = 4 (9) Expand the left, Combine the right
2(x^2 - x - 2) = 36 Divide both sides by 2
x^2 - x - 2 = 18 Subtract 18 from both sides
x^2 - x - 2 - 18 = 18 - 18 Combine
x^2 - x - 20 = 0 This factors
(x - 5)(x + 4) = 0 Only one of these factors works
x - 5 = 0 Add 5 to both sides.
x = 5
Leila drove 756 miles in 12 hours. At the same rate, how many miles would she drive in 5 hours?
Cananyone help me? Please and Thank you!!
Answer:
R=12.56
Step-by-step explanation:
radius is the center to side or half of the circumference 25.12/2=12.56
How many like terms are in the expression? 14 x minus 14 y + 7 minus x + z + 2 x 0 2 3 5ement best describes Japan’s economy under military rule? The economy improved because the country expanded their military power. The economy struggled because the military spent money to increase its power. The economy improved because the military gave people jobs during the depression. The economy struggled because people joined the military rather than working other jobs.
Answer:
14x - 14y + 7 - x + z + 2x
There are three like terms in this expression, I made them bold for you.
Like terms are terms that have the same variable and power.
Round to the nearest degree
Answer:
99°
Step-by-step explanation:
180-(63+8) = 99°...........
can anyone solve this?
6÷2(1+2)=
Answer:
9
Solving steps:
=> 6÷2(1+2)
divide 6 by 2
=> 3(1+2)
add values inside the bracket
=> 3(3)
multiply 3 by 3
=> 9
Answer:
9
Step-by-step explanation:
Use parenthesis, exponents, multiplication, division, addition, and subtraction, witch stands for PEMDAS.
1. 1+2 is the first step, since it is in the parenthesis. This gives you 3
2. You do 6÷2, since that is the next step. Since the operations are from left to right , you move on the next step, witch is divison. This also gives you 3.
3. You do the final step, witch is to multiply, so you do 3 x 3 , witch gives you 9.