SAS congruence theorem should be used.
Option (B) is correct.
What is the SAS congruence theorem?
In Euclidean geometry, the SAS congruence theorem states that if two triangles have two sides of one triangle congruent (equal in length) to two sides of the other triangle, and the included angle is congruent, then the triangles are congruent. This theorem is often abbreviated as SAS, and is used in combination with other congruence theorems, such as ASA and SSS, to prove that triangles are congruent.
In the given picture, we can say both triangles has the same side of length 7 and along with it, one more side is of equal length.
and both triangles are having the right-angle,
so we can say that we can prove these triangles congruent by using SAS congruence theorem.
Hence, SAS congruence theorem should be used.
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Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =
Answer: 90 degrees
Step-by-step explanation:
BD=CD
2(BD)= BC
2
What is the x-coordinate of the solution to the system shown?
3x - y = 6
3x + y = 34
Answer:
6[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
In this equation I will do the elimination method.
3x-y=6
3x+y=34
6x=40
Simplify
x=6[tex]\frac{2}{3}[/tex].
Check:
3(6.666...)-y=6
20-y=6
-20 from 6
-y=-14
y=14
20-14=6
6=6
3x(6.666...)+y=34
20+14=34
34=34
Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
4. The graph shows a nonlinear function.
4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?
4b. What is the difference in outputs of the two functions at x = 0? Explain.
4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.
4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.
Answer:
A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input and the output of a linear function.
Step-by-step explanation:
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what is the least common denominator 5/8 and 3/4
Answer:
The least common denominator is 8, you need to multiply the 3 by 2.
Answer:
8
Step-by-step explanation:
the diagram shows 2 mathematically similar vases. vase A has height 20cm and volume 1500^3. vase B has volume 2592cm^3. calculate h, the height of vase b.
The height of vase b is 34.56 cm.
What is volume?In mathematics, volume is the space taken by an object.
V=pi*r²*h
Here, given that,
vase A has height 20cm =H
and volume 1500^3. =V
And, A & B similar vases.
Again, vase B has volume 2592cm^3 =v
let, h, the height of vase b.
both radius are equal
so, we get, V/pi*H = v/pi*h
i.e. 1500/20=2592/h
so, h= 34.56 cm
Hence, the height of vase b is 34.56 cm.
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Which of these arcs has a measure of 134 degrees?
• FJ
• DF
• EG
• DH
Answer:
[tex]df \: is \: correct \: answer[/tex]
Given f(x) = 6(1-x), what is the value of f(-5)?
The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?
15%
If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%
Jennifers math score for third quarter were 78, 89, 93, 73, 99, 87, 92, and 89 what is the range of her scores
Answer:
26
Step-by-step explanation:
range = [highest number] - [lowest number]
99-73=26
Solving Systems: Graphing Method
y = 4x+6
2x-3y=1
Answer:
vjgioio
Step-by-step explanation:
Answer:
Therefore x= -1.9
y= -1.6
Does anybody know what the answer to this question?
The simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
What is simplified form of the expression?
If a fraction's top and bottom have only the number one in common, then it is expressed in its simplest form. The top and bottom cannot be divided further and remain whole numbers, in other words. The phrase "lowest terms" is another term for the simplest form.
Consider, the given expression
[tex]\frac{(\frac{1}{x^2}-\frac{2}{y} )}{y-2x^2}[/tex]
We have to find the simplified form of the given expression.
Taking cross multiplication of numerator of the above fraction.
[tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2}[/tex]
Using: [tex]\frac{(\frac{a}{b} )}{c} = \frac{a}{b}*\frac{1}{c}[/tex]
⇒ [tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2} = \frac{y-2x^2}{x^2y} *\frac{1}{y-2x^2} = \frac{1}{x^2y}[/tex]
Hence, the simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].
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F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?
The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.
What are coding and decoding?Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.
Given, x## is defined as x## = x² - x.
Therefore,
A## = (A - 2)##
= (A - 2)² - (A - 2).
= A² - 4A + 4 - A + 2.
= A² - 5A + 6.
Let, A² - 5A + 6 = 0.
A² - 3A - 2A + 6 = 0.
A(A - 3) - 2 (A - 3) = 0.
(A - 3)(A - 2) = 0.
A = 3 Or A = 2.
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im so bad at this help plss
2 Dylan needs 2.5 liters of water for an experiment. He has 1.125 liters.
How much more water does Dylan need?
Show your work.
Dylan needs how many
liters of water.
So Dylan needs 1.375 liters of water more for his experiment.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
To find out how much more water Dylan needs, we can subtract the amount of water he currently has from the amount of water he needs for the experiment.
2.5 - 1.125 = 1.375 liters
So Dylan needs 1.375 liters of water more.
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Complete the equation of the line who’s y intercept is (0,-1) and slope is 4
Y=4x-1
The equation of a line is:
Y=mx+c
We are told that the slope is 4 which is also gradient, meaning that M=4
Now we are left with:
Y=4x+c
There are two ways to get C:
1. We know that C represents the y-intercept so immediately we can conclude that C=-1
2. You can work it out by substituting the coordinate for the X and Y value:
-1=4(0)+c
-1=C
So in conclusion, the equation of the line is:
Y=4x-1
enlarge the triangle by scale factor 1.5 using (4,4) as the centre of enlargement
Answer:
Step-by-step explanation:
The coordinates for the enlargement would be (-5,4) (-5,-2) (-2,-2)
35 PTS. Don’t explain. y=?
Answer:
180-25-60=95
Step-by-step explanation:
A square and an equilateral triangle are joined to form the polygon shown what is the sum of the interior angles of the polygon 240 degrees 360 degrees 420 degrees 540 degrees
Answer:
540°
Step-by-step explanation:
An equilateral triangle has 3 interior angles of 60°
A square has 4 interior angles of 90°.
When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:
60° + 90° = 150°
Then this figure has:
one angle of 60°
two angles of 150°
and two angles of 90°
(the image below illustrates this situation)
The sum of the interior angles is:
S = 60° + 2*150° + 2*90° = 540°
How much does a cat way on the moon
Answer:
Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.
Step-by-step explanation:
Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.
have a nice day /night\
may i please have a branlliest
Select all ratios equivalent to 2:14. A3:21b.1.2.c
16:112
The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C
What is equivalent ratios?Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.
2:14 = 2/14
Reducing 2/14 to the lowest terms = 1/7
2:14 is equivalent to 1:7
3:21 = 3/21 = 1/7
Reducing 3/21 to the lowest terms = 1/7
3:21 is equivalent to 1:7
1:2 = 1/2
1:2 is not equivalent to 1:7
16:112 = 16/112 = 1/7
Reducing 16/112 to the lowest terms = 1/7
16:112 is equivalent to 1:7
Hence, 2:14, 3:21 and 16:112 are all equivalent ratios
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Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.
Answer:
a) y(x) = (x + 2)^2 -2
b) minimum
c) (-2, -2)
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then vertex is minimum
• If a < 0 then vertex is maximum
Given
y = x² + 4x + 2
(a)
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² + 4x
y = x² + 2(2)x + 4 - 4 + 2
y = (x + 2)² - 2
(b)
Since a = 1 > 0 then vertex is minimum
(c)
(h, k ) = (- 2, - 2 ) ← coordinates of vertex
If -11y = -13, then y = 1.2
If -11y = -13, then y = 24
If -11y = -13, then y = -1.2
If -11y = -13, then y = 0.846154...
I don't know yet
Answer:
A.
Step-by-step explanation:
A = 1.18, but rounded, is 1.2
Answer:
A) -13.2
Step-by-step explanation:
it's the closest one
Please help me solve this equation. I need it ASAP! I included the question, and options for answers. Each step needs to have its own rule which I also included a picture of.
Answer:
reciprocal
Step-by-step explanation:
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Someone help please hurry !!! ASAP
Answer:
it's -4
Step-by-step explanation:
hope it helped!!!!!!
Answer:
-4
Step-by-step explanation:
The answer will be the same as a positive square root, just add a negative.
help ! work needs to be shown on both (both, all three, however you’d like to refer it as)
Answer:
13= 89%
Step-by-step explanation:
89/100= .89= 89%
Answer:
13. 89%
14. 1/10 to each friend
Step-by-step explanation:
13. 89/100 = 0.89 -> 89%
100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.
Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.
Find the midpoint of A and B has coordinates (2,9) and B has coordinates (7,4)
Answer:
The midpoint is,
(4.5, 6.5)
Step-by-step explanation:
Here, we want to find the midpoint between the two points
mathematically, we use the midpoint formula here
We have this as;
m = (x2+ x1)/2, (y2+ty1)/2
where (x1,y1) = (2,9)
(x2,y2) = (7,4)
substituting these points, we have
m = (2+ 7)/2, (9 + 4)/2 = 9/2,13/2 = (4.5, 6.5)
What is another name for the height of a pyramid?
A. Length
B. Width
C. Altitude
O D. Lateral face
SUBMIT
Answer:
Altitude
Step-by-step explanation:
Find another name for the height of a prism or a pyramid.
Since we know that the height of a prism or pyramid is the perpendicular distance between the two ends of a prism or pyramid.
We can find the height of the pyramid by dropping an altitude from the top of the pyramid to the base of the pyramid.
Note to moderators:
Please don't delete this answer because I'm just trying to help others.
The height of the pyramid is also called the altitude of the pyramid. Since both of these terms represent the same thing, we can use the two terms interchangeably. The correct option is C.
What is pyramid?A pyramid geometry is defined as a three dimensional object with a polygon as its base and the triangles forms the lateral faces which meet at a point above the base called the apex. The pyramids have different parts and some of these parts have more than one name.
The height of the pyramid indicate the perpendicular distance from the base of the pyramid to the apex of the pyramid. This line segment which is perpendicular to the base and runs from the base to the apex is defined as the altitude of the pyramid.
Based on the shape of the base, the pyramids are of many types like triangular pyramid, square pyramid, etc.
Thus the correct option is C.
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which operation should be completed first to find the value of the expreesion below 12 + 30 / (6 -3) + 1
Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3
Answer:
9
Step-by-step explanation:
let the number be X
x multiplied by 3 will be equal to 15 + X + 3
3x = 18+X
2x = 18
x = 9
Answer:
9
Step-by-step explanation: