Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5
Answer:
Solution: {x = 2, y = -1/3}
Step-by-step explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}
The length of the missing sides
Answer:
length-14cm width-7cm
Step-by-step explanation:
To work out the sides, you can use 2l+2w=42. Since the length is twice the width, this becomes 2(2w)+2w=42.
This can be expanded to 4w+2w=42 or 6w=42.
From there, we can divide both sides by 6 to isolate w, meaning w=7.
Since the length is twice the width, it is given by l=2×7 or l=14.
**This question involves writing and solving algebraic equations from worded questions, which you may wish to revise. I'm always happy to help!
simplify the following equation 32m : 2km
Step-by-step explanation:
the answer is in the image above
Name the polygon with seven sides_____
a polygon with seven sides is called a heptagon
Answer:
Hyptagon
Step-by-step explanation:
In geometry, a heptagon is a seven-sided polygon or 7-gon.
The heptagon is sometimes referred to as the septagon, using "sept-" (an elision of septua-, a Latin-derived numerical prefix, rather than hepta-, a Greek-derived numerical prefix; both are cognate) together with the Greek suffix "-agon" meaning angle.
Help pls!! this is a presentation I’m doing in class and I NEED this completed rn, ASAP!!! . What I need is just the answers for the picture below and I NEED the explanation to all of them, and if you can pls try to give a similar example to these and solve it or what did u use to solve it. (Only 1 example that is similar) Thank you so much!
15. 70° because a right angle is 90° and we have the angle of ADB which is 20°. So 90°-20°=70°.
16. 70° because angle PSQ is 60° and angle QSR is 10°. So 60°+10°=70°.
17. 55° because it says it in the explanation. I assume this is a typo and they meant to ask the measurement of ADC and in that case it would be 130° because angle ADB is 75° and angle BDC is 55°. 75°+55°=130°.
18. 40° because angle PSQ is a right angle which means it's 90°. So 130°-90°=40°.
19. 140° because angle ADB is 120° and angle BDC is 20° so 120°+20°=140°.
20. 125° because again it's in the explanation. But if it's a typo and they meant what is the measurement of PSQ then it is 50° because PSR is 125° and QSR is 75° so 125°-75°=50°.
Hope this helps! :)
I need help ASAP. Will give Brainliest.
Answer:
4,5
Step-by-step explanation:
Your welcome! :)
Good Luck!
Answer:
B is 4 and A is 5 --> 4,5
Step-by-step explanation:
Which number is the EXPONENT? 4^2 = 16 *
Answer: 4
Step-by-step explanation:
The exponent in the given number [tex]4^{2}=16[/tex] is 2.
What is exponent?
An exponent refers to the number of times a number is multiplied by itself.
For example, [tex]3^{4}[/tex] means we are multiplying 3 four times. Here the base is 3 and exponent is 4.
According to the question
We have a number
[tex]4^{2} =16[/tex]
Here, we are multiplying 4 two times. So, the base is 4 and the exponent is 2.
Hence, the exponent in the given number [tex]4^{2}=16[/tex] is 2.
Learn more about the exponent here:
https://brainly.com/question/5497425
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Please don't troll!!!!!!!
Answer:
Ben = $ 41
Kaden = $ 31
Step-by-step explanation:
Let initially Ben has $ p and then Kaden has $ (p - 10).
After that
Ben has= $ (p + 4)
Kaden has = $ (p- 10 + 4) = $ ( p - 6)
According to the question,
[tex]p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41[/tex]
Initially Ben has $ 41 and Kaden has $ 31.
Sketch the graph of y = (x + 3)2 – 4 and identify the axis of symmetry.
Answer: Thought I’d return the favor and help u with this question! But anyways, the axis of symmetry is at x = -3.
Explanatio: This can be found by looking at the basic form of vertex form:
y = (x - h)^2 + k
In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = -4. This means the vertex is at (-3, -4).
It is a fact that the axis of symmetry is a vertical line of x = (vertex value of x). So we can determine that the axis of symmetry is at x = -3
i hope this helps u
How do you get 21/2?
Answer:
10 1/2
Step-by-step explanation:
/ = divide
21 divided by 2 is 10 remainder 1 ~ 10 1/2 as a mixed number
21/2 as a improper fraction
Alt Test 7 -6 -5 -4 -3 -2 -1 2 3 1 Le 6 N . 1 -Z -3 -4 รา -6 In this graph, the y-intercept of the line is The equation of the line is y= y X
Answer:
[tex]{ \tt{y = y {}^{x} }} \\ y - intercept : { \tt{y = {y}^{0} }} \\y = 1[/tex]
f(x) = 4x2 – 10x + 2
Find f(-7)
Answer:
f(-7) = 268
Step-by-step explanation:
f(x) = 4x^2 – 10x + 2
Let x = -7
f(-7) = 4(-7)^2 – 10(-7) + 2
Exponents first
f(-7) = 4(49) – 10(-7) + 2
Multiply
f(-7) = 196 + 70 + 2
f(-7) = 268
Which of these four sets of side lengths will form a right triangle?
Set 1
10 cm, 26 cm, 24 cm
Set 2
4 in., 2 in., 6 in.
Set 3
14 mm, 13 mm, 15 mm
Set 4
10 ft, 30 ft, 20 ft
Set 1
Set 2
Set 3
w
O Set 4
Mark this and return
Save and Fyit
Answer:
Set 1
10 cm, 26 cm, 24 cm
Step-by-step explanation:
10² + 24² = 26²
100 + 576 = 676
Simplify fully
a) 8c²d^5 ÷ 2c³d³
b) 9a³b^5 ÷ 3ab²
Answer:
A) 8d^2/3c
B) 3a^2b^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
In exponent division, if base are same , subtract the exponents.
[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\ \frac{a^{m}}{a^{n}}= \frac{1}{a^{n-m}}, m<n[/tex]
a) 8c²d⁵ ÷ 2c³d³ = [tex]\frac{8}{2}* \frac{d^{5-3}}{c^{3-2}}= 4*\frac{d^{2}}{c}= \frac{4d^{2}}{c}[/tex]
b) 9a³b⁵ ÷ 3ab² = [tex]\frac{9}{3}* a^{3-1}*b^{5-2} = 3a^{2}b^{3}[/tex]
The sum of two numbers is 45. One number is 9 more than the
other one. Find the numbers.
Answer:
27+18=45
Step-by-step explanation:
x+y=45
x+9=y
(x+9)+x=45
(18+9)+18=45
27+18=45
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
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.
The sum of the two numbers is 45. One number is 9 more than the other one.
Let the two numbers be 'x' and 'y'. Then the equations are given as,
y = x + 9 ...1
x + y = 45 ...2
From equations 1 and 2, then we have
x + x + 9 = 45
2x = 36
x = 18
The value of the variable 'y' is given as,
y = 18 + 9
y = 27
The value of the two numbers 'x' and 'y' will be 18 and 27., respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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NEED HELP WITH THIS PLEASE. Just show me how please.
Given:
The quadratic equation is:
[tex]-5x^2-3x-2=0[/tex]
To find:
The discriminant of the given equation and the number of real solutions.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the value of discriminant is:
[tex]D=b^2-4ac[/tex]
If D<0, then the quadratic equation has no real roots or two imaginary roots.
If D=0, then the quadratic equation has two equal real roots.
If D>0, then the quadratic equation has two distinct real roots.
We have,
[tex]-5x^2-3x-2=0[/tex]
Here, [tex]a=-5,b=-3,c=-2[/tex]. So, the discriminant of the given equation is:
[tex]D=(-3)^2-4(-5)(-2)[/tex]
[tex]D=9-40[/tex]
[tex]D=-31[/tex]
Since D<0, therefore the number of real solutions is 0.
Hence, the value of the discriminant is -31 and the number of real solutions is 0.
Isabella worked 50 hours over the past two weeks, and she gets paid by the hour. During the first week of the two-week span, she worked 30 hours and got paid $285.00. How much did she get paid during the second week of the two-week span? $114.00 $190.00 $427.50 $475.50
Answer:
$190.00
Step-by-step explanation:
285÷30=9.5
9.5×20=190
Hope this helps! :)
Shem will select a letter at random from the word “PROBABILITY”. Japhet will select a letter at random from the word “STATISTICS”. Who is more likely to pick the letter “I”?
Answer:
The answer to this situation would be that Japhet will be most likely to pick the letter “I.”
Step-by-step explanation:
First, calculate how many letters each word has:
P R O B A B I L I T Y - 11 Letters
S T A T I S T I C S - 10 Letters
Next, calculate how many “I”'s each letter has:
"Probability" has two “I”'s.
"Statistics" has two “I”'s.
Finally, divide the amount of “I”'s in the word by it's letter count:
"PROBABILITY" - 2 “I”'s / 11 Letters ≈ 18%
"STATISTICS" - 2 “I”'s / 10 Letters = 20%
So, Japhet would have the better probability to choose the letter “I.”
Hope this helps!
plsssssssssssss help
Answer:
SSS (Side side side)
Step-by-step explanation:
Simplify........................
Answer:
The answer is 3.
[tex]\longrightarrow{\purple{3}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]
[tex] \\= \frac{(a + b)(6a + b - 7b)}{2( {a}^{2} - {b}^{2}) } [/tex]
[tex] \\= \frac{(a + b)(6a + b - 7b)}{2(a + b)(a - b)} [/tex]
[tex] \\= \frac{6a - 6b}{2(a - b)} [/tex]
[tex] \\= \frac{6(a - b)}{2(a - b)} [/tex]
[tex] \\= 3[/tex]
( OR )
[tex] \frac{(6a + b)(a + b) - 7b(a + b)}{2 {a}^{2} - 2 {b}^{2} } [/tex]
[tex] \\= \frac{6 {a}^{2} + 6ab + ab + {b}^{2} - 7ab - 7 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]
[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} + 7ab - 7ab }{2( {a}^{2} - {b}^{2} )} [/tex]
[tex] \\= \frac{6 {a}^{2} - 6 {b}^{2} }{2( {a}^{2} - {b}^{2} )} [/tex]
[tex] \\= \frac{6( {a}^{2} - {b}^{2} )}{2( {a}^{2} - {b}^{2} )} [/tex]
[tex] \\= \frac{6}{2} [/tex]
[tex] \\= 3[/tex]
Note:[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♬}}}}}[/tex]
30 points for 3 questions plz help I will give brainlist if the 3 answers are correct
Which theorem would be used to write 15x + 12 + 117 = 180 in the diagram below?
a. Alternate Interior Angles Theorem
b. Corresponding Angles Theorem
c. Consecutive Exterior Angles Theorem
d. Vertical Angles Theorem
Answer:
C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent
Answer:
B
Step-by-step explanation:
(a+b)(a-b)=? Đây là hằng đẳng thức nào?
Answer:
không
Step-by-step explanation:
Answer:
(a + b)(a - b) = a² - b²
Step-by-step explanation:
(a + b)(a - b) = a (a - b ) + b (a - b )
= a² - ab + ba - b² [ ab = ba ]
= a² - ab + ab - b² [ ab - ab = 0 ]
= a² - b²
how many ways can Aileen choose 2 pizza toppings from a menu of 19 toppings if each topping can only be chosen one
Answer:
There are 342 different combinations.
Step-by-step explanation:
Ok, Aileen is choosing toppings for a pizza.
She can choose two.
There are 19 options that can be chosen once.
The first thing we need to do, is find all the "selections".
Here we have two selections:
Topping number 1
Topping number 2.
Now we need to find the number of options for each one of these selections:
Topping number 1: Here we have 19 options.
Topping number 2: Here we have 18 options (because one was already taken in the previous selection)
The total number of combinations is equal to the product between the numbers of options.
C = 19*18 = 342
There are 342 different combinations.
If x= 3 what is the value of 50 - 2x?
50 - 2x; x = 3
____________________
50 - 2(3)
= 50 - 6
= 44
15 pages in 2 days ___ in 1 day
Answer:
7.5 pages.
Step-by-step explanation:
You divide 15 by 2 to work out 1 day.
Answer:
7.5 pages in 1 day
Step-by-step explanation:
In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: X= 25 degrees
Step-by-step explanation:
A triangle is 180 degrees.
115+40=165
180-165=25 degrees
2
3
4
5
8
10
TIME REMAINING
49:29
C D
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually.
What multiplicative rate of change should Hal use in his function?
0.02
0.98
01.02
1.98
Save and Exit
Answer: .98
Step-by-step explanation:
The average temperature of Kopikoville was reported to be - 23° last year. This year, the average temperature of Kopikoville rose by 6°. Which of the following is true about this year's average temperature of Kopikoville? A. This year's average temperature of Kopikoville is - 29°. B. This year's average temperature of Kopikoville is - 17°. C. This year's average temperature of Kopikoville is 17°.
BRAINLIEST!!! PLEASE IF SOMEONE COULD ANSWER MORE OF THESE LAST QUESTIONS AND DO ME A BIG FAVOUR I WILL GIVE LOTS OF POINTS AND BRAINLIEST!
45 min is answer
Step-by-step explanation:
trim of 4 people = 60 min
trim of 1 people = 60/4
= 15
trim of 3 people in = trim of one people × no of people
15×3=45 min