Answers
To get x the lines on the sides of the triangle mean the three sides are congruent. The angle across from that side are equal. So that makes all three angles equal. In every angle it’s 9x-3 so you add that together and you get 27x-9. All triangles equal 180 so do 27x-9=180 add 9 to both sides,
+9 +9 and you get 189
27x=189 Divide by 27
27x/27=189/27
x=7
Related Questions
Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options.
a.18 x minus 15 = 72
b.50 x minus 25 = 72
c.18 x minus 9 = 72
d.3 (6 x minus 3) = 72
e.x=4.5
Answers
Answer:
C, D and E
Step-by-step explanation:
Given equation:
[tex]\dfrac35(30x-15)=72[/tex]
Use the distributive law [tex]a(b-c)=ab-ac[/tex]:
[tex]\implies \dfrac35\cdot30x- \dfrac35\cdot15=72[/tex]
[tex]\implies \dfrac{3 \cdot30}5x- \dfrac{3 \cdot15}5=72[/tex]
[tex]\implies \dfrac{90}5x- \dfrac{45}5=72[/tex]
[tex]\implies 18x- 9=72[/tex] ← option c
Factor out common term 3:
[tex]\implies 3(6x- 3)=72[/tex] ← option d
Solve [tex]18x- 9=72[/tex]:
[tex]\implies 18x- 9+9=72+9[/tex]
[tex]\implies 18x=81[/tex]
[tex]\implies \dfrac{18x}{18}=\dfrac{81}{18}[/tex]
[tex]\implies x=4.5[/tex] ← option e
ONLY URSONET ANSWER|||||||
53 + 47 = 100 : simples? But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach's Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100.
Answers
It's tricky because everybody is used to seeing 50+50=100
50+50=100 Its simple but when u put it like that it makes at trickier and people think its 90 or 103
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a.
b.
c.
d.
Please select the best answer from the choices provided
A
B
C
D
Answers
If a = -4 and b= -3, work out the value of a/2+b
Answers
Given Equation Is:
[tex] \: \: [/tex]
[tex] \sf \large \frac{a}{2} + b[/tex][tex] \: \: [/tex]
Now, Put the value of a = -4 and b = -3 in given eqn .
[tex] \: \: [/tex]
[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \: - 2 - 3[/tex][tex] \: \: [/tex]
[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex][tex] \: \: [/tex]
Hope Helps!:)
The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.
What is the substitution of variables into an equation?The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.
So,
If a = - 4;and b = -3Then, using the expression:
[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]
The solution to the equation can be calculated as:
[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]
[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]
Divide both the numerator and denominator by (-1)
= 4
However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]
The solution to the equation will be as follows:
[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]
= -2 - 3
= -5
Learn more about variables here:
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f(x) = -7x - 1
f() = -8
Answers
Answer:
Step-by-step explanation:
4.1 Provide with reason 6 angles that are equal to x
Answers
Step-by-step explanation:
1. ∠EBC = x (Theorem One: The angle at the centre of the circle is twice the angle at the circumference subtended on the same arc. You already have this one labelled)
2. ∠FCD = x (F rule / corresponding angles are equal)
3. ∠CAE = x (Theorem Two: Angles at the circumference subtended by the same arc are congruent)
4. ∠BED = ∠DCF = ∠FCD = x (Theorem Fifteen: The exterior angle of a cyclic quadrilateral is congruent to the interior opposite angle)
5. ∠CDF = ∠BED = x (F rule / corresponding angles are equal)
6. ∠CAE = ∠OAE = ∠OEA = x (CAE and OAE are the same angles, OF and OA are radii, thus they must both be equivalent in magnitude, therefore making the triangle ΔAOE isosceles. Base angles of an isosceles triangle are always equal, since we knew ∠OAE from '3.' was x, we found that ∠OEA was also x)
mom bought a dress for 320 dollars during the big sale its original price is 400 yuan how much is the discount
Answers
Answer:
20% discount
Step-by-step explanation:
Given the following question:
20% of 400
To find the answer we will use the formula to calculate percentages, once we have that answer we then subtract it from the original price to see if we have the same new price as the question.
