Answers
Given:
[tex]\overline{HG}||\overline{JI},\overline{GI}\cong \overline{IK}[/tex] and [tex]\angle HIG\cong \angle JKI[/tex]
To prove:
[tex]\angle H\cong \angle J[/tex]
Solution:
In [tex]\Delta GHI[/tex] and [tex]\Delta IJK[/tex],
Statements Reasons
[tex]\overline{HG}||\overline{JI},\overline{GK}[/tex] is transversal. (Given)
[tex]\angle HGI\cong \angle JIK[/tex] (Corresponding angles)
[tex]\overline{GI}\cong \overline{IK}[/tex] (Given)
[tex]\angle HIG\cong \angle JKI[/tex] (Given)
Two angles and their included side are congruent in both triangles. So,
[tex]\Delta GHI\cong \Delta IJK[/tex] (ASA postulate)
[tex]\angle H\cong \angle J[/tex] (CPCTC)
Hence proved.
Related Questions
Carlos has 38 apples. He puts 8 apples into each bag if he fills as many bags as possible, how many apples are left
Answers
Answer:
6
Step-by-step explanation:
What you need to do is 38 ÷ 8. The answer would be 4 with a remainder of 6, so there are six apples left
i don’t know what to do, please help!!
Answers
Answer:
b 7
Step-by-step explanation:
open the bracket and the power gets cancelled because it will be 5/5
then answer will be 7 to the power 1 which is equals to 7
Enter the correct answer in the box.
Consider this rational equation.
Use the least common denominator to simplify the rational equation into a standard form quadratic equation.
Replace the values of b and c to create the equation.
Answers
Answer:
[tex]x^2-10x+8=0[/tex]
Step-by-step explanation:
[tex]\frac{1}{x} +\frac{1}{x-2}=\frac{1}{4} \\\\\frac{x-2+x}{x(x-2)} = \frac{1}{4} \\\\\frac{2x-2}{x(x-2)}=\frac{1}{4} \\\\4(2x-2)=x(x-2)\\8x-8=x^2-2x\\0=x^2-2x-8x+8\\0=x^2-10x+8\\x^2-10x+8=0\\[/tex]
Using the least common denominator in simplifying the rational equation, the result of in standard form is: [tex]\mathbf{x^2 -10x + 8 = 0}[/tex]
What is the Least Common Denominator (LCD)?Least common denominator is the smallest common multiple of the denominators of two or more fractions.It is useful when simplifying, adding, subtracting or comparing fractions.Given:
[tex]\frac{1}{x} + \frac{1}{x - 2} = \frac{1}{4}[/tex]
The least common denominator of the two fractions on the left side of the equation is x(x - 2).
Thus:
[tex]\frac{1(x - 2) + x(1)}{x(x - 2)} = \frac{1}{4}\\\\\frac{x - 2 + x}{x(x - 2)} = \frac{1}{4}\\\\\frac{2x - 2}{x^2 - 2x)} = \frac{1}{4}[/tex]
Cross multiply[tex]4(2x + 2) = 1(x^2 - 2x)\\\\8x + 8 = x^2 - 2x\\\\[/tex]
Rewrite in standard form[tex]0 = x^2 - 2x - 8x + 8\\\\0 = x^2 -10x + 8\\\\\mathbf{x^2 -10x + 8 = 0}[/tex]
Learn more about least common denominator on:
https://brainly.com/question/542317
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine's new position, in yards, with respect to sea level?
Answers
Answer:
- 121 7/24
Step-by-step explanation:
Initial Position = 66 2/3 below sea level
Ascent = 24 1/8
Descent = 78 3/4
New position of submarine :
Since initial. Position is below sea level, we finite with a negative sign :
-66 2/3 = - 200 /3
Ascent is positive ; 24 1/8 = 193 / 8
-200 /3 + 193 / 8
(-1600 + 579) / 24
= - 1021 / 24
Descent = 78 3/4 (negative) downward
78 3/4 = - 315/ 4
-1021 / 24 - 315/4
(-1021 - 1890) / 24
= - 2911 / 24
= - 121 7/24
121 7/24 below sea level
Two S-year old girls, Alyse and Jocelyn, have been training to run a mile racc Alyse's I mile A is approximately Normally distributed with a mean of 13.5 minutes and a standard deviation of 2.5 minutes. Jocelyn's I mile time approximately Normally distributed with a mean of 12 minutes and a standard deviation of 1.5 minutes. Assuming A and J are independent random variables, what is the probability that Alyse has a smaller time than Jocelyn in a 1 sile race on a randomly selected day?
Answers
Answer:
Step-by-step explanation:
Heyyyyy ah ha ha help I’m begging please someone god bless
Answers
Answer:
Step-by-step explanation:
Domain of a function is a set of x-values (input values) for which the function is defined.
Range of a function is a set of y-values (output values) for the given set of input values.
7). Domain → (-∞, ∞)
Range → (-∞, ∞)
8). Domain → (-∞, ∞)
Range → [-2, ∞)
9). Domain → [-2, 2]
Range → [-3, 3]
10). Domain → (-∞, ∞)
Range → [-1, 1]
the equation y=3x+2 ?
Answers
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____.. a. $8.20 b. $10.30 c. $12.30 d. $16.40 Please select the best answer from the choices provided A B C D
Answers
Step-by-step explanation:
The approximate tip is - 12.30$
Because bill is 81.79$
and tip - 15%
therefore bill amount divided by 15/100
==> 81.79* 15% is 12.30$
13 points!!
The table below shows the heights of five different people.
table shown below
Jackson has a height of 55 inches. Which is true if Jackson is added to the data set?
Answers
Answer:
The Mean Decreases.
Step-by-step explanation:
Answer:
the answer is Cindy and i dont understand what your trying to say but if your saying witch one is closer to Jackson then yeah Cindy
Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number
Answers
A number plus ten,
Ten more than a number.
Answer:
The sum of a number and ten
A number plus ten
Ten more than a number
Step-by-step explanation:
edg
2. Two rectangular fields with identical shapes and areas are to be fenced side by side. The total area enclosed is 8mi^2 and the perimeter for all the fencing is 16 miles. Find the possible dimensions of one of the fields (2 possible answers).
Answers
Step-by-step explanation:
Let length is x and breadth is y.
The formula for the area and the perimeter of a rectangle is given by :
A = xy
P = 2(x+y)
Here, A = 8 mi² and P = 16 miles
Putting all the values,
xy = 8
y=8/x ......(1)
2(x+y) = 16
x+y = 8 .....(2)
Put equation (2) in equation (1) as follows :
[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]
When we solve, we get :
x = 6.82 miles, 1.17 miles
Put the value of x in equation (1)
When x = 6.82 miles,
y = 8/6.82
y = 1.17 miles
When x = 1.17 miles,
y = 8/1.17
y = 6.82 miles
Hence, the dimension of the field is 6.82 miles and 1.17 miles.
Jason used 0.5 cup of kernels to make 16 cups of popcorn how many cups of popcorn would he make if he used 0.75 cup of kernels.
A. 32
B. 28
C. 24
D. 20
PLEASE HELP ME IM DAILING MATH
Answers
Answer:
Option C: 24 is the correct answer.
Step-by-step explanation:
Given that:
Jason used 0.5 cup of kernels to make 16 cups of popcorn
Ratio of cup of kernel to cups of popcorn = 0.5 : 16
Let,
x be the cups of popcorn made from 0.75 cups of kernel
Ratio of cups of kernel to cups of popcorn = 0.75 : x
This is a direct proportion as the cups of kernel is increasing.
0.5 : 16 :: 0.75 : x
Product of mean = Product of extreme
16*0.75 = 0.5x
12=0.5x
0.5x=12
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]
Jason can make 24 cups of popcorn from 0.75 cups of kernel.
Hence,
Option C: 24 is the correct answer.
g(x)= 3x-5
h(x)=2/2x+3
write h(g(x)) as an expression terms of x
Answers
Answer: h(g(x))= 2/6x-7
Step-by-step explanation:
1.h(g(x))= 2/(g(x))+3
2.g(x)= 3x-5
h(g(x))= 2/2(3x-5)+3
=2/6x-10+3
=2/6x-7
At the beginning of the week, a stock was $82.73 per share.
On Monday, the stock gained $0.19 per share.
-On Tuesday, it gained $0.07 per share.
-On Wednesday, the stock lost $0.13 per share.
-On Thursday, it lost $0.25 per share.
On Friday morning, what was the price of the stock per share?
Answers
A wire is attached to a 425-foot tower that is perpendicular to the ground. The wire makes an angle of 26.5o to the ground. what is the length of the wire in feet
Answers
Answer
952.49feet
Step-by-step explanation:
This set up will be a right angled triangle
Height = opposite side = 425foot
Length of wire = hypotenuse= x
Angle of elevation= 26.5°
Using the SOH identity
Sin 26.5 = opp/hyp
Sin26.5 = 425/x
x = 425/sin26.5
x =425/0.4462
x = 952.49feet
Hence the length of the wire is 952.49feet
The state fair charges $14 for admission. Each ride costs $6.
What is the function that relates the amount spent, S, to the number of rides, r?
Answers
Answer:
S = 6r + 14
Step-by-step explanation:
14 is the intercept(which wont increase), and 6 is the slope which will increase with every ride
Pls help I cant do this
Answers
Answer:
Here you go!
Step-by-step explanation:
Hope this helped!
Answer: a=7
d=2
Step-by-step explanation:
What is the solution to the equation 2/3x+1=1/6x-7?
O X=-16
O x=-4
O x=4
OX = 16
Answers
Answer:
The answer is x=-16.
Step-by-step explanation:
I cant give you the step by step explanantion but I can later! I hope this helps thoough!
Let $r$ and $s$ be the roots of $3x^2 + 4x + 12 = 0.$ Find $r^2 + s^2.$
Answers
Use a similar strategy as in your other question, [19925664].
3x² + 4x + 12 = 3 (x - r ) (x - s)
3x² + 4x + 12 = 3 (x² - (r + s) x + rs)
3x² + 4x + 12 = 3x² - 3 (r + s) x + 3rs
so that
r + s = -4/3
rs = 12/3 = 4
Recall that
(r + s)² = r² + 2rs + s²
so that
r² + s² = -2rs = -2(4) = -8
Energy can be transferred from one form to another. We use many energy converters in our daily life. Observe carefully to find these energy converters in your home. Make a list of any 10 converters including their names along with their energy chains.
Answers
Our bodies convert chemical energy in our food into mechanical energy for us to move.
An electric fan transforms electrical energy into kinetic energy.
I NEED HELP PLZZ ANSWER PLUS GIVE STEPS
Answers
Answer:
1. y=-4/3x+9
2. y=-4x+6
Step-by-step explanation:
1.y=-4/3x+b
put in 3,5 into equation
5=-4/3(3)+b
5=-4+b
9=b
so y=-4/3x+9
2. y=4x+b
2=4(-1) +b
2=-4+b
6=b
y=-4x+6
Comparing Linear Functions Written in Different Ways Compare the linear functions expressed below by data in a table and by an equation. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative four-thirds, 1, 4. Column 2 is labeled y with entries negative StartFraction 9 Over 2 EndFraction, negative 1, three-fourths, 3. y = three-fourths x. Which of the following statements are true? Select all that apply. If the equation were graphed, it would be a horizontal line. Both functions have the same slope. The origin is the y-intercept for the function expressed in the table. The linear equation does not have a y-intercept. The table and the graph express an equivalent function.
Answers
Answer:
#2
Both functions have the same slope.
#3
The origin is the y-intercept for the function expressed in the table.
#5
The table and the graph express an equivalent function.
Answer:
B, C, E
Step-by-step explanation:
I got it right on edge
An airplane is flying from nyc to la. The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation d=0.15t
Answers
Answer:
It will cover 4.5 miles in 30 seconds.
Step-by-step explanation:
An airplane is flying from nyc to la.
The distance it travels in miles,d, is related to the to the time in seconds, t, by the equation :
d=0.15t ...(1)
Let us assume we need to find the distance at t = 30 s.
Put t = 30 s in equation (1).
d=0.15 × 30
d = 4.5 miles
Hence, it will cover 4.5 miles in 30 seconds.
Can somebody plz help answer all the questions correctly thanks!
(Only if u know how to do this)
WILL MARK BRAINLIEST WHEOEVER ANSWERS FIRST :DD
Answers
Answer:
%50
%-15
%40
%62.5
%27.5
%60
Step-by-step explanation:
Can someone please help even bubbling in with no work is ok I just don’t understand.
Answers
Answer:
This is as much as I could do.
Step-by-step explanation:
Steps r in pic below
Which statement best explains why citizens are required to pay taxes to the government? (3 points)
A) If citizens do not pay taxes, they will lose their legal citizenship.
B) Citizens who pay taxes receive special benefits, such as free food.
C) Taxes help pay for the services government provides, such as education.
D) Taxes are paid back to the people evenly, helping spread money around.
Answers
Answer:
C.
Step-by-step explanation:
A. Is false because citizens do not lose their citizenship if they fail to pay taxes.
B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.
D. Is false because taxes don't go directly back to the people as cash payouts.
Answer:
The real answer is c.
Step-by-step explanation:
Taxes that we pay goes tords goverment things such as school. Smiles have a good day!
Helppp me out this is my last question
Answers
Answer:
option 3
Step-by-step explanation:
what is the sum of all interior angles of a parallelogram
Answers
A parallelogram is a quadrilateral, so the answer is 360 degree so
this is algebra ,
what is the minimum unit cost?
Answers
Answer:
search it up
Step-by-step explanation:
The change in the value of stock is represented by the rational number -5.90. Describe, in words, what this means.
Answers
Answer:
DEFINITION of Value Change
Value change is an adjustment made to a stock's price to reflect the number of outstanding stock shares issued and currently held by investors. A value change allows the group of stocks to be equally weighted and, therefore, more easily evaluated. Since the number of shares held by investors changes daily, this number can be updated daily to reflect the changes.
I am just giving you a definition but i dont know if this is going to help you
Step-by-step explanation: