<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
What are Corresponding Angles?When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.
In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.
Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.
Learn more about corresponding angles on:
https://brainly.com/question/2009183
Answer:Answer is A
Step-by-step explanation:
just did it on khan academy
two barrels filled with juice are similar in shape. the smaller barrel has a height of 2 feet. the larger barrel has a height of 5 feet. the total volume of the barrels is 532 cubic feet. what is the volume if the smaller barrel
Please help
Step-by-step explanation:
Volume of Barrel : [pi x h(r² + 2R²)] / 3
Barrel A : 2pi(r² + 2R²)]/ 3
Barrel B : 5pi(r² + 2R²)]/ 3
Barrel A + Barrel B = 532
5pi(r² + 2R²)/3 + 2pi(r² + 2R²)/3 = 532
5pi(r² + 2R²) + 2pi(r² + 2R²) = 1596
7pi(r² + 2R²) = 1596
pi(r² + 2R²) = 228
Barrel A = 2 x 228/3 = 76 ft³ SMALLER
Barrel B = 5 x 228/3 = 380 ft³
hope it's helpful, I'm not sure if (r) and (R) are the same if the two barrels has a similar shape. but if they're the same, then the answer is correct
A bicycle costs $240 and it loses 3/5 of its value each year.
A. Write expressions for the value of the bicycle,in dollars, after 1,2, and 3 years
B. When will the bike be worth less than $1?
Answer:
A. $96.00, $38.40, $15.36
B. after 6 years
Step-by-step explanation:
An exponential function has the general form ...
y = (initial value) × (growth factor)^t
__
A.The growth factor is 1 more than the growth rate. Here, the "growth" is actually a decay at the rate of 60% per year, so the growth rate is -0.60. The initial value is $240. The value equation can be written ...
y = 240(1 -0.60)^t
We want the value after t=1, t=2, and t=3 years.
y = $240(0.4)^1 = $96 . . . value after 1 year
y = $240(0.4)^2 = $38.40 . . . value after 2 years
y = $240(0.4)^3 = $15.36 . . . value after 3 years
__
B.We want to find t when y < 1.
240(0.4)^t < 1
0.4^t < 1/240 . . . . . . . . . . . . divide by 240
t × log(0.4) < log(1/240) . . . take logs
t > log(1/240)/log(0.4) . . . . . . . inequality reverses because log(0.4) < 0
t > 5.98
The bike will be worth less than $1 after about 6 years.
_____
Additional comment
For part A, we have shown the values after 1, 2, and 3 years. The expressions are shown on the same line preceding the value.
Please help !!! What’s the answer to this??
No links please ! And no replies if you don’t know the answer.
Answer:
Average speed is distance/time. You could say, 12/6 = 2 miles per second and say that’s the answer, but we relate to mph so much better. Since there are 60 x 60 = 3600 sec in an hour, that same speed is:
2 x 3600 = 7,200 mph
No “car” can travel this fast. Some rocket cars have gone about 1/10th this speed.
grade 6 math 1. Mr. Carlos bought a T-shirt for ₱ 254.95. Round this off to the nearest peso.
Answer:
255
Step-by-step explanation:
254.95
.95 is closest to 255.
254.95...255.
Proportional ratios : If I mow 75 % of 150 square meters of my grass, how much did I mow?
Answer:
You mowed 112.5 square meters of your grass.
Step-by-step explanation:
First, convert the percentage to a fraction.
75% = 3/4
Then to find 75% of 150, multiply 3/4 and 150.
(3/4) * 150
(3*150)/4
450/4
112.5
We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.
Answer:
[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]
Step-by-step explanation:
Grass mowed:
= 75% of 150 m²
[Key: "of" means "to multiply" and "%" means "out of 100"]
[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]
If the steak your purchasing is 6 ounces how much does each once cost
Do we, as a society, rely on technology too much?
no. the word technology spans every invention ever created. we don't.
Answer:
Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.
Step-by-step explanation:
that are equivalent to 4(3x + 3)
Answer: 4(3 x + 3) would be equivalent to 12 x + 12 .
Step-by-step explanation: because both expressions remains the same for the value of x . *your welcome <3* .
Combine the like terms to create an equivalent expression -3k-(-8)+2}−3k−(−8)+2
Answer:
Step-by-step explanation:
Here 8 and 10 are the like terms (both are constants)
-3k -(-8) + 2 = -3k + 8 +2
= -3k + 10
another retake !! help it’s due today
Answer:
Maurico started with more :)
Step-by-step explanation:
Mariah started with 150 while Maurico started with around 190 so he has more to start with :)
Have a great day!
Please rate and mark brainliest!
Answer:
Mauricio
Step-by-step explanation:
To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years
So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$
By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$
In other words, the y-intercept is the initial amount of savings.
