Statement Reason
1. 3x + 7 = ∠2 (Vertically opposite angles)2. ∠2 = ∠5 (Corresponging angles)3. ∠5 = ∠6 (Vertically opposite angles)⇒ ∠2 = ∠5 = ∠6 = 3x + 7
Looking at the picture, we can see that ∠6 and 4x + 5 are a linear pair.
Finding the value of x:
⇒ ∠6 + 4x + 5 = 180
⇒ 3x + 7 + 4x + 5 = 180
⇒ 7x + 12 = 180
⇒ 7x = 180 - 12
⇒ 7x = 168
⇒ 7x/7 = 168/7
⇒ x = 168/7 = 24
Now, substitute the value of x into the expression "3x + 7" to find ∠6.
Finding the measure of ∠6:
⇒ ∠6 = 3x + 7
⇒ ∠6 = 3(24) + 7
⇒ ∠6 = 72 + 7
⇒ ∠6 = 79°
If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?
Answer:
The green line is LM
The red line is JM
The blue point is at the coordinates (2/3, -14/3)
Step-by-step explanation:
What is the length of b in the triangle?
Answer:
8 in
Step-by-step explanation:
[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]
PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?
__ tons
Give total of tons correctly
25.323=36*8 divided by 12
Answer:
False
Step-by-step explanation:
[tex]36 \times 8 = 304[/tex]
[tex]304 \div 12 = 25.333[/tex]
[tex]25.323=25.333[/tex]
Hence, the equation is false.
Can you answer this one please
Step-by-step explanation:
2 inches = 3 feet
x inches = 12 feet
[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]
Answer:
[tex] \bf \boxed {x=8} [/tex]
Step py step explanation:
2 inces ........ 3 feet
x inces ......... 12 feet
⇒ x = 12 • 2 /3
x = 24/3
x = 8
______
factorise fullythe following
7x^3-35x
4x^3+24x^2
[tex]7x(x^2-5)[/tex]
Step-by-step explanation:
[tex]7x^3-35x[/tex]
Factor Greatest Common Factors out
[tex]7x(x^2-5)[/tex]
I hope this helps you
:)
The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].
2
8
11
13
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so
[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]
[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer:
your answer would be 2035.75ft³
Helllllllllpppppppppp
Answer:
C
Step-by-step explanation:
Literally just do the work yourself man...
120 eggs from 20 chicken
Answer:
10 eggs per chicken
Step-by-step explanation:
if you divide you get 10 eggs per
The equation y=-3x² describes a parabola. Which way does the parabola open?
A. Left
B. Right
C. Up
D. Down
what is the mean for 98,78,84,75,91
please help please help
Answer:
1/16 meters
Step-by-step explanation:
perimeter of a square = 4 x length of each side,
so the length of each side is (1/4)/4 = 1/16 meters
Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees
Answer:
Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)
What is the value of 5.7 x 1089
Answer:
570,000,000 is the answer hope this helps ^^
Step-by-step explanation:
Answer:
6,207.3
Step-by-step explanation:
=> 5.7 x 1089
multiply 1089 by 5.{=[tex]6,207.3[/tex]
What are the answers??
Answer:
1. $180
$43,187
$23,187
2. $335
$100,703
$60,703
3. $341
$81,798
$41,798
I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.
Please help me
I'll give brainiest
Answer:
One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?
Step-by-step explanation:
11. The smaller the
absolute value of a
the
negative number, the
number is.
A larger
B smaller
C farther from zero
Answer:
B. Smaller
Step-by-step explanation:
This is because absolute value doesn't matter about negative or positive
A rectangular city is 2 miles long and 7 miles wide. What is the distance between opposite corners of the city? The exact distance is ______________ miles How far is it to the closest tenth of a mile? Answer: The distance is approximately ___________ miles.
Answer:
√53 ≈ 7.3 miles
Step-by-step explanation:
The Pythagorean theorem can be used to find the length of a diagonal of a rectangle. The diagonal is effectively the hypotenuse of a right triangle with leg lengths equal to the side lengths of the rectangle.
__
If c represents the distance between opposite corners, and 'a' and 'b' represent the length and width of the city, then we have ...
c² = a² +b²
c² = 2² +7² = 53
c = √53 . . . . . exact corner-corner distance in miles
c ≈ 7.3 . . . . . . approximate corner-corner distance
The exact distance is √53 miles; to the nearest tenth, the distance is approximately 7.3 miles.
solve the inequality and state the answer in interval notations 3x-7 ≤ 14
Answer:
Step-by-step explanation:
3x-7 ≤ 14
3x≤ 14+7
3x≤ 21
x≤ 21/3 = 7
=> x = (-∞;7]
That means that x can be any negative number and any positivi number (1,2,3...7)
PLEASE ANSWER FAST!!!
slope of the line that contains (-8,2) , (7,-4)
Answer:
[tex]\mathsf{slope=-\dfrac25}[/tex]
Step-by-step explanation:
[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]
[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]
[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]
Answer:
-2/5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(7-(-8))
m=-6/(7+8)
m=-6/15
simplify
m=-2/5
1
Ramsey has 16 books to read for AR.
1/8 of the books are biographies.
1/4 of the books are fantasy.
The remaining books are adventure books.
How many of the AR books are adventure
books?
Answer:
10
Step-by-step explanation:
1/8 of 16 is 2
1/4 of 16 is 4
2+4=6
16-6=10
Food poisoning occurs when bacteria like Salmonella and Listeria grow on food. These microorganisms grow at an
exponential rate. When an initial population of 100 bacteria are left at 98.6°F, they will grow at a rate of b= 100(8)". Which
graph could be used to calculate the number of bacteria after a certain number of hours?
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Let y represent the amount of bacteria after x hours. Hence:
y = 100(8)ˣ
The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ
Find out more on exponential function at: https://brainly.com/question/12940982
Answer:
its c third graph
Step-by-step explanation:
right on edge
Jessie is following a chocolate milk recipe that requires of 2 cups milk and 5 tablespoons of cocoa powder. He wants to make a large batch. How many cups of milk does he need if the batch requires 40 tablespoons of cocoa powder?
Step-by-step explanation:
5 tablespoons = 2 cups milk
1 tablespoon = 2/5 cups milk
40 tablespoons = 2/5 × 40 = 16 cups milk
Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?
Answer:
The correct option is A
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 0.8 \ pounds[/tex]
The standard deviation is [tex]\sigma = 0.25 \ pounds[/tex]
Generally the the probability that a randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as
[tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]
=> [tex]P(0.55 < X < 1.3) = P( -1 < Z < 2 )[/tex]
So looking the option of normal curves given in the question we see that it is option A that matches our interval
7. A student is paid K50 for each day he works and fined K25 for each day he failst work. After 20 days, he is paid K700. For how many days has he worked?
Answer:
14
Step-by-step explanation:
The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.
So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.
What would be the answer of 5(x-2)=30 in dustributive property
Answer:
x = 8
Step-by-step explanation:
5(x-2)=30
Distribute
5x- 10 = 30
Add 10 to each side
5x-10+10 = 30+10
5x= 40
Divide by 5
5x/5=40/5
x = 8
Answer:
x=
Step-by-step explanation:
using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10
5(x-2)=30
5x-10=30
5x=40
x=8
help plss help me find the awnser
Answer:
3) D
5) C
3) 6m+5n-m --> 6(5)+5(3)-(5)
30+15-5 --> 45-5 --> 40
5) 4(x+4)+2
4x + 16 +2
4x +18
Answer:
3)
Given:
m = 5
n = 3
We plug in these values into our equation (6m + 5n - m);
6m + 5n - m
Now modified, would be:
6(5) + 5(3) - 5
30 + 15 - 5
45 - 5
= 40
5)
If we simplify this expression,
4(x + 4) + 2
We use the distributive property to multiply 4 to both x and 4 which are in the brackets.
Which will now be;
4x + 16 + 2
Now we combine like terms (our constants):
(16 + 2) = 18
So it would be, now:-
4x + 18, C is your answer.