Answer:
A: x=-1
Step-by-step explanation:
Find the value of X in order to prove that the two triangles are congruent by the SSS Congruence Postulate
Answer:
x=2
Step-by-step explanation:
17x-8=11x+4
Add 8 to both sides:
17x=11x+12
Subtract 11 x from both sides:
6x=12
Divide both sides by 6:
x=2
Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.
Side-Side-Side PostulateAccording to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.
Congruent triangles have the same shape as well as the same size.
[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]
This implies [tex]PM,PN[/tex] are same in length.
[tex]17x-8=11x+4[/tex]
[tex]6x=12[/tex]
[tex]x=2[/tex]
So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].
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Help!!!!!!!
Explain how the respiratory system exchanges oxygen and carbon dioxide between the air and the cells in the body. Make sure to mention another organ system that works closely with the respiratory system to accomplish this and specifically where in the body these exchanges take place.
Answer:
Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.
Step-by-step explanation:
Gas exchange takes place in the millions of alveolar in the lungs and the capillaries that envelop them. As shown below, inhaled oxygen moves from the alveolar to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveolar.
Answer:
hope this helps ! <33
Step-by-step explanation:
Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.
A truck driver has a route that takes him 125 miles each way each day that he works. If he makes 15 roundtrips on this route per month, how many miles does he drive the truck per month?
Answer: 3,750 miles
Step-by-step explanation:
Route takes him 125 miles each way so in a day he travels:
= 125 + 125
= 250 miles
He made 15 roundtrips so total miles is:
= 15 * 250
= 3,750 miles
Solve for x
-56 =8(x - 8)
x=
Answer:
-56=8(x-8)
-56=8x-64 +64
8=8x :8
1=x
Step-by-step explanation:
prove me wrong
Answer:
x=1
Step-by-step explanation:
You would do distributive property and multiply 8 by the x and -8
-56=8x-64
The add 64 on both sides
8=8x
divide 8
x=1
Jake rewrites the expression 81x4 – 1 as a difference of squares so he can factor it. Which answer choice shows how Jake could rewrite the expression?
Answer: (9x^2)^2 -1^2
Step-by-step explanation:
Jake rewrite the expression as,
⇒ (3x - 1) (3x + 1) (9x² + 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 81x⁴ - 1
And, Jake rewrites the expression as a difference of squares so he can factor it.
Now, We can rewrite the expression as;
⇒ 81x⁴ - 1
⇒ (9x²)² - 1²
⇒ (9x² - 1) (9x² + 1)
⇒ ((3x)² - 1²) (9x² + 1)
⇒ (3x - 1) (3x + 1) (9x² + 1)
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Sam collects baseball cards. He gave 6 cards to his brother. He then got 4 new cards from his father. Sam now has 12 cards. How many baseball cards did he have before giving some to his brother
Answer:
14
Step-by-step explanation:
If he had 14 then he gave away 6, he'd have 8. 8 plus 4 is 12. He had 14 before giving any away.
What is the calculated interest for $650, with a 3% simple annual interest rate, after 4 years?
Answer:
650/100 X 3 = 19.5
19.50 X 4 = 78
$78
A cable company charges 150 to install equipment. Then there is a $50 charge each month. Write an equation to express this relationship
Triangle ABC with vertices A(-2,5), B(1, -4) & C(6,3)
Reflect across the x-axis. What are the coordinates for B?
I need help plz plz plz!!!!
A local food truck specializes in gourmet grilled cheese sandwiches. Each month, the owners of the truck have a constant total of $7,900 in expenses (salaries, truck loan, etc.) and it costs $1.70 per sandwich to make each sandwich. The food truck sells its sandwiches for $7.75 each.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Fixed costs= $7,900
Unitary cost per sandwich= $1.7
Selling price per unit= $7.75
To calculate the break-even point in units and dollars, we need to use the following formula:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 7,900 / (7.75 - 1.7)
Break-even point in units= 1,306 sandwiches
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 7,900 / (6.05 / 7.75)
Break-even point (dollars)= $10,120
find the equation of a line which passes through (2 4) with a slope of ½
Answer:
The equation of the straight line is x - 2y +6 =0
Step-by-step explanation:
Explanation:-
Given a point ( 2, 4) and slope m = [tex]\frac{1}{2}[/tex]
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x - x₁)
y - 4 = [tex]\frac{1}{2}[/tex] ( x - 2)
2( y -4) = ( x-2)
2 y - 8 = x -2
x - 2 y - 2 + 8 =0
x - 2y + 6 =0
The equation of the straight line is x - 2y +6 =0
The answer is:
y = 1/2x + 5
Work/explanation:
Since I have a point and the slope, I will write the equation in point slope form.
Point slope is
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
where m = slope and (x₁, y₁) is a point on the line
Plug in the data
[tex]\sf{y-4=\dfrac{1}{2}(x-2)}[/tex]
Now let's simplify to slope intercept
[tex]\large\begin{gathered}\sf{y-4=\dfrac{1}{2}x+1}\\\sf{y=\dfrac{1}{2}x+1+4}\\\sf{y=\dfrac{1}{2}x+5}\end{gathered}[/tex]
Hence, the equation is y = 1/2x + 5.Which statements are true about the ordered pair (−1, 5) and the system of equations?
Answer:
Option D is correct answer.
Step-by-step explanation:
We are given the system of equations:
[tex]x+y=4\\x-y=-6[/tex]
Solving the system of equations to find values of x and y
Let:
[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]
Adding both equations to find value of x
[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]
So, we get value of x: x=-1
Now, putting value of x: x=-1 into equation 1 to find value of y
[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]
So, we get value of y: y=5
The ordered pair will be: (-1,5)
So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.