190>150
:P
Hope this helps, it would be appreciated if you made me brainliest.
A bakery sells chocolate cupcakes and vanilla cupcakes. It sold 143 chocolate cupcakes in a day. 35% of the cupcakes sold that day were vanilla. How many total cupcakes did the bakery sell that day?
Answer:220
Step-by-step explanation:
The length of a rectangle is 12 feet more than twice the width. If the area is 320 square feet, what is the length? What is the width?
Answer:
Length of rectangle is 32 feet and width is 10 feetStep-by-step explanation:
Given,
The length of a rectangle is 12 feet more than twice the width and area is 320 square feetLet's assume, width of rectangle x feet and length of the Rectangle be 12 + 2x respectively. To Calculate the length and width of rectangle we'll use the formula of area of rectangle:
[tex] \\ \star \: { \underline{ \boxed { \pmb{ \sf{ \purple{Area _{(rectangle)}= Length \times width}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \sf \: \: \: \: (12 +2x) (x) = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2 = 320 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 12x + 2x^2- 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2x^2 + 12 - 320 = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x^2 + 6x - 160) = 0 \\ [/tex]
[tex] \dashrightarrow \sf \: \: \: \: 2(x^2 + 16x - 10x - 160) = 0 \\ [/tex]
[tex]\dashrightarrow \sf \: \: \: \: 2(x - 10)(x + 16) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: \: \: \underline{ \boxed{ \purple{ \pmb{ \rm{ x = 10 \: or \: -16}}}}} \\ [/tex]
Hence,
Width of rectangle = x = 10 feet Length of rectangle = 12 + 2x = 12 + 2(10) = 32 feet[tex]~[/tex]
[tex] \underline{\therefore{ \pmb { \frak{Length \: and \: width \: of \: rectangle \: is \: 32 \: and \: 10 \:ft}}}}[/tex]
Find the volume of the prism.
Answer: The formula for the volume of a prism is obtained by taking the product of the base area and height of the prism. The volume of a prism is given as V = B × H where, "V" is the volume of the prism, "B" is the base area of the prism, and "H" is the height of the prism.
3x2 + 6x = 12 (using quadratic formula)
If x=3, y=-2, z=-1 ,find the value of 3x-4y+z
I really need help
Answer:
16
Step-by-step explanation:
Since, x=3, y=-2, z=-1
We can Substitute:
3(3)-4(-2) + -1
9 -4(-2)+-1
9 + 8 + -1
17 - 1
16
~Lenvy~
The rear window of Alex's van is shaped like a trapezoid with an upper base
measuring 36 inches, a lower base measuring 48 inches, and a height of 21 inches.
An 18-inch rear window wiper clears a 150° sector of a circle on the rear window, as
shown in the diagram below.
36 in.
21 in.
150 degrees
18 in.
48 in.
1. What is the area, in square inches, of the entire trapezoidal rear window?
Show or explain how you got your answer.
The area, in square inches, of the entire trapezoidal rear window is 882 square inches.
What is the area of the entire trapezoidal rear window?
A trapezoid is a convex quadrilateral with at least on pair of parallel sides. The parallel sides are called bases while the non parallel sides are called legs.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
Area of a trapezoid = 0.5 x (36 + 48) x 21 = 882
To learn more about trapezoids, please check: https://brainly.com/question/25748893
Can someone help me with math I need help I will attempt to give y’all help too!
Answer:
48%
Step-by-step explanation:
there are 250 cars in total 50+70 is 120 (the red or blue cars)
so there are 120 "yes" out of 250 total of 120 divided by 250 equal 0.48 or 48%
What is the
Height?
Please, asap. If two people answer, I will give one of you a brainlest and ask I will ask another question afterward.
Answer:
the answer is the number 23
Rotate shape A 90° anti-clockwise with centre of rotation (0,0).
What are the coordinates of the vertices of the image?
Answer:
(-6, 1) (-6, 3) (-5, 3) (-5, 2) (-3 2) -3, 1
Step-by-step explanation:
By rotating 90 degrees x become y and y becomes negative x
find the sum, plss help thanks!
Answers:
5.) [tex]\displaystyle \pm{8\sqrt{3}}[/tex]
4.) [tex]\displaystyle 3\sqrt[5]{3}[/tex]
3.) [tex]\displaystyle \pm{8\sqrt{5}}[/tex]
2.) [tex]\displaystyle 3\sqrt[3]{3}[/tex]
1.) [tex]\displaystyle \pm{3\sqrt{2}}[/tex]
Step-by-step explanations:
5.) [tex]\displaystyle \sqrt{27} + \sqrt{75} \hookrightarrow \pm{3\sqrt{3}} + \pm{5\sqrt{3}} \\ \\ \boxed{\pm{8\sqrt{3}}}[/tex]
4.) [tex]\displaystyle \sqrt[5]{3} + \sqrt[5]{96} \hookrightarrow \sqrt[5]{3} + 2\sqrt[5]{3} \\ \\ \boxed{3\sqrt[5]{3}}[/tex]
3.) [tex]\displaystyle \sqrt{45} + \sqrt{125} \hookrightarrow \pm{3\sqrt{5}} + \pm{5\sqrt{5}} \\ \\ \boxed{\pm{8\sqrt{5}}}[/tex]
2.) [tex]\displaystyle \sqrt[3]{3} + \sqrt[3]{24} \hookrightarrow \sqrt[3]{3} + 2\sqrt[3]{3} \\ \\ \boxed{3\sqrt[3]{3}}[/tex]
1.) [tex]\displaystyle \pm{\sqrt{2}} + \sqrt{8} \hookrightarrow \pm{\sqrt{2}} + \pm{2\sqrt{2}} \\ \\ \boxed{\pm{3\sqrt{2}}}[/tex]
I am joyous to assist you at any time.
50 POINTS 50 POINTS please help me with these 5 questions attached pictures
Step-by-step explanation:
the first graph
0=|x+2| f(0)=|0+2|
|x+2|=0 f(0)=|2|
x+2=0 f(0)=2
x=-2
Answer:
First graph X=-2
How do I find the current price of a stock when the rate is not constant? Please give a formula step by step answer I'm so confused
Answer:
There is no affirmative formula, but this is the basics
Step-by-step explanation:
DDM Formula=
Stock value = Dividend per share / (Required Rate of Return – Dividend Growth Rate)
Rate of Return = (Dividend Payment / Stock Price) + Dividend Growth Rate.
The P/E Ratio. The price-to-earnings ratio or P/E ratio is a popular metric for valuing stocks that works even when they have no dividends. Regardless of dividends, a company with high earnings and a low price will have a low P/E ratio. Value investors see such stocks as undervalued.
The current price is the most recent selling price of a stock, currency, commodity, or precious metal that is traded on an exchange and is the most reliable indicator of that security's present value.
The formula consists of taking the DPS in the period by (Required Rate of Return – Expected Dividend Growth Rate). For example, the value per share in Year is calculated using the following equation: Value Per Share ($) = $5.15 DPS ÷ (8.0% Ke – 3.0% g) = $103.00.
Briefly, in order to be eligible for payment of stock dividends, you must buy the stock (or already own it) at least two days before the date of record. That's one day before the ex-dividend date.
What is the formula for finding the Volume of a cylinder?
Answer:
V = πr²h
Step-by-step explanation:
Answer:
V = Bh or what the guy above/below me said
Step-by-step explanation:
Find the total surface area of the cube.
2.2 cm
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²
Which of the following graphs has a zero at (-5)?
Hi! Im stuck on this question please help, thanks
Answer:
I guess it is 43.57 Hope it helps!!!
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
If the value 0.125 is rewritten as X%, what is the value of ?
Answer:
12.5%
Step-by-step explanation:
0.25 * 100
= 12.5%
Describe the correlation you would expect with these data sets.
(i) The height of a person and the speed at which they can run.
(ii) The age of a second car and its value.
(iii) Time spend watching TV and exam score
(iv) Height and income
(v) Sale of the apartment and high cost
Answer:
(i) no correlation as one variable is not dependent on the other.
(ii) The age of a car does affects its value. Therefore, the age will be the independent variable (x-axis) and the value will be the dependent variable (y-axis). Unless the car is a classic, sought-after car, as the age increases, its value decreases, so this will be a negative correlation.
(iii) The time spent watching TV may affect exam score (since the more time spent watching TV equals less available time to spend studying). Therefore, the time spent watching TV will be the independent variable (x-axis) and the exam score will be the dependent variable (y-axis). As time spent watching TV increases, the exam score could potentially decrease, so this will be a negative correlation.
(iv) no correlation, since one variable is not dependent on the other.
(v) The cost of an apartment may affect its sale, but there are many factors that can affect this such as location of the apartment and the buyers it appeals to. The cost will be the independent variable (x-axis) and the sale will be the dependent variable (y-axis). In usual circumstances, we would expect to see as the cost of an apartment increases, the sale may decrease, as less and less buyers can afford to buy it, so this will be a negative correlation.
Eight times x is less than or equal to 29
Translate the sentence into an inequality
[tex]8x \leqslant 29[/tex]
Answer:
8x ≤ 29
Step-by-step explanation:
The reason why is because, 8 times 'x' also means 8 multiplied by x.
The words less than or equal to mean ≤, this is because the less than sign (<) denotes that the product of 8 and 'x' is below 29 and the line underneath the less than sign (<) means that it is equal to.