Answers
Answer:
(see below)
Step-by-step explanation:
First, you know that the first statement given is Given.
Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.
To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.
Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.
This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.
To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."
It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.
Now you can prove these two triangles congruent by the SAS Postulate.
Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.
Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.
Your proof should look something like IMAGE.A.
Related Questions
2 1/2 divided by 3 4/6=?
Please help me.
Answers
Answer:
15/22
Step-by-step explanation:
a cylindrical water tank has a diameter of 4m and a height of 3m.while a water tank shaped like a rectangular prism has a length of 7m.a width of 2 meters and a height of 2 meters. which of the tanks can hold more water? by how many cubic meters?
Answers
Answer:
The cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
Step-by-step explanation:
We are given that
Diameter of cylinderical water tank, d=4 m
Radius of cylinderical water tank,r=d/2=4/2=2 m
Height of cylinderical water tank,h=3 m
Length of rectangular prism, l=7 m
Width of rectangular prism ,w=2 m
Height of rectangular prism, h=2m
Volume of cylinder=[tex]\pi r^2 h[/tex]
Where [tex]\pi=3.14[/tex]
Using the formula
Volume of cylinderical tank=[tex]3.14(2)^2\times 3=37.7m^3[/tex]
Volume of rectangular prism=[tex]lwh[/tex]
Using the formula
Volume of rectangular prism=[tex]7\times 2\times =28m^3[/tex]
Difference between volumes=37.7-28=9.7 cubic meters
Hence, the cylindrical tank can hold 9.7 cubic meter more water than the rectangular prism shape tank .
The table shows locations on a map.
Place
park
farmers market
Location
•(-2,2)
(-2,3)
(2, 2)
(6,-3)
post office
bus stop
Which places on the map are 4 units apart?
the park and the farmer's market
O the farmers market and the bus stop
O the post office and the park
O the post office and the bus stop
Answers
Answer:
The table shows locations on a map.
Place
parkfarmers marketpost officebus stopLocation
(-2,2)(-2,3)(2, 2)(6,-3)Which places on the map are 4 units apart?
O the park and the farmer's market
O the farmers market and the bus stop
✓ the post office and the park
O the post office and the bus stop
Step-by-step explanation:
Distance :---
[tex]→ \sqrt{ {(2 - ( -2 ))}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ {4}^{2} + {0}^{2} } = \sqrt{ {4}^{2} } = \boxed{4 \: units}[/tex]
Please help!!!!! Explain
Answers
Answer:
If the total price of an object is A, and we have a tax of X%, then the new price of the object is:
Price = A + A*(X%/100%) = A*(1 + X%/100%)
In this case, the initial price of the car is:
A = $16,368
a) the tax is 6.6%
In this case, the price will be:
Price = $16.368*(1 + 6.6%/100%) = $17,448.288
b) the tax is 8.25%
In this case, the price will be:
Price = $16.368*(1 + 8.25%/100%) = $17,718.36
c) the tax is r.
we only replace X% by r.
Price = $16.368*(1 + r/100%)
d) We want to solve for r the above equation, we just need to isolate r.
Price/( $16.368) = (1 + r/100%)
Price/($16.368) - 1 = r/100%
(Price/($16.368) - 1)*100% = r
3. Solve for x.
3r + 11
9x-14
Answers
(11 plus -19) = -8.
12x -8
divide both sides by 12 and you will have your answer!
Write an equation for a line perpendicular to h(t) = -2t +4 and passing through the point (-4, -1).
Answers
Answer:
y=1/2t+1
Step-by-step explanation:
To get a perpendicular line, the slopes have to be reciprocals.
Solve the system of equations –2 + y = 14 and -5x – 7y=10 by combining the
equations.
Submit Answer
attempt out of 2
o
PLEASE ANSWER!!
Answers
Answer:
Step-by-step explanation:
-2+y=14
-5x-7y=10
y=14+2
y=16
-5x-7(16)=10
-5x-112=10
+112 +112
-5x=122
x=-24.4
Find the value of each angle mentioned above.
Answers
Answer:
36°, 42°, 72°, 102°, 108°
Step-by-step explanation:
Angles at a point = 360°
Therefore:
(3x - 6) + x + 3x + 2x + (x + 6) = 360°
Open parthenogenesis
3x - 6 + x + 3x + 2x + x + 6 = 360
Add like terms
10x = 360
Divide both sides by 10
x = 36
✔️Value of each angle:
Plug in the value of x in each expression
x = 36°
3x - 6 = 3(36) - 6 = 102°
3x = 3(36) = 108°
x + 6 = 36 + 6 = 42°
2x = 2(36) = 72°
Can someone please tell me the answer ..
Answers
Answer:
148
Step-by-step explanation:
Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. The following is the amount ($000) earned per month by a sample of 15 Claiborne models:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 3.1 5.5 3.4 6.1 4.9
The following is the amount ($000) earned by a sample of 12 Klein models.
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 5.1 4.7
Required:
a. Find the degrees of freedom for unequal variance test.
b. State the decision rule for 0.05 significance level: H0: μLC ≤ μCK; H1: μLC > μCK.
c. Compute the value of the test statistic.
d. Is it reasonable to conclude that Claiborne models earn more? Use the 0.05 significance level.
Answers
Answer:
24 ; Tstat > Tcritical ; 0.052 ; Fail to eject the Null
Step-by-step explanation:
Claiborne model:
$4.7 $3.8 $6.7 $3.8 $3.9 $4.2 $4.0 $4.0 $4.8 $3.1 $3.1 $5.5 $3.4 $6.1 $4.9
Sample size, n1 = 15
Using calculator :
Mean, m1 = 4.4
Standard deviation, s1 = 1.056
Klein model:
$4.0 $3.8 $3.6 $2.5 $4.9 $5.2 $5.9 $4.9 $4.4 $3.6 $5.1 $4.7
Sample size, n = 12
Mean, m2 = 4.38
Standard deviation (s) = 0.923
To obtain the degree of freedom for unequal variances test, use the Relation :
Degree of freedom (DF) = (s1²/n1 + s2²/n2)² / { [ (s1² / n1)² / (n1 - 1) ] + [ (s2² / n2)² / (n2 - 1) ] }
(1.056^2/15 + 0.923^2/12)^2 / {[(1.056^2/15)^2 / (15 - 1)] + [(0.923^2/12)^2 / (12 - 1)]}
0.0211226 / (0.0003947 + 0.0004581)
= 24.768527
df = 24 rounded down to the nearest whole number.
Decision region :
α = 1-0.95 = 0.05
Tdf, 0.05 = 1.711
Tcritical = 1.711
Reject Null, if Tstat > Tcritical
The t - test statistic :
(m1 - m2) / (s1²/n1 + s2²/n2)
(4.4 - 4.38) / sqrt(1.056^2 / 15 + 0.923^2 / 12)
0.02 / 0.3812301
= 0.0524617
= 0.052
Since, Tstat < Tcritical, we fail to reject the Null. It is not reasonable to conclude that Claiborne model earns more.
Please help me on this question 30 points on the line
Answers
Answer:
4(x-3) = 8
Step-by-step explanation:
4 times the difference would be 4(x-y), and we already know what y is, which is 3. Finally, the "is 8" means "equals 8" giving us our equation: 4(x-3) = 8.
Answer:
4(x-3) = 8
Step-by-step explanation:
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answers
Answer:
The new jar would be smaller than the original.
Step-by-step explanation:
First you would have to find one 1/5 of the original size. This gives you the increased size.
Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.
1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.
The new jar would be smaller than the original.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
First, you would have to find one 1/5 of the original size. This gives you the increased size.
Then, you'd find 1/5 of the new size and subtract it from the increased size of the jar.
1/5 of the increased size is larger than 1/5 of the original size, so no matter what number it is, you'll always end up with a smaller-sized jar of coffee at the end.
To know more about scale factors follow
https://brainly.com/question/25722260
#SPJ2
Find the equation of the linear function represented by the table below in slope
intercept form
Answers
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
David canoes 20km downstream in 2.5 hours his return trip takes 4 hours find the rate of his current. A 1.5 km/h B 1 km/h C 0.5 km/h D 2.5 km/h
Answers
Answer:
1.5 km/hour
Step-by-step explanation:
d is the David's speed in still water
c is the speed of the current
Going with the current, he travels d+c km per hour.
Going against the current, he travels d-c km per hour.
d+c = (20 km)/(2.5 hours) = 8 km/hour
d-c = (20 km)/(4 hours) = 5 km/hour
Add the equations to eliminate the c terms
d+c = 8
d-c = 5
----------
2d = 13
d = 6.5 km/hour
c = 8-d = 1.5 km/hour
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answers
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
how do you solve these problems?
a. (2/7)x + 5= -21 and
b. 1/2(18x-2)=0
Answers
B is x=1/9
b) Simplify (4ab^2)^3
Answers
Answer:
[tex]64a^{3} b^{6}[/tex]
Step-by-step explanation:
[tex](4ab^2)^3[/tex]
=> [tex]4^{3} a^{3} b^{6}[/tex]
=> [tex](4 \times 4 \times 4) a^{3} b^{6}[/tex]
=> [tex]64a^{3} b^{6}[/tex]
The population of a small town was 1200 people in 1998. In 2008 the population of that same town was recorded as 6,000. What was the percent of increase?
Answers
Answer:
The population had a 400% increase
40 over 100 Simplify the fraction below (14 points)
Answers
Answer:
0.4
Step-by-step explanation:
40 divided by 100= 0.4
Factorise this expression as fully as possible
2x2 + 6x
Answers
Answer:
The factored expression is: [tex]2x(x + 3)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]2x^2 + 6x[/tex]
To factorize it as fully as possible, we first find the GCF between the numeric values, and the coefficients:
Numeric:
GCF between 2 and 6 is 2, because:
2 - 6| 2
1 - 3|
1 and 3 are not divisible by the same number, so 2.
Coefficient:
Between x² and x, x.
Factorizing:
Simplifying by 2x.
[tex]2x(\frac{2x^2}{2x}+\frac{6x}{2x}) = 2x(x + 3)[/tex]
The factored expression is: [tex]2x(x + 3)[/tex]
1. True or false: A function is a rule that assigns each input exactly one
output.
True
False
Answers
Two of the known angles in a trianglemeasure 120 and 22 What is the measure of the third angle?
Answers
Answer:
120+22+x=180
x=38
120+22+38=180
Step-by-step explanation:
Hope it helps
Mark me as brainiest
In an A-Frame house, the roof extends to the ground level. If each side of the roof meets the ground at a 62° angle, what will be the measure of the angle where the two sides of the roof meet?
Answers
Answer:
36 degrees
Step-by-step explanation:
Angles in a triangle add up to 180.
180-62-62=36
36 degrees
Step-by-step explanation:
Why is 2/10 equivalent to 1/5?
Answers
Answer:
If you divide both top and bottom of [tex]\frac{2}{10}[/tex] by 2, you get [tex]\frac{1}{5}[/tex]
Answer:
because you have to find common denominators
2/10= 1/5
2/10= 1x2/5x2
Whatever you do to the bottom, you do to the top so that is why i also multiplied the numerator by 2.
2/10=2/10
Hope it helped!! Pls mark brainliest :)) Have a good day
Step-by-step explanation:
What value of x satisfies the conclusion of the mean value theorem for f(x) = ln(x3) over the interval [1, e2]?
Answers
Answer:
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Step-by-step explanation:
According to the Mean Value Theorem, for all function that is differentiable over the interval [tex][a, b][/tex], there is at a value [tex]c[/tex] within the interval such that:
[tex]f'(c) = \frac{f(b)-f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds.
[tex]f'(c)[/tex] - First derivative of the function evaluated at [tex]c[/tex].
If we know that [tex]f(x) = \ln x^{3} = 3\cdot \ln x[/tex], [tex]f'(x) = \frac{3}{x}[/tex], [tex]a = 1[/tex] and [tex]b = e^{2}[/tex], then we find that:
[tex]\frac{3}{c} = \frac{3\cdot \ln e^{2}-3\cdot \ln 1}{e^{2}-1}[/tex]
[tex]\frac{3}{c} = \frac{6\cdot \ln e-3\cdot \ln 1 }{e^{2}-1 }[/tex]
[tex]\frac{3}{c} = \frac{6}{e^{2}-1}[/tex]
[tex]c = \frac{1}{2}\cdot (e^{2}-1)[/tex]
[tex]c \approx 3.195[/tex]
[tex]x \approx 3.195[/tex] satisfies the conclusion of the Mean Value Theorem for [tex]f(x) = \ln x^{3}[/tex] over the interval [tex][1,e^{2}][/tex].
Answer:
C. 1/2(e^2-1)
Step-by-step explanation:
Edge AP Cal 2022
Please Help ASAP
1. Andrew and Griffin both worked hard over the weekend. Together they earned a total of $65. Griffin earned $15 more than Andrew.
(a) Write a system of equations for the situation. Use a for the amount Andrew earned and g for the amount Griffin earned.
(b) Graph the equations in the system.
(c) Use your graph to estimate how much each person earned. (You must solve by graphing, other solving methods will not earn credit)
Answers
Answer:
2x-15=65
Step-by-step explanation:
You have to subtract 15 dollars from 65 because it is extra money that Griffin had earned. Now you are left with 40 so now you would divided 2 since its both Griffin and Andrew. At the end, Griffin earned 35 dollars and Andrew earned 20 dollars.
Photo attached please help
Answers
Answer:
Wow your on apec to?
Step-by-step explanation:
Wait could you show the whole question and the other answers please. I was going to say C.
I noticed a few others answers missing so I can't properly answer your question.
please help me
is importe
Answers
Answer:
11/24
Step-by-step explanation:
change it to :
20/24-9/24
then solve
Answer:
11/24
Step-by-step explanation:
10/12 - 3/8
10/12 + -3/8
5/6 + -3/8
20/24 + -9/24
20 + -9 / 24
= 11/24
a. If a spinner is spun twice, are the events
independent or not independent? Justify
your answer.
2
Answers
Look at the options and decide whether the choices may effect the other. If there are no options, then choose DEPENDENT because more than likely either choice will effect the outcome.
Determine whether the given relation is an implicit solution to the given differential equation. Assume that the relationship does define y implicitly as a function of x and use implicit differentiation.
y - ln y = x^2 + 1, dy/dx = 2xy/y - 1
x^2 + y^2 = 4, dy/dx = x/y
e^xy + y = x - 1, dy/dx = e^-xy - y/e^-xy + x
Answers
Answer:
dont know
Step-by-step explanation: