Answers
From the proof below, we have been able to prove that IK bisects ∠HIJ by CPCT postulate
How to complete the proof of congruent angles?Congruent angles are defined as angles that have equal measure.
Now, we are given that;
IK bisects ∠HKJ
HK ≅ JK
Thus, since IK bisects ∠HKJ, then it means that by definition of angle bisector that;
∠HKI = ∠JKI
Now, we are also told that HK ≅ JK.
Now, by reflexive property of congruence, we can say that IK is congruent to itself.
Thus, we now have 2 congruent sides and an include angle and as such both triangles are congruent by SAS Congruency postulate.
Thus, we can conclude that ∠HIK = ∠JIK by CPCT which states that Corresponding parts of Congruent Triangles are congruent.
Read more about proof of congruent angles at; https://brainly.com/question/3168048
#SPJ1
Related Questions
What is the GCF of:
4n. 16n2, 8n
Answers
Answer:
1st expression=4n
2nd expression=16n²=4n×4n
3rd expression=8n=2×4n
so
GCF=4n
1. Mike has 43 books in his library. He bought several books at a yard sale over the weekend. He now has 67 books in his library. How many books did he buy at the yard sale?
2. After paying 9 dollars for the pie, Sam has 87 dollars left. How much money did he have before buying the pie?
3. Last week Jason had 12 dollars. He washed cars over the weekend and now has 93 dollars. How much money did he make washing cars?
4. There are 31 pine trees currently in the park. Park workers will plant more pine trees today. When the workers are finished there will be 68 pine trees in the park. How many pine trees did the workers plant today?
5. Sam's high school played 14 hockey games this year. The team won most of their games. They were defeated during 3 games. How many games did they win?
6. Joan had 22 peaches left at her roadside fruit stand. She went to the orchard and picked more peaches to stock up the stand. There are now 76 peaches at the stand, how many did she pick?
7. Fred received 60 dollars for his birthday. He went to a sporting goods store and bought a baseball glove, baseball, and bat. He had 22 dollars left over, how much did he spent on the baseball gear?
8. How many ink cartridges can you buy with 204 dollars if one cartridge costs 17 dollars?
9. After eating at the restaurant, Mike, Joan, and Sally decided to divide the bill evenly. If each person paid 23 dollars, what was the total of the bill?
10. There were 11 bales of hay in the barn. Mike stacked more bales in the barn today. There are now 70 bales of hay in the barn. How many bales did he store in the barn?
I need your help.
Answers
Answer:
1- 24
2- $96
3- $7.75
4- 37
5- 11
6- 54
7- $38
8- 12
9- $46
10- 59
In the following diagram, BC is parallel to DE.
What is the measure of X?
Angles are not necessarily drawn to scale
Answers
Answer:
Your answer would be 37°
Step-by-step explanation:
Since BC and DE are parallel, certain angles will be the same, such as the missing interior angle of the triangle and ∠DAF, which will also have the same measure as x.
We know that the sum of all of the interior angles of a triangle must equal 180°. So, we add 41 and 102 to get 143. This means that the missing interior angle must be 37°, since 37+143=180.
As mentioned above, because BC and DE are parallel, the missing interior angle has the same measure as ∠DAF, which is a vertical angle to x, and therefore also has the same measure. So, the measure of x is 37°.
Hope this helps you!
Someone plz help me
Answers
Answer:
a
Step-by-step explanation:
YALL PLEASEE HELP MEE i am very confused and I need to pass this
Answers
Math-way!! I think it’s the third option though❤️ (give me Brainly pls)
Answer:
i dont know but its b
Step-by-step explanation:
Geometry problem, please help ASAP
Answers
Answer: 255.988°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent(side), H=hypotenuse)
They gave us the quest to find the adjacent side, so we can cross off SOH. The angle of elevation is 38 and the angle is adjacent to the right angle(side) and they gave us the opposite which is 200. Now we can also cross off the CAH because they didnt give us or ask for the hypotenuse. SO now solving time.
tan(38)=[tex]\frac{200}{x}[/tex], since x is on the bottom we switch.
x=[tex]\frac{200}{tan(38)}[/tex]
x=255.988°
Every month, $80 is withdrawn from tom's savings to withdrawn no more than $240. For how many months can tom pay for his gym membership?
Tom can pay for _______ (here are the choices)
•less than
•more than
•no less than
•no more than
Tom can pay for (the choice above) _____ months of his membership.
This is a one-step inequality btw
Answers
Tom can pay for no more than 24o dollars.
A recipe that serves 8 calls for 2 ½ cups of flour. How many cups of flour should you use if you want to adjust the recipe to make 12 servings?
Answers
Answer:
3 3/4 cups of flour
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
8 2.5 cups
------- = ----------------
12 c
3 3/4 cups of flour to adjust the receipt as described.
(1)/(8)-1(7)/(8) please help
Answers
Answer: -0.75
1/8 - 1(7)/8 = -3/4= -0.75
Answer:
[tex]\frac{1}{8} -1\frac{7}{8}[/tex]
[tex]\frac{1}{8} -\frac{15}{8}[/tex]
[tex]\frac{1-15}{8}[/tex]
[tex]-\frac{14}{8}[/tex]
[tex]-\frac{7}{4}[/tex]
[tex]-1\frac{3}{4}[/tex]
Step-by-step explanation:
The value of a new $5400 sailboat decreases 10% per year. Find its value after 5 years. Round to the nearest penny.
Answers
Answer:
FV= $3,352.98
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $5,400
Number of periods (n)= 5 years
Interest rate (i)= 10%
To calculate the future value (FV), we need to use the following formula:
FV= PV / (1 + i)^n
FV= 5,400 / (1.1^5)
FV= $3,352.98
Anybody help me please!!!!!!!!!!
Answers
Find a formula for a_n (for the geometric sequence), then find the 8th term. Solve for both or one of these questions, thank you so much!
Answers
Answer:
2a. aₙ = 12 * -2ⁿ⁻¹; a₈ = -1536
2b. aₙ = 4 * 3ⁿ⁻¹; a₈ = 8748
Step-by-step explanation:
The geometric sequence formula is aₙ = a₁ * rⁿ⁻¹.
2a:
a₈ = 12 * -2⁸⁻¹ {Subtract 1 from 8 to get 7}
a₈ = 12 * -2⁷ {2⁷ is 128. Since the exponent is odd, this will be negative.}
a₈ = 12 * (-128) {Multiply 12 by -128 to get -1536.
a₈ = -1536
2b:
a₈ = 4 * 3⁸⁻¹ {Subtract 1 from 8 to get 7)
a₈ = 4 * 3⁷ {7 is the 3rd number after 4 (a multiple of 4). As a result, this will end in a 7. 3⁷ is 2187.}
a₈ = 4 * 2187 {Multiply 4 by 2187 to get 8748}
a₈ = 8748
Find the value of x if 2x = 20 .
Answers
Answer:
x = 10
Step-by-step explanation:
Divide both sides by 2.
(2x) / 2 = 20 / 2
x = 10
Answer:
The answer is going to be 10.
Step-by-step explanation:
1) Diving both sides by 2.
[tex]x = \frac{20}{2} [/tex]
2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.
[tex]x = 10[/tex]
Therefor, the answer for x is x = 10.
what two numbers multiply to 36 and add to -20
Answers
Answer:
Those numbers are -18 and -2
Explanation:
(-18)*(-2)=36
-18+(-2)=-18-2=-20
Answer:
x*y=36
x+y=-20
so it would be -18 and -2, :)
Step-by-step explanation:
please help me :(:(:(:(:(
Answers
Answer:
$1,568.00
Step-by-step explanation:
I=700 x 0.28 x 8 =1568
The simple interest accumulated on a principle of $700 at a rate of 0.28% per year for 8 years is $1,568.00
Someone please solve this today!!
Please show work !
Also don’t waste your time sending that link that hacks you :/
Answers
Answer:
D
Step-by-step explanation:
bx -b -ax +a
collect like terms
bx - ax. + a - b
x(b-a) + b +a
Solve the inequality. g + 6 > 5
Answers
Answer:
g > -1
Step-by-step explanation:
g + 6 > 5
You want g alone on the3 left side.
6 is being added to g, so subtract 6 from both sides of the inequality.
g + 6 - 6 > 5 - 6
g > -1
pls help im new to this and i could use a little help on this problem tysm if you do!!:)<33
Answers
Answer:
HOOO YOU SHOULD KNO THIS!!!
Step-by-step explanation:
Answer:
the answer is -2.
Step-by-step explanation:
trust me???
Help me please I’ll mark brainliest!!!!
Answers
Answer:
1.5
Step-by-step explanation:
Explanation:
0.3 x 5 = 1.5
Last year at a certain high school, there were 110 boys on
the honor roll and 75 girls on the honor roll. This year, the
number of boys on the honor roll decreased by 20% and the
number of girls on the honor roll decreased by 4%. By what
percentage did the total number of students on the honor
roll decrease? Round your answer to the nearest tenth (if
necessary).
Answers
Answer:
13.5 if you round it
Step-by-step explanation:
Find the new amount of people who got the honor role and subtract that from the total. 185-160=25....which is 13.5% of 1185
write a numerical expression Add 91, 129, and 16, and then divide
by 44. hurry i need help
Answers
Answer:
Step-by-step explanation:
5.364
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answers
Answer:
B and D
Step-by-step explanation:
Find the area of each figure and round to the nearest tenth if necessary
Answers
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
Given f(x) = {(4 - x)?, what is the value of f(16)?
Record your answer and fill in the bubbles on your answer document.
f(16) = -5592404
Answers
9514 1404 393
Answer:
48
Step-by-step explanation:
Put 16 where x is and do the arithmetic.
f(16) = 1/3(4 -16)^2 = 1/3(-12)^2 = 1/3(144)
f(16) = 48
PLEASE Answer asap!!!!
Answers
Answer:
x=0
Step-by-step explanation:
The axis of symmetry: [tex]x=\frac{-b}{2a}[/tex] when the equation is [tex]y=ax^2+bx+c[/tex]
The given equation is:
[tex]y=x^2-6[/tex]
To make the a and b values more easily identifiable, we can rewrite it like this:
[tex]y=1x^2+0-6[/tex]
Now, we can tell that a=1 and b=0. Plug these into the equation [tex]x=\frac{-b}{2a}[/tex] :
[tex]x=\frac{-(0)}{2(1)}\\x=0[/tex]
Therefore, the equation for the axis of symmetry for the parabola is x=0.
I hope this helps!
The coordinates of three corners of a rectangle are A(2, 3), B(-5,3), and C(-5, -2).
Part A
Plot points A, B, and C. Plot the fourth corner, D, and give its coordinates. What are D's Coordinates?
Answers
Answer: I took a screen shot of your answer hope this helps
Step-by-step explanation:
pleas make brainly
MARKED BRAINLIEST!!!
Answers
Answer:
(3,-4)
Step-by-step explanation:
Sorry if it is wrong
The probability that a student guesses the correct answer to a five-choice multiple choice question is P(correct)=0.2. How many correct answers should a student expect to guess on a test with 60 five-choice multiple choice questions?
Answers
Answer:
12 correct answers
Step-by-step explanation:
It is given that :
The probability of a student guessing the correct answer for a five choice multiple choice question is [tex]$\text{P(correct)}=0.2$[/tex]
Number of multiple choice questions = 60
So the number of correct answers that a student are expected to guess correctly on the test is :
[tex]$=60 \times 0.2$[/tex]
= 12
Sally is planning the school picnic and needs to decide what food vendor to
use. She asks 500 students whether they would rather have a taco truck or a
fruit smoothie cart. The results of the survey are shown in the table.
Taco truck Fruit smoothles Total
27
250
Eighth-graders 223
Ninth-graders 240
10
250
Total
500
463
37
What is the relative frequency of eighth-graders who want fruit smoothies?
O A. 0.02
OB. 0.50
O C. 0.27
O D. 0.05
Answers
Answer:
The relative number of 8th graders tat want smoothies is 0.18. Because when finding relative frequency you divide the number which was 45 by the final total which was 250.
So the correct answer is 0.18
(This is for another question like this)
Your answer would be D.) 0.05
Answer: It’s 0.05
Step-by-step explanation:
Got it correct
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
Answers
hence (1,7.5) or (5,37.5) points