Which congruence theorem would complete the proof shown?
SSS
SAS
ASA
Answer:
ASA
C is correct
Step-by-step explanation:
We are given table of congruence of triangle.
1. Given: DC || AB and AD|| BC
2. If two lines are parallel then a tranversal line makes eight angles.
∠2=∠3 and ∠1=∠4 ( Alternate interior angle )
3 . If one side is common in two figure then reflexive property use.
CA = CA (Reflexive )
If we take two triangles ΔDAC and ΔCAB are congruent by above property.
ΔDAC ≅ ΔCAB by two angle and one side.
The property of congruence is ASA
4. ΔDAC ≅ ΔCAB by ASA
Hence, The 4th reason is ASA
Devin made some mistakes. Identify where he made each mistake:
24 ÷ 6 x (5 – 1)
= 24 ÷ 6 x 4
= 24 ÷ 24
= 1
How can 32 over 6 be expressed as a decimal?
The price of a set of kitchen cabinets is $1,500 in January. In February, the price is increased by 10%. After not selling, the price is reduced by 5% in March. What is the price in March?
The great pyramid in Egypt was built around 2560 BC over the years it has lost 30 feet of height off its top and is now 451 feet tall. Find the original height of the great pyramid
When the Citizens United decision was handed down, a flood of corporate cash was expected to enter the political system. The ruling did result in more corporate and union spending, but far less than anticipated because__________.?
Which of the following statements about bullying is true? A. Children will independently learn positive behaviors as they mature B. Bullying is not harmful. C. Bullying is just a phase and children will grow out of it. D. Types of bullying include physical, verbal, emotional, and cyberbullying.
Types of bullying include physical, verbal, emotional, and cyberbullying about bullying is true. Correct option is D.
Option D is the correct statement. Bullying can take various forms, and the four main types of bullying are physical (e.g., hitting, pushing), verbal (e.g., name-calling, teasing), emotional (e.g., spreading rumors, excluding someone), and cyberbullying (bullying that takes place online or through digital means). It is essential to recognize and address these different types of bullying to create a safe and supportive environment for children and prevent harm.
To know more about bullying:
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Evaluate the expression choose the best answer 8P3
A. 6,720
B. 876
C. 1,680
D. 336
HELP!!!!!
My father is currently 13 times as old as my daughter. next year, my father will be 11 times as old as my daughter. how many years old is my father now?
A quarter-circle with a diameter of 4 meters. What is the area?
Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x – 4. Her graph is shown below. What are the solutions of –x2 + 4x = x – 4? A.–5 and 0
B.–5 and –1
C.–1 and 4
D.0 and 4
Answer
C.–1 and 4
Explanation
Solving the equations y = –x² + 4x and y = x – 4
–x² + 4x = x – 4
x² - 4x + x = 4
x² - 3x = 4
x² - 3x + (3/2)² = 4 + (3/2)²
(x - 3/2)² = 4 + 9/4
= 6.25
x - 3/2 = √6.25 or x - 3/2 = -√6.25
x = 2.5 + 1.5 x = -2.5 + 1.5
= 4 = -1
What is the value of x using the pythagorean theorem ?
Evaluate (7² - 9 ) ÷ ( 55 - 35 ).
A: -34
B: 48
C: -4
D: 2
Which graph represents the solution set for -4(1-×)<-12+2×?
What do you do if you're looking for least common multiple and all your numbers are prime?
Please help with 2 questions thank you!
Show all work please!!
What is the new price of s shirt that is on sale for 50% off and has an original price of $50?
Final answer:
To calculate the new price of the shirt on a 50% sale off its original price of $50, divide the original price by 2, resulting in a new price of $25.
Explanation:
The question asks us to calculate the new price of a shirt that is on sale with a 50% discount from its original price of $50. To find the new price, you simply need to reduce the original price by the percentage of the discount. Since a 50% discount cuts the price in half, you divide the original price by 2.
Calculation:
Original price of the shirt: $50
Discount: 50% of $50 = $50 / 2 = $25
New price after discount: $50 - $25 = $25
Therefore, the new price of the shirt after a 50% discount is $25.
What is the measure of ∠SPQ in this rhombus?
m∠SPR = (2x+13)°
m∠QPR = (3x−12)°
Solution:
In a Rhombus The diagonals bisect the angles.
m∠SPR=m∠QPR
Substituting the given values :
2x+13=3x-12
Subtracting 2x both sides:
13=3x-2x-12
13=x-12
Adding 12 both sides:
x=25.
m∠SPR=2x+13=2(25)+13=50+13=63
m∠SPQ=2∠SPR
m∠SPQ=2m∠SPR
m∠SPQ=2x63=126
m∠SPQ= 126 degrees
The function b(n) = 12n represents the number of baseballs b(n) that are needed for n games. how many baseballs are needed for 15 games?
ed is using the recipe shown to make fruit salad he wants to use 30 diced stawberries in his vruit sald how many bananas apples and pears should ed use in his fruit sald
Answer:
4
Step-by-step explanation:
Need help
Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
Let x represent the number of pounds of lettuce that Kendra buys. Let y represent the number of pounds of tomatoes that Kendra buys.
Which inequality represents this situation?
A. 2.25x+2.65y>8
B. 2.25x+2.65y<8
C. 2.25x+2.65y≤8
D.2.25x+2.65y≥8
Answer: The correct option is
(D) [tex]2.25x+2.65y\geq8.[/tex]
Step-by-step explanation: Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.
x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.
We are to select the inequality that represents the situation.
We have
total amount of money that Kendra spends on lettuce is given by
[tex]a_l=2.5\times x=2.5x[/tex]
and the total amount of money that she spends on tomatoes is
[tex]a_t=2.65\times y=2.65y.[/tex]
Therefore, the inequality can be written as
[tex]a_l+a_t\geq 8\\\\\Rightarrow 2.25x+2.65y\geq8.[/tex]
Thus, option (D) is CORRECT.
trigonometry word problem
Five friends made 100 dollars working together.how much did each person make if the earnings are divded equally ?
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Answer: [tex]\dfrac{1}{8}[/tex]
Step-by-step explanation:
The given equation of a line : [tex]y = 8x + 5[/tex]
We know that general Slope-intercept form of equation is given by :-
[tex]y=mx+c[/tex], where m is the slope of the line.
When we compare the given equation the general slope intercept form of equation , we get
Slope of line = 8
We know that the product of slopes of two perpendicular line is -1.
Let m be the slope of line that is perpendicular to the line [tex]y = 8x + 5[/tex], then we have
[tex]-8\times m=-1\\\\\Rightarrow\ m=\dfrac{1}{8}[/tex]
Suppose you pay $21 for a pair of shoes that was originally $30. What was the percent of decrease in price for the shoes? Set up an equation, arrive at your answer, and check your work. Then clearly state your answer.
*SHOW WORK*
If three people had three cookies how many ways can they distribute the cookie
The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 2. What percent of the class is boys?
Four friends compared there bike riding times. Jess rode 4.25 km in 20 min. Corey rode 3.75 km in 18 min. Mia rode 3.5 km in 17 min. Zoey rode 3.6 km in 16 min.
Who rode at the greatest rate of speed?
A.
Jess
B.
Corey
C.
Mia
D.
Zoey
To find the value of an expression is called
how do you do 36-7p=-7(p-5)
equation 36-7p=-7(p-5) simplifies to 36=35 after distributing and cancelling variables which results in an inconsistency. Therefore, this equation has no solutions.
Explanation:The question involves working with linear equations. From the equation, 36-7p=-7(p-5), we will aim to isolate the variable, 'p'.
In this equation, start by distributing the -7 into the bracket. So, -7(p-5) becomes: -7*p + 7*5, which simplifies to: -7p + 35. Now, your equation should look like: 36 - 7p = -7p + 35.Next, let's cancel out -7p from one side by adding 7p to both sides. You get: 36 = 35.This is an inconsistency because 36 is not equal to 35. Therefore, this equation has no solution.Learn more about Linear equations here:https://brainly.com/question/32634451
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