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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Solve the following compound inequality
-3 < x +7 <10
Answer:
x > -10
x < 3
Step-by-step explanation:
separate into two inequalities
x+7> -3
x+7<10
x + 7 -7> -3 + -7
x > - 10
x + 7 -7 < 10 + -7
x < 3
Write an equation in standard form of the line that passes through (4,−1) and has the slope m=3.
Answer :
m = 3
Point = (4,-1)
x1 = 4
y1 = -1
Formula =
y - y1 = m (x-x1)
y - (-1) = 3 (x -4)
y + 1 = 3x -12
y - 3x + 1 + 12 = 0
y - 3x + 13 = 0
The line = y - 3x + 13 = 0 or -3x + y + 13 = 0
I'm sorry if I'm wrong.
Cmiiw
Good luck
Love from Indonesia
y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=3
We need to find slope intercept form, for this we should know the y intercept with slope m =3 and point (4,-1)
-1=3(4)+b
-1=12+b
-1-12=b
b=-13
y intercept is -13
Hence, y=3x-13 is the equation in standard form of the line that passes through (4,−1) and has the slope m=3.
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2. Find the value of p, if the mean of the following distribution is 20.
X
15
17
19
20+p
23
f 2,3, 4, 5, 6
Answer:
p = 6
Step-by-step explanation:
I'm omitting the x since you cannot have 2 unknowns.
(15 + 17 + 19 + 20 + p +23) /5 = 20 Combine the left
(94 + p) / 5 = 20 Multiply both sides by 5
94 + p = 20 * 5
94 + p = 100 Subtract 94
P = 100 - 94
P = 6
There are ten bird baths in a park. On the first day of spring, the bird baths are filled. Several
weeks later, the overall change in the water level is found. The results are shown in the table. What
is the range of the data?
Changes in Amount of Water (gallons)
-0.3 - 1.2 - 1.3 2.6 2.5 -0.7 0.8 -0.8 2.7 2.9
The range in the change of the amount of water is
gallons
Answer: 3.2
Step-by-step explanation: you need to take the maximum minus the minimum
2.9 - (-.3) = 3.2
you lent your cousin $25.75 and she sent you $30.00 who owes who money and how much money
Answer:
you owe her 4.28
Step-by-step explanation:
30.00-25.75= 4.28
What is the rate of change of the table shown?
A)5
B)2
C)-5
D)-2
Where it says “Exercises.”
Is number 1 = 90 ?
Yes you are correct. The diagonals of any kite are perpendicular.
This can be proven by showing that triangle KGH is congruent to triangle KJH through the SSS congruence theorem. From there you break up the triangles focusing on triangle JRK and triangle GRK, now using the SAS rule to conclude that angle JRK = angle GRK. Since those are a linear pair, those angles must be right angles.
Side note: A kite is defined to be any quadrilateral in which it has two pairs of adjacent congruent sides. Not all four sides are the same length though (otherwise we would have a rhombus).
.3y + 3 (1 - y - y = 6
Answer:
sorry it's too long
Step-by-step explanation:
Simplifying
3y + 3(1 + -1y) + -1y = 6
3y + (1 * 3 + -1y * 3) + -1y = 6
3y + (3 + -3y) + -1y = 6
Reorder the terms:
3 + 3y + -3y + -1y = 6
Combine like terms: 3y + -3y = 0
3 + 0 + -1y = 6
3 + -1y = 6
Solving
3 + -1y = 6
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -1y = 6 + -3
Combine like terms: 3 + -3 = 0
0 + -1y = 6 + -3
-1y = 6 + -3
Combine like terms: 6 + -3 = 3
-1y = 3
Divide each side by '-1'.
y = -3
Simplifying
y = -3
What is the equation of the line that passes through the point (-5, 2) and has a
slope of 4/5 ?
Answer:
y - 2 = 4/5(x + 5)
Step-by-step explanation:
Well, the equation format your question is asking for is Point-slope form which is represented by:
[tex]y - y^{1} = m (x - x^{1})[/tex]
[tex]y^{1}[/tex] = y in point
[tex]x^{1}[/tex] = x in point
m = slope
Now, we have to input our values into our equation.
y - 2 = 4/5(x + 5)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Which of these is the answer please.
EMERGENCY! PLEASE ANSWER ASAP!
Answer:
Its the second one
Step-by-step explanation:
What is another way to write the equation o 7/8x+3/4=-6
Answer:
7+3/8+4 x =-6
C. 7/8 + 3/4x = -6
D. 7/8x - 3/4 = 6
Step-by-step explanation:
what is the slope of the equation y=5/4x-7/4
Answer: x-intercept = 7/5 = 1.40000
y-intercept = -7/4 = -1.75000
Step-by-step explanation: Solve 4y-5x+7 = 0
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4y-5x+7 = 0 and calculate its properties
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -1.750 and for x=2.000, the value of y is 0.750. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.750 - (-1.750) = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.500/2.000 = 1.250
what is the 9th term in the sequence -1, 4, -9, 16, -25,...?
Answer:
-81
Step-by-step explanation:
looks like they're doing perfect squares inversed..
so it'd go from -1,4,-9,16,-25,36,-49,64,-81
Can I get some help please?
Answer:
at least 28
Step-by-step explanation:
Answer:
The answer is C. at least 28
Step-by-step explanation:
Connor- 58 comic books
Drew-31 comic books
So, 58-31=27
if Drew add 27 comic books than it would be equal to Connor. So in order to have a larger collection than Connor he should at least add 28 comic books.
Hope it helps :)
given the y-intercept of (0,19) and the slope of 2/3 write a linear equation
Answer:
y = (2/3)x + 19
Answer:
y=2/3x + 19
Step-by-step explanation:
2/3 is gradient and at x=0 y=19 giving that constant value
Can someone help ???
Answer:
B) 5/4
Step-by-step explanation:
when u multiply
100 x 5/4 you get 125
Answer:
5/4
Step-by-step explanation:
the answer is 5/4
100*5=500
500/4=125
PLEASE HELP . Nicole has to spend $2,675 on monthly supplies for her hair salon. She charges
$25 from each customer for a haircut. How many haircuts would she need to do to
pay for the cost of her monthly supplies?
Answer:
107
Step-by-step explanation:
2675 ÷ 25 = 107
Answer:
107 haircuts
Step-by-step explanation:
25x [tex]\geq[/tex] 2,675
25x/25 [tex]\geq[/tex] 2,675/25
x [tex]\geq[/tex] 107
Tap A fills 10/11 of a bottle in a minute. Tap B fills 3 4/5 times as many bottles as Tap A in a minute. Find the number of bottles Tap B fills in a minute.
Answer:
3 5/11
Step-by-step explanation:
Tap A's rate is (10/11) bottle/min.
Tap B's rate is 3 4/5 = 19/5 times that of tap A. Then tap B's rate is ...
(19/5)(10/11) bottles/min = 38/11 bottles/minute
Tap B fills 3 5/11 bottles in a minute.
The table provides information on road accidents reported to the police for the days in December.
Accidents reported Frequency
0 - 5 18
6 - 10 4
11 - 15 6
16 - 20 3
Estimate the mean.
Give your answer rounded to 1 DP.
Answer:
31/20 = 1.55
1.6
The mean of on road accidents reported to the police for the days in December is 6.7
What is the meaning of mean ?In a group of numbers, the mean is the average or most common value. It is a measure of central tendency of a probability distribution along the median and mode in statistics.
It is given in the question about the information on road accidents reported to the police for the days in December.
Mid point of (0-5) = 2.5
Mid point of (6-10) =8
Mid point of (11-15)=13
Mid point of (16-20) = 18
Mean = (∑Midpoint * frequency )/ (∑ frequency)
[tex]\rm Mean = \dfrac{2.5\times18+8 \times4+13\times6+18\times3}{18+4+6+3}\\\\\\\rm Mean = \dfrac{209}{31}\\[/tex]
Mean = 6.74
Mean = 6.7
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What is the equation of the line that passes through the point (4, -8) and has a
slope of -1/2?
PLEASE HURRY !!
Answer:
y= -1/2x-6
Step-by-step explanation:
Kiwis are on sale at the grocery store at a price of 10 kiwis
for $4. How much are 15 kiwis at this price?
what do temperature and elevation have in common
Answer: As you increase in elevation, there is less air above you thus the pressure decreases. As the pressure decreases, air molecules spread out further (i.e. air expands) and the temperature decreases. If the humidity is at 100 percent (because it's snowing), the temperature decreases more slowly with height.
Step-by-step explanation:
Trust me
consider the following figure
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
<c & <f would be alternate interior angles because they're a pair of angles on the inner side of each of those two parallel lines but on opposite sides of the transversal.
Write each number in scientific notation.
160,000,000
29,830
0.000350
Please answer asap!!
Thank you
Answer:
one hundred sixty million, twenty-nine thousand eight hundred thirty, thirty-five hundred thousandths
Step-by-step explanation:
Each of the numbers written in word form instead of standard form. Hope it helps!
5.
2
C. Use real numbers to represent the following real-life situations.
1. A temperature of 8 degrees below zero
2. A gain of 6 kg in weight
3. A sea level
4. 50 off the original price
5. An additional of 3 points
6. A dropped of 8 in a heart rate
7. A plane ascends 1 000 ft.
8. Micah got a deduction of 2 points for her offense.
9. Daniel went down 4 floors of a building.
10. A slice of a cake that is divided into 8 equal slices.
Step-by-step explanation:
Words like "below", "loss", "off", "dropped", "deduction" mean negative.
Words like "above", "gain", "on", "ascend", "gain" mean positive.
1. -8°C
2. +6 kg
3. 0 m
4. -50
5. +3
6. -8
7. +1000 ft
8. -2
9. -4
10. 1/8
rewrite 1/6 book 2/3 hour as a unit rate
Answer:
1/4 books per hour
Step-by-step explanation: Pls mark brainliest!
Answer:
it is 1\4 bro you working apix quiz don't be cheating
Step-by-step explanation:
I really need the answer ASP
Answer: No the deveiation of chicagos tempratures is actually higher than londons standard tempratures so its false
Step-by-step explanation:
whats the answer to number 3? please and thank you! and please provide steps
Answer:
33°
Step-by-step explanation:
In triangle ABC,
<ABC +<BAC+<ACB =180°[Sum of three angles of a triangle]
2x+15+2x+x=180
5x=180 - 15
x=165/5
x=33°
Hope this helps!!