Checking:
Put x=-1 and y=5 in equation 1
[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]
Put x=-1 and y=5 in equation 2
[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]
So, both equations are true.
Therefore, Option D is correct answer.
Write an equation for the line that is parallel to the given line and passes through the given point.
y = 4 x-6;(-2,-21)
Answer:
ll
Step-by-step explanation:
ll
Find the slope of the line containing the points (-2, 1) and (-3, -2)
Sara says, "If you subtract 15 from my number and multiply the difference by -7, the result is -133. What is sara's number
Answer:
39
Step-by-step explanation:
-133/-7=19+15=39
check:39-15=19
19x(-7)=-133
A moving company offers two price plans,
• The first plan charges a flat rate of $39.95 plus $0.12 per mile driven,
• The second plans charges a flat rate of $19.95 plus $0.28 per mile driven
How many miles must the truck be driven for the two plans to cost the same?
Find the exact length of the third side
Answer:
9.9
Step-by-step explanation:
What is the length of a hypotenuse when the legs are 72 and 65?
Answer:
97
Step-by-step explanation:
you square 72 and 65 and add them together then take the square root of your answer aka 97 and thats the hypotenuse
Lisa is buying a computer for $1,500. The sales tax rate is 8.5%. Which expression should be used to calculate t, the total cost for the computer including tax?
Answer:
t=$1627.5Step-by-step explanation:
Step one:
given data
price of computer= $1500
sales tax= 8.5%
Step two
Let us compute the amount in tax
tax= 8.5/100*1500
=0.085*1500
=$127.5
Let the total cost be t
hence
t=1500+0.085*1500
t=1500+127.5
t=$1627.5
4x2 - 7 + 2x - 3x² + 8x - 6
Answer:
(4x2 - 2x) - (-5x2 - 8x)
= 4x2 - 2x + 5x2 + 8x.
= 4x2 + 5x2 - 2x + 8x.
= 9x2 + 6x.
= 3x(3x + 2).
Answer: 3x(3x + 2)
Step-by-step explanation:
Which of the following is a solution to this inquality
Answer:
(0,-2)
Step-by-step explanation:
-7 2/3+ (-5 1/2) + 8 3/4
=
Answer:
-4 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
-4.41666666667
Dan invests £18790 into his bank account. He receives 5.3% per year simple interest. How much will Dan have after 7 years?
Answer: 55
Step-by-step explanation:
67
Which expression represents the calculation the sum of x and 8 is divided by 6
The required expression model is given as x + 8 / 6. Option B is correct.
Given that,
To determine the expression represents the calculation the sum of x and 8 is divided by 6
What are equation models?
The equation model has defined as the model of the given situation in the form of an equation using variables and constants.
here,
According to the question,
The sum of x and 8 = x + 8
divided by 6
= x + 8 / 6
Thus, the required expression model is given as x + 8 / 6. Option B is correct.
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whats the slope of (10,8) and (-15, 18)
Answer:
[tex]m=-\frac{2}{5}[/tex]
Step-by-step explanation:
19/92 written as a percentage
Answer:
20.65%
Step-by-step explanation:
[tex] \frac{19}{92} \\ \\ = \frac{19 \times 100}{92} \% \\ \\ = \frac{1900}{92} \% \\ \\ = 20.6521739 \%\\ \\ = 20.65\%[/tex]
Evaluate m( m + n) - n, use m = 5 and n = -3
plssss show your work thx
A. 7
B. 13
C. 43
D. 37
Answer:
B. 13
Step-by-step explanation:
replace variables
5(5-3)+3
distribute
5(2)+3
multiply
10+3
add
13
Answer:
m (m + n) - n
= 5 (5+(-3)) - (-3)
= 5 (5-3) + 3
= 5 x 2 + 3
= 10+3
= 13
The base of 40-foot ladder is 8 feet from the wall. How high is the ladder on the wall (round to the nearest foot)
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
[tex](40)^2=(8)^2+(h)^2[/tex]
[tex]1600=64+h^2[/tex]
[tex]1600-64=h^2[/tex]
[tex]1536=h^2[/tex]
Taking square root on both sides.
[tex]\pm \sqrt{1536}=h[/tex]
[tex]\pm 39.1918358=h[/tex]
Height cannot be negative. Round to the nearest foot.
[tex]h\approx 39[/tex]
Therefore, the height of the ladder on the wall is 39 foot.
hi waht is m⁵×m⁴ in algebra maths
Answer:
m⁹
Step-by-step explanation:
In such questions , when any two or more numbers with exponents are multiplied and their bases are equal , the exponents of all the numbers add up . So ,
[tex]m^{5} \times m^{4} = m^{5+4} = m^{9}[/tex]
Question 11 of 11 -
Geo S5-6_FSQ_OL_FY21
Question: 1
Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown.
с
D
A
B
E
Which postulate or theorem establishes that the triangles are similar?
Answer:
AA similarity
Step-by-step explanation:
Your question is not well presented.
See attachment
Given
Triangles ABC and DBE
Required
Which postulate supports the similarities of ABC and DBE
At the first transformation (180 degrees rotation) both triangles maintain SSS and AAA relationships. i.e Side-Side-Side and Angle-Angle-Angle
This is so because rotations do not alter the side lengths; neither does it alter the angles.
When the second transformation (dilation) takes place, the lengths of both triangles ABC and DBE become different because dilation alters side lengths.
However, angle measurements remain unaltered.
Hence, AAA similarity answers the question