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{20\times40}{100}[/tex]
[tex]20\times40=8000[/tex]
[tex]8000\div100=80[/tex]
[tex]=80[/tex]
Subtract from the original price:
[tex]400[/tex]
[tex]400-80=320[/tex]
[tex]=320[/tex]
The dress has a "20% discount."
Hope this helps.
I need help with this!
Answers
x-intercept =12/1=12.00000
y-intercept =12/3=4
x+3y=12
Answer: 4
2) Slope equals 2
x-intercept=5/2=2.5000
y-intercept=5/-1=-5.00000
Answer: -5.00000
Answer:
Dear Friend here is your answer.
How to make 2.5 a fraction
Answers
2 is a whole number and .5 multiplied by 10, then divided by 100, then simplify
Find the surface area of the figure below.
Answers
Answer:
108 i think
Step-by-step explanation:
Answer:
108 inch.
Step-by-step explanation:
To make it a bit easier, I calculated the area of each side of the prism that was shown.
1. Start with the triangular sides: 3 × 4/2 = 6. Since there are two triangular surfaces, you add them together. In the end, you have 12 inch.
2. Calculate the surface with the dimensions 8 in. with 5 in.: 8 × 5 = 40 inch.
3. Calculate the surface with the dimensions 4 in. with 8 in.: 4 × 8 = 32 inch.
4. Calculate the surface with the dimensions 3 in. with 8 in.: 3 × 8 = 24 inch.
5. Last step - add all the results together: 12 + 40 + 32 + 24 = 108 inch.
Hope it helped!!
Ricardo is copying angle BCD below.
Which is the next step in Ricardo's construction?
A. Draw an arc and label the intersection point V.
B. Place the point of the compass on point Y and
adjust the width to point X.
C. Draw TU and point R on TU
D. Draw VU and point R on VU
Answers
Answer: C) Draw segment TU and point R on segment TU.
The construction he set up so far is pretty much almost done. If he draws a ray through points T and U (with T as the endpoint), then ray TU combines with ray TS to get angle STU. This angle is congruent to angle BCD.
The point R is introduced so that we call this angle STR instead of angle STU, but it's the same basic idea. You could also replace "ray" with "line" or "line segment" to get the same basic construction of copying an angle.
(4x - 58)
(3x – 26)
(3x + 14)
Solve for x
Answers
Answer:
can't solve this
Step-by-step explanation:
Match each statement with its symbolic notation.
Answers
Answer:
4. F
5.C
6.G
7.D
8.A
9.E
10.B
Step-by-step explanation:
Quentin recorded the weather for the past days. It rained on 28 of the days. Which fraction and decimal represent how many days it rained? 28 O A 2.8 and 100 O'B. 0-28 and 210 OC. 0.28 and 28 100 O D. 0.28 and
Answers
Answer:
I don't know which letter answer it is because it is unclear in the question, but the answer is:
28/100 for the fraction
0.28 for the decimal
-
A geometric
sequence is defined
recursively by
an = 3an-7. The 1st
term of the
sequence is 2.7.
Write the explicit
formula for the
sequence.
HELP PLEASE
Answers
Answer:
2.7n=8.1^n-7
thank you for the lovely question
solve pls brainliest
Answers
Answer:
100
Step-by-step explanation:
Lets solve this the easiest way possible :)
120/6 = 20
Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.
20 x 5 = 100
They sold 100 copies :)
Hope this helps!!!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
100
Step-by-step explanation:
5 120
----- ------
6 1
=
600
------- = 100
6
If you want to buy an item in a store that costs $50 and is on sale for 10% off, then
how much would the item actually cost you after the discount? Round to the nearest
cent.
Answers
Answer:
It would be $45.00.
Step-by-step explanation:
50 divided by 10 would be 5. Subtract that from 50 to get 45.
Answer:
$45.00
Step-by-step explanation:
If an item cost $50 and the discount is 10% then:
Convert 10% to a decimal
10/100 = .1
.1 * $50 = $5
The discount is $5, subtract the discount from the original amount.
$50 - $5 = $45
The item would cost $45.00 after the discount.
Tom host a new program the kitchen gladiator, wants to mix a dip containing 5% horseradish with one containing 20% horseradish to obtain a 24 ounce dip containing 10% horseradish, how many ounces of the 5% dip should he use?
Answers
Answer:
16 ounces
Step-by-step explanation:
x, quantity of the 5%
24-x, quantity of the 20%
5%x + 20%(24-x) = 10% of 24
.05x + .20(24-x) = .10 * 24
.05x + 4.8 - .20x = .10 * 24
4.8 -.15x = 2.4
2.4 = .15x
.15x = 2.4
x = 2.4/.15
x = 16
Select the correct answer from each drop-down menu.
The figure shown consists of a square pyramid on top of a square prism. The surface area of the figure is 432 cm2. The height of the prism is three times the height of the pyramid.
Find the heights of the pyramid and the prism.
The height of the pyramid is
cm.
The height of the prism is
cm.
Answers
Answer:
height of pyramid = 3 cm
height of prism = 9 cm
Step-by-step explanation:
Square Pyramid
surface area of 4 triangular sides of the pyramid = [tex]2a\sqrt{\dfrac{a^2}{4}+h^2}[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm
[tex]\implies \textsf{SA}=2\cdot8\sqrt{\dfrac{8^2}{4}+h^2}[/tex]
[tex]=16\sqrt{16+h^2}[/tex]
Square Prism
surface area of square prism with one base = [tex]a^2+4ah[/tex]
(where [tex]a[/tex] is the base edge and [tex]h[/tex] is the height)
Given [tex]a[/tex] = 8 cm and [tex]h[/tex] = 3h
[tex]\implies \textsf{SA}=8^2+4\cdot 8\cdot 3h[/tex]
[tex]=64+96h[/tex]Total surface area
total SA = SA of pyramid + SA of square prism
Given total SA = 432 cm²
[tex]\implies 432=16\sqrt{16+h^2}+64+96h[/tex]
[tex]\implies 368=16\sqrt{16+h^2}+96h[/tex]
[tex]\implies 368=16(\sqrt{16+h^2}+6h)[/tex]
[tex]\implies 23=\sqrt{16+h^2}+6h[/tex]
[tex]\implies 23-6h=\sqrt{16+h^2}[/tex]
[tex]\implies (23-6h)^2=16+h^2[/tex]
[tex]\implies 529-276h+36h^2=16+h^2[/tex]
[tex]\implies 35h^2-276h+513=0[/tex]
[tex]\implies (h-3)(35h-171)=0[/tex]
[tex]\implies h=3, h=\dfrac{171}{35}[/tex]
Inputting both values of [tex]h[/tex] into the equations for SA:
when [tex]h = 3[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+3^2}=80 \ \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(3)=352 \ \sf cm^2[/tex]
[tex]\textsf{total SA}=80+352=432 \ \sf cm^2[/tex]
when [tex]h=\dfrac{171}{35}[/tex]:
[tex]\textsf{pyramid}=16\sqrt{16+(\frac{171}{35})^2}=101.0285714... \sf cm^2[/tex]
[tex]\textsf{square prism}=64+96(\frac{171}{35})=533.0285714... \ \sf cm^2[/tex]
[tex]\textsf{total SA}=101.0285714...+533.0285714... =634.0571428... \ \sf cm^2[/tex]
Therefore, h = 3 only (since the total area is 432 cm²)
⇒ height of pyramid = 3 cm
⇒ height of prism = 3h = 3 × 3 = 9 cm
What is the sum of -7 and its additive inverse?
Answers
Answer:
The sum of a number and its additive inverse is equal to 0.
Step-by-step explanation:
Hailey went to Frank's Market and bought 1 3/4 pounds of coffee at $13 a pound and 8 1/2 pounds of rice at $0.45 pero pound. If Hailey paid with a $50 Bill how much chance did she receive?
Answers
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
[tex]1\dfrac34[/tex] pounds of coffee costs [tex]=1\dfrac34\times 13=\dfrac{4+3}{4}\times 13[/tex]
[tex]=\dfrac74\times 13\\\\=\$ 22.75[/tex]
Cost per pound of rice = $0.45
[tex]8\dfrac12[/tex] pounds of rice costs = [tex]8\dfrac12\times 0.45=\dfrac{17}{2}\times0.45[/tex]
[tex]=\$3.825[/tex]
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
Answer: She received $18.42 as change.
Step-by-step explanation:
Given: Cost of coffee per pound = $13
pounds of coffee costs
Cost per pound of rice = $0.45
pounds of rice costs =
Bill amount = $ (22.75+8.825) = $ 31.575≈ $31.58
If Hailey paid $50, then she will receive = $(50-31.58)
= $ 18.42
Hence, She received $18.42 as change.
Is Y = 8 proportional
Answers
Answer:
yes it is
Step-by-step explanation:
it can be written as a fraction
The table gives the value of bianca’s savings account at the end of each of the first four years.
which best describes the terms of this investment?
Answers
The savings account of a person shows the amount which is immediately available to the person and this helps to create budgets and control spending.
What are Tables?This refers to the way data is arranged by showing the figures in columns for easy reading and calculations.
Please note that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
Read more about tables here:
https://brainly.com/question/24040786
Question in photo! (Please help with other questions!)
Answers
Answer:
b) [tex]a_{n}[/tex] = 2 + 2/5n
Step-by-step explanation:
Given :-
a = 12/5
d = 2/5
To Find :-
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
= 12/5 + 2/5n - 2/5
= 2 + 2/5n
Solution :-
b) [tex]a_{n}[/tex] = 2 + 2/5n
i need answer now asap plzzz 25 points
Enzo is making a scale drawing of the rectangle below.
A rectangle has a length of 8 centimeters and width of 5 centimeters.
Enzo says that he can draw an enlarged rectangle that is 16 centimeters by 13 centimeters. Which explains whether Enzo is correct?
Enzo is correct because he used a factor of 2 to enlarge the rectangle.
Enzo is correct because he doubled one dimension and added the two lengths to get the other dimension.
Enzo is not correct because the enlarged rectangle should be 16 centimeters by 5 centimeters.
Enzo is not correct because he did not multiply the length and width by the same factor.
Answers
Answer:
Tjats is baout the circumfrence of nonsensical poop
Step-by-step explanation:
Answer:
what ever the first person have answer
Find the area of the parallelogram.
-
14 cm
14 cm
A= | cm2
Answers
Answer:
= 196 cm^2
Step-by-step explanation:
A= bh
= 14X14
= 196 cm^2
As a member of a dance troupe, Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white). If a costume consists of either a pair of tights and a T-shirt with a scarf or a pair of tights and a T-shirt without a scarf, how many different costumes are possible?
Answers
Answer:
24
Step-by-step explanation:
24
The total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Anita has a costume wardrobe that consists of 2 pairs of tights (1 white pair and 1 black pair), 3 T-shirts (1 pink, 1 blue, and 1 green), and 3 scarves (1 silver, 1 gold, and 1 white).
The costume consists of either a pair of tights or a T-shirt with a scarf:
In this case total number of ways = 2×3×3 = 18
Pair of tights and a T-shirt without a scarf:
In this case total number of ways = 2×3 = 6
Total number of different costumes are possible:
= 18 + 6
= 24
Thus, the total number of different costumes possible is 24 if Anita has a costume wardrobe that consists of 2 pairs of tights, 3 T-shirts, and 3 scarves.
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What are the values of x and y?
Answers
Answer:
Y=45 X=90
Step-by-step explanation:
B is equal to C so it would be 45. Since the whole triangle must be 180 you subtract 45 and 45 from 180 and you get 90. Another way to tell C and B are the same is the 2 little lines on the sides.
Answer:
y=45°(angles opposite to equal sides are equal)
x+y+45=180(sum of the interior angles of a triangle is 180)
x+45+45=180
y+90=180
y=180-90
y=90
Step-by-step explanation:
463.70
500.45
218.70
253.10
Answers
Answer:
463.70 or 500.45
What is the square root of 5?
Answers
Answer:
2.2360679775
Step-by-step explanation:
Answer:
2.2360679775
Step-by-step explanation: