Answers
Answer:
The answer is A. 10
Step-by-step explanation:
The two angles are alternate interior angles so they are congruent. Since they are congruent, you can write it in an equation.
5x - 25 = 3x - 5
subtract 3x from each side
2x - 25 = -5
add 25 to each side
2x = 20
divide 2 from each side
x = 10
Also, if you want to check your answer, you can plug 10 back into the equation to see if they're equal.
The relation between the given angles is given by the alternate interior
angles theorem.
If lines p and q are parallel then the value of x is A. 10°
Reason:
The given parameters are;
Condition; Line p, and line q, are parallel.
The angles (3·x - 5)° and (5·x - 25)° are alternate interior angles.
According to alternate interior angles theorem, we have the alternate
angles are congruent, where line p, and line q are parallel.
Therefore;
(3·x - 5)° ≅ (5·x - 25)° By alternate interior angles
(3·x - 5)° = (5·x - 25)° By definition of congruency
Solving, we get;
(3·x - 5)° + 25° = (5·x - 25)° + 25°
3·x + 20° - 3·x = 5·x - 3·x = 2·x
20° = 2·x
[tex]x = \dfrac{20^{\circ}}{2} = 10^{\circ}[/tex]
The correct option is A. 10°
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Related Questions
define the word triangle
Answers
A plane 2-dimensional figure with three straight sides and three angles.
Answer:
The definition of triangle is a plane figure with three straight sides and three angles. Hope that's work.The shortest leg of a right triangle measures 9 centimeters and the hypotenuse measures 3 centimeters more than the longer leg. Find the length of the hypotenuse. Use the Pythagorean Theorem Formula.
I'm not sure how to set this up
Answers
Answer:
The triple is 9, 12, 15
The hypotenuse is 15.
Step-by-step explanation:
Pythagorean Theorem Formula: a²+b²=c² where a & b are the short legs and c is the hypotenuse.
9²+b²=(b+3)²
81+b²=(b+3)²
Small list of the Pythagorean Triples that contain 9:
9,12,15
9,40,41
So as you can see, there are only 2 examples in my list that contain 9 in them. The only one that fits our criteria is the triple, 9, 12 and, 15
You don't need to use the Pythagorean Formula for this as I have just proved.
Answer:
12 cm
Step-by-step explanation:
I don't think u have to use the phytagores theorem b/c the hypotenuse is 9+3=12. but if u have to use this.
[tex] {?a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {9}^{2} + {b}^{2} = {9 + 3}^{2} [/tex]
[tex]81 + {b}^{2} = 9(9 + 3) + 3(9 + 3)[/tex]
[tex]81 + {b}^{2} = 81 + 54 + 9[/tex]
[tex]81 + {b}^{2} = 144[/tex]
[tex] {b}^{2} = 144 - 81 = 63[/tex]
[tex] {b}^{2} = \sqrt{53} = b = 7.93[/tex]
so if u found b then u can find c by using the same formula.
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {9}^{2} + {7.93}^{2} = {c}^{2} [/tex]
[tex]81 + 63 = {c}^{2} [/tex]
[tex] {c}^{2} = 81 + 63 = 144[/tex]
[tex] \sqrt{c} = \sqrt{144} [/tex]
[tex]c = 12[/tex]
A car with 16 gallons of gas drives 416 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Answers
Which of the following terms have a GCF of 6x^3? Select two options. 12p^3r 27p^4q 45p^3q^6 54p^3 63p^3q^6
Answers
Answer:
A. and D. are correct
Step-by-step explanation:
The correct answers are Option A, Option D.
The terms which have the GCF of [tex]6x^3\\[/tex] are [tex]12p^3r[/tex] and [tex]54p^3[/tex].
Given data:
To find the greatest common factor (GCF) of the given terms, we need to find the highest power of x that divides into all the terms and the highest power of p that divides into all the terms.
For [tex]12p^3r[/tex] , the highest power of x that divides into this term is [tex]x^0[/tex](since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]
For 54p^3, the highest power of x that divides into this term is [tex]x^0[/tex] (since x^0 = 1), and the highest power of p that divides into this term is [tex]p^3[/tex]. Therefore, the GCF is [tex]1 * p^3 = p^3.[/tex]
Hence, the terms are [tex]12p^3r[/tex] and [tex]54p^3[/tex].
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given two consecutive numbers, we are told that twice the first number is twelve more than the second number. What are the two numbers?
Answers
Answer: The numbers are 13 and 14
Step-by-step explanation:
Since they are two consecutive numbers, let the numbers be x and x+1.
We are told that twice the first number is twelve more than the second number. This can be expressed as:
2 × x = x+1+12
2x = x+13
2x-x = 13
x = 13
Since x = 13, x+1 = 13+1 = 14
The numbers are 13 and 14
Here is a list of numbers:
8.4, 6.2, 8.8, 1.5, 0.5, 1, 5.4, 3.3, 2.2
State the median.
I need help ASAP
Answers
0.5, 1, 1.5, 2,2, 3.3, 5.4, 6.2, 8.4, 8.8
Therefore, the median is 3.3.
Hope this helps!
Observa las figuras y contesta lo siguiente de cada figura ¿cuantos cubos la forman? ¿Cuantos cubos tiene de alto? ¿Cuantos cubos tiene de largo? ¿Cuantos cubos tiene de ancho?
Answers
Answer:
The figures are shown in the image attached.
Figure 1.Notice that the figure is a cube with side of 3 cubes long. That means the total number of cubes that form the figure are
[tex]V=3^{3}=27[/tex]
27 cubes in total.
Its height is formed by 3 cubes.
Its length is formed by 3 cubes.
Its width is formed by 3 cubes.
Figure 2.
The second figure has:
Its height formed by 5 cubes.
Its length formed by 1 cube.
Its width formed by 3 cubes.
Which gives: [tex]V= 5 \times 1 \times 3 = 15[/tex]
There are 15 cubes in total.
Figure 3.The third figure has
Its height formed by 3 cubes.
Its length formed by 2 cube.
Its width formed by 3 cubes.
Which gives: [tex]V= 3 \times 2 \times 3 = 18[/tex]
There are 18 cubes in total.
Figure 4.The fourth figure has
Its height formed by 1 cubes.
Its length formed by 2 cube.
Its width formed by 7 cubes.
Which gives: [tex]V= 1 \times 2 \times 7 = 14[/tex]
There are 14 cubes in total.
x^2+6x+8=0
someone help me with the equation. i’m super confused and don’t know if i’m doing it right
Answers
Answer:
I think the answer is (x + 4) • (x + 2)
Step-by-step explanation:
First multiply the coefficient of the first term by the constant
Step 2: Find two factors of 8 whose sum equals the coefficient of the middle term 6
Step 3: write the polynomial splitting the middle term using the two factors found in step 2
Step 4: Add up the first 2 terms, pulling out like factors :
x • (x+2)
Add up the last 2 terms, pulling out common factors :
4 • (x+2)
Step 5: Add up the four terms in step 4
(x+4) • (x+2)
Your final answer is (x + 4) • (x + 2)
How do you solve an standard form/ intercept in y=4x-10 ¿? Help me plzzzz :/
Answers
Answer:
Slope = 8.000/2.000 = 4.000
x-intercept = 10/4 = 5/2 = 2.50000
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
y= mx + b is the slope intercept form of a line where m is the slope and b is the y intercept.
Step 1 : Equation of a Straight Line
Step 2: Graph of a Straight Line
Step 3: Calculate the Y-Intercept
Step 4: Calculate the X-Intercept
Step 5: Calculate the Slope
Hope this helps.
Solve the equation
The equation is -3 = 8x -4y for y
Answers
Answer:
[tex]y=\frac{3}{4}+2x[/tex]
Step-by-step explanation:
Tony and Tiffany collect semi-precious stones. At the rock hound hut, Tiffany paid $38 for 9 pounds of snowflake obsidian. At the solid rock shop, tony paid $19 for 3 pounds of the same type of the stone. Who made the better buy?
Answers
Answer:
Tiffany made the better buy
Step-by-step explanation:
Based on the information provided within the question it can be said that Tiffany made the better buy in this scenario. Mainly because Tiffany paid a less amount per pound than Tony did. This can be calculated by dividing the total amount each paid by the total amount each of them received, like so...
Tiffany: $38 / 9 = $4.22 per pound
Tony: $19 / 3 = $6.33 per pound
Therefore we can see that Tiffany paid $4.22 per pound and Tony paid $6.33 per pound a whole $2.11 more than Tiffany, thus making Tiffany purchase the better buy.
Pls help with this question.
This recipe makes 16 portions of potato soup.
Richard follows the recipe but wants to make 4 portions.
Complete the amounts of each ingredient that he needs.
Answers
Answer:
24 ml oil
60 g onions
360 g potatoes
400 ml milk
Step-by-step explanation:
The recipe makes 16 portions and you only need 4 portions. Since 16 is 4 times bigger than what you need, just divide everything you've been given by 4.
*you can choose to convert into the correct units of measurement before or after dividing. I converted after dividing. Either way works fine though.
1) 96/4 = 24 ml
2) 240/4 = 60 g
3) 1.44/4 = 0.36 kg
They want it in grams, so times it by 1,000 to convert. this gives you 360 g.
4) 1.6/4 = 0.4 l
They want it in ml, so times it by 1,000 to convert. this gives you 400 ml.
Hope this helped : )
Evaluate 2(x+1)-3 when x=6
Answers
Answer:
[tex]11[/tex]
Step-by-step explanation:
[tex]2(6+1)-3[/tex]
[tex]2(7)-3[/tex]
[tex]14-3[/tex]
[tex]11[/tex]
Answer:
11
Step-by-step explanation:
1. insert 6 in the x spot
2. add inside of the parenthesis (6+1)=7
3. multiply 2 and 7 to get 14
4. take 3 from 14 to get 11
QUESTION 2 of 10: Your house is for sale for $210,000. A realtor will charge you a 3% sales commission. If you choose a "sale by owner"
option by passing a realtor, you will pay no commission, but you will have to pay an attorney an average of $950 at your closing. What will you
save by choosing the sale by owner" option?
a) $1,865
b) $2,150
C) $5,350
d) $9.500
Answers
Answer:
c) $5,350
Step-by-step explanation:
sale price= $210000sales commission= 3% = 3*$210000/100= $6300The difference between the commission and an attorney
$6300- $950= $5350Option C is correct
Answer:
C
Step-by-step explanation:
Here are two rectangles.
6 cm
9 cm
8 cm
12 cm
Complete this sentence.
The two rectangles are similar and the scale factor is
Answers
Answer:
3/4
Step-by-step explanation:
Scale factor = 6/8 or 9/12 = 3/4
A grocery store clerk can scan one product every 1/2 of a second at what rate Can she scan Products
Answers
Answer:
per second or minute or hour?
per second: 2 per second
per minute: 120 per minute
per hour: 7200 per hour
Step-by-step explanation:
two 1/2 seconds per second so 2 products per second. multiply by 60 for per minute is 120. multiply the minute amount by 60 for hour amount aka 7200.
hope this helps! pls mark brainliest! have a good day!
Answer: She scan products at
2 per second.120 per minute. 7200 per hour.Given that: A grocery store clerk can scan one product every 1/2 of a second.
That means:
Rate = 2 per second.
Rate = (2*60) = 120 per minute.
Rate = (120*60) = 7200 per hour
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Which of the binomials below is a factor of this
trinomial?
x2 + 13x + 40
O A. x+ 5
O B. X-5
O C. X+4
O D. X-4
Answers
VA
How could you use cross products to check the solution
to this proportion?
12 5
30 x
30(5) = (12)(x)
150 = 12x
12.5 = x
the answer is 2x=25. Can someone help me please
Answers
Answer:
don't type the mathematics questions
Answer:150
Step-by-step explanation:
1 of 10
Colin buys a tv for £810.
It depreciates at a rate of 3% per year.
How much will it be worth in 3 years?
Give your answer to the nearest penny where appropriate.
7
8
9
q
W
e
r
t
y
u
o
Answers
Answer:
I=72.9
Step-by-step explanation:
I=PRT When P= the principal=810, R=rate=3% and T=time(by year)=3 years
I=810*3/100*3
I=24.3*3
I=72.9
Answer:
Simple interest/Interest = £72.9
Step-by-step explanation:
We have to find the simple interest at this point.
So use the formula:
I = prt or I = p x r x t
I = amount of interest
P = principal amount (810)
R = interest rate (in years) (.03)
T = amount of time in (years) (3)
All we need to do is multiply.
I = (810)(.03)(3)
I = £72.9
Solve for x. 2(4x - 1) + 3(3 - 2x) = 0
Answers
Answer:
x=-3.5
Step-by-step explanation:
[tex]2(4x - 1) + 3(3 - 2x) = 0 \\ open \: the \: bracets \: \\ 8x - 2 + 9 - 6x = 0 \\ [/tex]
[tex]collect \: like \: terms. \\ 8x - 6x = 0 + 2 - 9 \\ 2x = - 7[/tex]
[tex]divide \: both \: sides \: of \: the \: equation \: by \: 2 \\ \frac{2x}{2} = \frac{ - 7}{2} \\ x = - \frac{7}{2} or \: x = - 3.5[/tex]
A 6.5 foot street sign casts a 10-foot shadow while a telephone pole casts a 40-foot shadow. How tall
is the telephone pole?
Answers
Answer:
26
Step-by-step explanation:
10 x 4 = 40
6.5 x 4 = 26
The height of the telephone pole is 26 foot.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Shadow of 6.5 foot street sign = 10 foot
Let the height of telephone pole = h foot
According to given condition,
Shadow of h foot telephone pole = 40 foot
Since, 10 foot shadow cast by 6.5 foot street sign
To find the height of the pole,
Use Ratio property,
10/6.5=40/h
⇒h=26 foot
The height of telephone pole is 26 foot
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Leigh is going diving and needs to descend to a depth of 360 feet below sea level. She wants to do it in 12 equal descents. How far should she travel in each descent?
Answers
Answer:
30 feet
Step-by-step explanation:
If they are equal, just divide 360 by 12.
360 ÷ 12 = 30
what is the total amount of sap produced that day?
Answers
Answer:
8 gallons
Step-by-step explanation:
Already a question from another person.
Answer:
5 gallons
Step-by-step explanation:
PLEASE ANSWER THIS QUESTION !! WILL GIVE BRAINLIEST !! 15 POINTS !!
Answers
Answer:
The answer is C
Step-by-step explanation:
Please mark me Brainliest
Answer correctly !!!!!! Will mark brainliest !!!!!!!!
Answers
Answer:
(x+9)(x+2)
Step-by-step explanation:
x(x+9)+2(x+9)
(x+2)(x+9)
the order of the (---) doesn't matter
What is the leading coefficient of the polynomial?
5x3 + 17 − 8x5 − 9x4
A) −8
B) −9
C) 17
D) 5
Answers
Answer:
-8
Step-by-step explanation:
Write the polynomial from highest power to smallest
− 8x^5 − 9x^4+5x^3 + 17
The leading coefficient is the first number in front of the highest power
3:15=12:60 then find the sum of the mean
Answers
Answer:
The means of the proportion 3/15 = 12/60 are 15 and 12. The means of the proportion 3/15 = 12/60 are 15 and 12
A scale drawing of a room is shown below. In the drawing, the room is 7 1/2 inches long and 5 inches wide. What is the actual area of the room? Please help
Answers
Answer:
The area of the room is 37.5 square inches.
Step-by-step explanation:
Consider that the room is rectangular in shape.
The dimensions of the rooms are:
Length (l) = 7.5 inches
Breadth (b) = 5 inches
The area of a rectangle is:
Area = l × b
Compute the area of the room as follows:
Area = l × b
[tex]=7.5\times 5\\=37.5[/tex]
Thus, the area of the room is 37.5 square inches.
Which number produces a rational number when multiplied by
1/3
Answers
Answer:
Any integer multiplied can give rational number
Step-by-step explanation:
The base of a right circular cone has a radius of 4 inches and a slant height of 9 inches. If the radius and the slant height are multiplied by 6, by what factor is the surface area multiplied? A. 6 B. 36 C. 24 D. 54
Answers
Answer:
Correct option: B -> 36
Step-by-step explanation:
The surface area of a circular cone is given by the formula:
Surface area = pi * radius * (radius + slant height)
If the inicial radius is 4 in and the slant height is 9 in, we have:
Surface area = pi * 4 * (4 + 9) = 52pi in2
The radius and the slant height are multiplied by 6, so we have:
radius = 6 * 4 = 24 in
slant height = 6 * 9 = 54 in
So the new surface area is:
New surface area = pi * 24 * (24 + 54) = 1872pi in2
The factor of the surface areas is:
New surface area / Surface area = 1872pi / 52pi = 36
Correct option: B
Answer:
b
Step-by-step explanation: