Step-by-step explanation:
TrueFalseFor two triangle to be congruent,there must be any three sides or angle including congruent
Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:
Statement 1 is FALSE.Statement 2 is TRUE.Recall:
Two triangles having three pairs of corresponding sides have the same shape and size, and are congruent.Two triangles having three pairs of corresponding angles have the same shape but may have different sizes. They are rather similar.1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.
They will be congruent if all corresponding three pairs of sides of both triangles are congruent.Therefore, statement 1 is FALSE.
2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.
Therefore, statement 2 is TRUE.
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What is an equation in point slope form of the line that passes through (7, 1) and (-3,9)
Answer:
y= -4/5x+33/5
Step-by-step explanation:
for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.
x1=7 and y1=1
x2=-3 and y2=9
now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5
now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.
to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).
1= -4/5 x 7+b. b= 33/5
HOPE THIS HELPS!!
3x + 10 = 5x
which situation can be represented by this equation? HELPPP
Answer:
X=5
Step-by-step explanation:
10=2x divided by 2 means x=5
Factorise (2x+3y)²-(x-4y)²
Answer:
(3x−y)(x+7y)
Step-by-step explanation:
Factor (2x+3y)^2−(x−4y)^2
3x^2+20xy−7y^2
=(3x−y)(x+7y)
Answer:
(3x - y)(x + 7y)
Step-by-step explanation:
Given
(2x + 3y)² - (x - 4y)² ← is a difference of squares and factors in general as
a² - b² = (a + b)(a - b)
Here a = 2x + 3y and b = x - 4y , then
(2x + 3y + x - 4y)(2x + 3y - (x - 4y))
= (3x - y)(2x + 3y - x + 4y) = (3x - y)(x + 7y)
Thus
(2x + 3y)² - (x - 4y)² = (3x - y)(x + 7y) ← in factored form
3. What is the measure of angle ABE?
Answer:
50°
Step-by-step explanation:
Both angles are congruent
Answer:
The measure of angle ABE is 50 degrees because it is a vertical angle to CBD.
Step-by-step explanation:
Jacinda made 16 baskets during the basketball game. Greta made 4 baskets. The number of baskets Jacinda made is how many times more than the number of baskets Greta made? Choose the answer that has the correct equation AND the correct solution to the equation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Jacinda = 16 baskets
Greta = 4 baskets
The number of baskets Jacinda made is how many times more than the number of baskets Greta made?
To obtain this :
Number of baskets Jacinda made / Number of baskets Greta made
If Jacinda's basket = J ; Greta's basket = G
J / G
16 / 4 = 4
Hence, Number of basket Jacinda made is 4 times more than that made by Greta
From a ledge on rock wall, George climbs 30 feet. From there, he climbs-30 feet. What conclusion can you draw?
Answer:
back where he started
Step-by-step explanation:
First he went up 30 feet.
Then he went -30 feet.
Meaning that he went up the went back down.
Which is basically 30-30
I think that should be right.
Japanese 22 pirate for every two pirate ships he manages
Answer:
He should sell them he would be rich.
Step-by-step explanation:
Which equation shows the ASSOCIATIVE property?
Question 3 options:
6 - 9 + 5 = 6 - (-9) + 5
(6 + (-9) + 5) = (6 + 5) + (-9)
-9 + (6 + 5) = -9 - 6 - 5
(6 + (-9)) + 5 = 6 + (-9 + 5)
Answer:
69............ I see 69
Step-by-step explanation:
A relation is (1 point)
the output (y) values of the relation
the input (x) values of the relation
a set of points that pair input values with output values
x and y values written in the form (x, y)
Answer:
a set of points that pair input values with output values
Step-by-step explanation:
The set of points that relate, input values with output values.
A relation is a set of points that pair input values with output values.
Therefore the correct option is C.
In mathematics, a relation is a set of ordered pairs, where each pair consists of an input value (x) and an output value (y) that are related to each other in some way.
These ordered pairs represent the relationship between the input and output values of the relation.
So, a relation can be represented as a set of points in the coordinate plane, where each point represents an ordered pair (x, y). The relation itself is not specifically the input (x) values or the output (y) values, but rather the collection of all the paired values.
Therefore the correct option is C.
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What is the.least common multiple of 2 and 6
Answer:
2
Step-by-step explanation:
Answer:
The answer to this is: The Least Common Multiple of 2 and 6 is 6.
Step-by-step explanation:
Hope this helps :)
Solve: -3 - (-5) + (-2)
Answer:
answers 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
-3+5=2
2-2=0
A horse walked 30 minutes for 3.5 km and another 30 minutes for 2.5 km. What was the horse's speed in hours
Answer: Is it not 6km an hour?
Evaluate a2-b for a = 8 and b = 17.
The value of the expression is
Answer:
-1
Step-by-step explanation:
Assumuning your asking what a2-b is.
8(2) - 17
-1
Answer:
-1
Step-by-step explanation:
If A= 8 and B= 17...
8(2)-17
16-17
-1
Write the standard form of the equation y-3=-2/3(x+5)
Answer:
In linear standard form, 10x-15y=29
Step-by-step explanation:
The solution is y = ( -2/3 )x - 1/3
The standard form of the equation y-3=-2/3(x+5) is given by the equation A
where y = ( -2/3 )x - 1/3
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
So , the standard form of the equation of line is given by equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Now ,
y - 3 = -2 / 3 ( x + 5 )
Multiply by 3 on both sides of the equation , we get
3y - 9 = -2 ( x + 5 )
On simplifying the equation , we get
3y - 9 = -2x - 10
Adding 9 on both sides of the equation , we get
3y = -2x - 1
Divide by 3 on both sides of the equation , we get
y = ( -2/3 )x - 1/3
The equation of line is y = ( -2/3 )x - 1/3 where the slope of the line is -2/3 and the y intercept of line is -1/3
Hence , The standard form of the equation y-3=-2/3(x+5) is given by the equation A where y = ( -2/3 )x - 1/3
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Given m||n, find the value of x.
+
m
1579
Answer:
157°
Step-by-step explanation:
X is the alternative angle or 157°
Hence, x=157°
Find the value of X in the triangle shown below.
Choose 1 answer:
A) x=6
B) x=8
C) x=15
D)x=34
Answer:
It's D.
Step-by-step explanation:
Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply.
AD bisects ∠BAC.
AD bisects BC.
AD forms right angles with BC.
AD is perpendicular to BC.
AD is the perpendicular bisector of BC.
Answer: AD bisects BC
AD forms right angles with BC
AD is the perpendicular bisector of BC
Step-by-step explanation:
a common mistake people make when working with exponents is to multiply the base by the exponent instead of raising the base to the power of the exponent. For instance, they would mistakenly say that 2^3 is 6 (because 2x3=6) when the correct answer is actually 8 (2x2x2=8) are there any pairs of numbers for which this mistake in thinking actually gives the correct answer? In other words are there any solutions to the equation a^x=a X what are the?
Answer:
The pair of number are (2 and 1), (2 and 2)Step-by-step explanation:
The pair of number that makes the expression [tex]a^x = ax[/tex] true are 2 and 2 as shown:
where a = 2 and x =2
2² = 2*2
2² = 4
and:
2*2 = 4
Hence 2² = 2(2) = 4 making the expression [tex]a^x = ax[/tex] true for both pair of numbers
Also the number pair 1 and 2 makes the expression correct as shown:
[tex]2^1 = 2(1)\\2 = 2 (true)[/tex]
What is the product of five and a number, decreased by eleven
Answer:
5x-11
Step-by-step explanation:
This is the word problem as an expression
5x-55 represents the mathematical expression for the given statement.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is a statement, the product of five and a number, decreased by eleven,
Let the number be x, converting the given statement, into a mathematical expression, we get
5(x-11)
= 5x-55
Hence, 5x-55 represents the mathematical expression for the given statement.
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Describe what is happening in this graph.
Roller Skating
Answer:
The skater slows down, then gains speed quickly. The speed begins to slow until it becomes constant .
Step-by-step explanation: answer on edge
Martina begins a five at sea level. She dives down 20 feet, and then rises 7 feet. She dives again, going down 9 more feet. How far below sea level is Martina?
Answer:
22 feet belowStep-by-step explanation:
Total down 20+9=29Total up =7Net = 29-7=22feetWhat is the slope of the line between -8,5 and 4, -3
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Please help with this question, thank you.
Answer:
the conclusion is that AC and CB are equal distances because the midpoint is half of the line. hope this helps:)
which is the degree of 12x^4-8x+4x^2-3
Answer:
4 is the answear
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
402, 394, 386,...
Find the 33rd term.
Answer:
138
Step-by-step explanation:
its going down by 8's
so 8 times 33=264
402-264=138
Answer:it’s actually 146 I just did it and got it wrong from the other persons answer
Step-by-step explanation:
It’s to much to right just trust me I’m not lying
Slope of the points (0,-4) (2,-1)
Henry makes $12.50 per hour for the first 40 hours he works in a week. For 5 points
each additional hour he makes $18 per hour. How much did he make if he
worked 44 1/2 hours last week? *
Answer:
He made $581 if he worked 44 1/2 hours last week
Step-by-step explanation:
Let us solve the question
∵ Henry makes $12.50 per hour for the first 40 hours
∵ For each additional hour, he makes $18 per hour
→ We need to find how much he made if he worked 44 1/2 hours
→ At first, find his earning for the first 40 hours
∵ His earning in the first 40 hours = 40 × 12.50
∴ His earning in the first 40 hours = $500
→ Find how many hours he worked after the first 40 hours
∵ 44 1/2 - 40 = 4 1/2 hours
∴ He worked 4 1/2 hours over the first 40 hours
→ Find his earning from them
∵ His earning in 4 1/2 hours = 4 1/2 × 18
∴ His earning in 4 1/2 hours = $81
→ Now add the two amounts to find his total earning
∵ His total earning = 500 + 81
∴ His total earning = $581
∴ He made $581 if he worked 44 1/2 hours last week
Which of the following is equivalent of 8 as a fraction?
A.⅛ B.24/3 C.24/8 D.16/4
Answer:
B
Step-by-step explanation:
B. 24/3
24 divide by 3 is 8.
Im sorry if Im wrong
hat is the speed of a wave if the wavelength is 18 m and the frequency is 35 Hz? (Quick Hurry, need answer)
Find the product of -2*(-4)*9. Describe how you use the properties of
multiplication to find the product. Is the product positive or negative?
Answer:
72
Step-by-step explanation:
-2 x -4 = 8
8 x 9 = 72
Hope this helps! Please mark Brainliest!
Answer:
72 = Positive
Step-by-step explanation:
The property we use,
→ Associative property
Now the product will be,
→ (-2 × -4) × 9
→ 8 × 9 = 72
→ -2 × (-4 × 9)
→ -2 × (-36) = 72
Then the required sign is,
→ Positive (+ve)
Hence, the product is 72.