The theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
What is the Hypotenuse-Leg Congruence Theorem?The Hypotenuse-leg Congruence Theorem (HL) states that if one leg and hypotenuse of a right triangle are congruent to one corresponding leg and hypotenuse of another, both right triangles are congruent.
The two right triangles have a pair of congruent legs and a pair of congruent hypotenuse.
Therefore, the theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).
Learn more about Hypotenuse-leg Congruence Theorem (HL) on:
https://brainly.com/question/16921692
A school allots £2000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £32 each and are on offer for 1 4 off. A train ticket for the day will cost £12 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
Answer:
£20
Step-by-step explanation:
Given that:
Total amount alloted = 2000
Ticket cost = 32
Discount = 1/4 off
Hence, ticket price = 3/4 * 32 = 24
Train ticket cost = 12
Total cost per person = £(12 + 24) = £36
Hence, alloted amount / cost per person
= £2000 / £36
= 55.55
Total number that can attend = 2 teachers and 53 students
Change = £2000 - (£36*55)
= £20
Help please it says round your answer to the nearest hundredth
Answer:
∠ B ≈ 62.73°
Step-by-step explanation:
Using the sine ratio in the right triangle.
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{8}{9}[/tex] , thus
∠ B = [tex]sin^{-1}[/tex] ([tex]\frac{8}{9}[/tex] ) ≈ 62.73° ( to the nearest hundredth )
Write the equation for the line that is parallel to the given line and that contains
the given point. Use the point-slope form of the equation of a line.*
(-3,4) y=-x-11
Answer:
x + y - 1 = 0
Step-by-step explanation:
y = -x - 11
therefore its slope is -1
x1= -3
y1 = 4
m = -1
from, y - y1 = m(x -x1)
y - 4 = -1(x + 3)
y -4 = -x -3
x + y -1 = 0
3/-4 divided (-2 1/3)
Ben walks 500 meters from his house to the corner store. He then walks back toward his house, but continues 200 meters past his house to talk to a neighbor. It takes Ben 17 minutes from the time he leaves his house until he stops to talk to his neighbor. What is Ben’s average velocity? Round to the nearest tenth. 0.2 m/s 0.5 m/s 0.7 m/s 1.2 m/s
Answer:
A is the answer
Step-by-step explanation:
i did it on edg2020
Answer:
a
Step-by-step explanation:
just did it
Help pls!!
given j || k given two angles that alternate exterior
Answer:
<2 and <7
<1 and <8
Step-by-step explanation:
Write the recurring decimal 0.63as a fraction
Answer:
63/100, this can't further more simplified
Step-by-step explanation:
i hope it helped you please give me brainliest
Which equation could be equivalent to 22 - 3?
Answer:
22 + (-3)
Step-by-step explanation:
Adding a negative is the same as subtracting a positive.
find the slope of the line through each pair of points
1. (-9,-20)(6,-15)
2. (13,-2)(6,15)
3. (8,6)(-2,-6)
4. (-19,19)(17,7)
Quick i will mark brainliest i need anwser by tommorow before 9am or a fail
Answer:
1. m = 1/3
2. m = -2.43
3. m = 1.2
4. m = -1/3
two qualities, x and y, if x is doubled what happends to y?
Answer:
it gets doubled too bc if one quantity is doubled then the other is too
Step-by-step explanation:
Identify the slope from the equations y = -x -6
Answer:
The slope of the line is -1
I've attached a screenshot of a website that can solve function.
May I have brainliest please? :)
Y’all I need help I need a good grade on this
Answer:
SLOPE IS -3
Step-by-step explanation:
4-7 over 0-(-1)
What is the relationship between segments?
Answer:
When you have intersecting segments such as these, the relationship is that the product of the segment pieces of one segment is equal to the product of the segment pieces of the other. You can use this relationship to help you solve problems that ask you find the length of a missing segment piece.
12x-9=10x-15 Help me answer this please
Answer:
x = -3
Step-by-step explanation:
Given:
12x - 9 = 10x - 15
Now, let's add 15 to both sides of the equation.
12x + 6 = 10x
Now, let's subtract 12x from both sides of the equation.
6 = -2x
Now, let's divide both sides by -2.
-3 = x
The distance a jet travels varies directly with the number of hours flown. A jet travels 1,350 miles in three hours. If the jet continues to travel at the same rate, how far will it fly in seven hours?
Answer:
3150
Step-by-step explanation:
1350/3= 450
1350+1350+450= 3150
A recipe calls for 2 teaspoons
of sugar for every 3 cups of
flour. How much sugar will be
needed for 9 cups of flour?
Answer:
he is right
Step-by-step explanation:
Help please ill brainlist
Answer: a
Step-by-step explanation: i took the test
How many sides does a nonagon have?
sides
Answer:
9 sides due to the fact, the prefix nona means nine or ninth
Answer:Nine sides
Step-by-step explanation: have a good day :)
PLEASE HELP,, GIVING BRAINLIEST!!!!
What’s the value of y? Show your work.
Answer:
60
Step-by-step explanation:
7^2=7^2 +7^2 -2(7)(7).cos y
[tex]1/2 =cos y\\60 =y\\[/tex]
Factor 10z + 45.
i need help!
Answer:
5(2z +9)
Step-by-step explanation:
factor out 5 of 10z +45
A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?
If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?
x
30 - x
30
Answer:
10 pounds of the $1.50 chocolate were used.
30 - x represents the number of pounds of the 0.90 chocolate used.
Step-by-step explanation:
30 * 1.10 = 1.5x + 0.9 (30 - x)
33 = 1.5x + 27 - 0.9x
0.6x = 6
x = 10
Answer:
30 - x
Step-by-step explanation:
1. Choose the word form for: 56.23 *
fifty six and twenty three thousandths
fifty six and two tenths
fifty six and twenty three hundredths
five hundred six and twenty three hundredth
Answer:
The third one
Step-by-step explanation:
50 Fifty 3 three . and 20 twenty 3three hundreths
help find missing segment??
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Let x as the missing segment.
_________________________________
According to the Thales theorem :
[tex] \frac{26}{x} = \frac{12}{36} \\ [/tex]
[tex] \frac{26}{x} = \frac{12}{12 \times 3} \\ [/tex]
[tex] \frac{26}{x} = \frac{1}{3} \\ [/tex]
Inverse both sides
[tex] \frac{x}{26} = \frac{3}{1} \\ [/tex]
[tex] \frac{x}{26} = 3 \\ [/tex]
Multiply sides by 26
[tex]26 \times \frac{x}{26} = 26 \times 3 \\ [/tex]
[tex]x = 26 \times 3[/tex]
[tex]x = 78[/tex]
Thus the missing segment has a measure of 78 .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Write each algebraic expression in words.
Then evaluate each expression for n = 6.
a) 4n:
b) n + 8:
c) n/2:
d) 7 + 3n:
e) 10n – 15:
f) 50 – 8n:
Please help :(((
i have no idea how to solve this. please help?
let me see some q,,,,,,,,,,,,,,,
Step-by-step explanation:
huh??????????????????
Question- Solve for a
2a+b=x
Answer:
a = (x - b)/2
Step-by-step explanation:
2a + b = x
-b -b
2a = x - b
/2 /2
a = (x - b)/2
for ex:
x = 3
b = 2
a = ((3) - (2))/2 = 0.5
a = 0.5
2a + b = x
2(0.5) + 2 = 3
Are the lines 12x + 3y=-9 and -8x – 2y = 14 parallel?
Answer:
Yes, the lines are parallel.
Answer:
they are parallel
Step-by-step explanation:
slope of both line come 4
HELP ASAP
Matthew made a fruit salad, in which the ratio of blueberries to red grapes is 8:6. If Matthew used 36 red grapes and the rest were blueberries. How many pieces of fruit are in Matthew’s fruit salad? [Type your answer as a number.]
Answer:
84 pieces of fruit
Step-by-step explanation:
The number of pieces of fruit are in Matthew’s fruit salad --> 48+36=84
PLEASE ANSWER QUICKLY!!
Answer:
the answer is vsco girls are annoying
Step-by-step explanation:
Answer: m=6 I think n=14
Step-by-step explanation: