Answer:
You know what method to use by looking at the markings on the triangle, shape.
Step-by-step explanation:
SSS means that the three sides of the triangle are congruent to the sides of the other triangle
SAS means that two sides and one angle of a triangle are congruent to the two sides and one angle of another triangle. Note: The angle should be in between the two sides
ASA means that two angles and one side of a triangle are congruent to the two angles and one side of another triangle. Note: The side should be in between the two angles
AAS means that two angles and one side of a triangle are congruent to the two angles and one side of another triangle. Note: this is not like ASA while ASA means that the side is in between the two sides, AAS means that the side is not in between the two angles and instead next to it.
Hope this helps
The different triangle congruency postulates are; SSS, SAS, AAS, ASA.
What are the Triangle Congruency theorems?
1) SSS is an acronym for Side - Side -Side Congruency theorem and it tells us that the three corresponding sides of two triangles are congruent to each other.
2) SAS is an acronym for Side - Angle -Side congruency postulate and it tells us that two corresponding sides and one corresponding included angle of two triangles are congruent to each other.
3) ASA is an acronym for Angle - Side - Angle Congruency Postulate and it tells us that two corresponding angles and one corresponding included side of two triangles are congruent to each other.
4) AAS is an acronym for Angle - Angle - Side Congruency postulate and it tells us that means that two corresponding angles and one corresponding non-included side of two triangles are congruent to each other.
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Simplify (4p^3)(-4p^4)
Answer:
-16p⁷
Step-by-step explanation:
(4p³) (-4p⁴)
4 times -4 is -16. p³ times p⁴ is p⁷.
-16p⁷
Answer:
4p^3=12p
-4p^4=-16p
12p-16p=-4p
hope this helps
To start a taco food truck service, a woman borrowed $7,500. If the loan was for 5 years and the amount of interest was $3187.50, what simple interest rate was she charged?
Answer:
The interest rate was 42.5%.
Step-by-step explanation:
Solve (x + 1)2 - 4(x + 1) + 2 = 0 using substitution.
U
4(x +1)
x +1
(x + 1)2
Answer:
u=x+1
u2-4u+2=0
-2u+2=0
u=1=x+1
x=0
Step-by-step explanation:
Bill needs to edge his yard with the dimensions in the shape below. What distance will he have walked after completing his edging? Round your answer to one decimal place. Do not include units in your answer.
Answer:
37.8
Step-by-step explanation:
The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m
Using Pythagorean theorem:
d² = h² + b²
d² = 5² + 3²
d = √34
d = 5.8 m
Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters
In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6
Answer:
1/4
Step-by-step explanation:
There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections
The section with a 6 in it is a double size section so it counts as 2 sections
P(6) =number of sections with a 6/ total sections
=2/8
=1/4
Answer:
1/4
Step-by-step explanation:
A
Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it in fraction
form)
Answer: Yes
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a circle = π r^2
Reamed hole area = π 0.278^2= 0.242794846
Pin Area: π ([9/32]/2)^2= 0.062126221
Diameter = 2 radius
Radius = diameter/2
Since
Hole Area > pin area
The pin will fit into the reamed hole.
Feel free to ask for more if needed or if you did not understand something.
Which of the following is not a postulate of Euclidean geometry?
A. Through a given point not on a given line, there is exactly one line
parallel to the given line.
B. A straight line segment can be drawn between any two points.
C. All equilateral triangles have interior angles equal to 60 degrees.
D. A circle can be drawn with any center and radius.
It’s C, All equilateral triangles have interior angles equal to 60 degrees
The incorrect postulate is C, All equilateral triangles have interior angles equal to 60 degrees.
What is Euclidean geometry?It is an axiom system about points and Lines.
Five postulates of euclidean geometry are followed as;
1. To draw a straight line from any point to any other point. It means we can draw a straight line between any two pints.
2.To extend the continuous line in a straight line.
3. A circle can be drawn with any radius and center.
4. All right angles are equal to one another.
5. Parallel line postulate: If a straight line is falling on two straight lines make the interior angles on the same side less than the sum of two right angles, and the two straight lines.
The incorrect postulate is C, All equilateral triangles have interior angles equal to 60 degrees.
Learn more about euclidean geometry ;
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Please write a Complete answer.
Answer:1. 8.6 2. 9.4 3.8.5
Step-by-step explanation:
Answer: The first puppy would weigh: 8.6 ounces
The second puppy would weigh: 9.4 ounces
The third puppy would weigh: 8.5 ounces
Step-by-step explanation: The puppies weights were 6.5, 7.3, and 6.4 respectively. The question says each puppy gained 2.1 ounces
So just add 2.1 to each of the puppies weights:
6.5+2.1=8.6
7.3+2.1=9.4
6.4+2.1+8.5
Hope this helps :)
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Question 3 options:
A)
f(t) = 67(.70)t
B)
f(t) = 70(67,000)t
C)
f(t) = t(.70)67,000
D)
f(t) = 67,000(.70)t
Answer:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Step-by-step explanation:
This is an exponential function:
f(t) = $67000(.30)^t (Must use " ^ " to indicate exponentiation)
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=2x,BC=x−2,AC=28
Answer:
x = 10
Step-by-step explanation:
Data
AB=2xBC=x−2AC=28Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:
AB + BC = AC
Replacing with data:
2x + (x - 2) = 28
3x - 2 = 28
3x = 28 + 2
x = 30/3
x = 10
What is the ratio of x to y? (Write it in simplest form)
Answer:
There is no explanation so I guess 1 to 1?
Step-by-step explanation:
Multiply and simplify: (−10x+12)(9x−4)
Answer:
-90x^2+148x+48 (x^2 means x squared)
Step-by-step explanation:
-90x^2+40x+108x-48=-90x^2+148x-48
Answer:
(−10x+12)(9x−4) =
Use the FOIL
First = (-10x * 9x)
Outside = (-10x * -4)
Inside = (12 * 9x)
Last = (12 * -4)
The answer is 90x^2 + 148x − 48
what is the difference between -17 and -7
Answer:
-10 or 10
Step-by-step explanation: I think its 10 but if its not it will probally be -10 i'm sorry if both of these are wrong. take care :) .
Answer:
-10 or 10
Step-by-step explanation:
-17
-07
-10
How to Find the domain and range for graphs
Answer:
domain: possible x values
range: possible y values
Step-by-step explanation:
which is the discriminant of the quadratic equation 6x^2 + x -8=0?
Answer:
0?
Step-by-step explanation:
help with this question please
Answer:
ImRunningNotThrowing is the goat
Step-by-step explanation:
Pat ez took the test.
The sum of three consecutive even integers is -264. List the numbers from smallest to largest:
Answer:
-87, -88, -89
Step-by-step explanation:
first divide -264 by 3 this will give you the middle number. To find the first number subtract 1 from the middle number and to find the third number add 1 to the middle number.
What is the slope of the line passing through the points (1, 2) and (5, 4)?
−2
1/2
2
1
Answer:
The answer would be 1/2
5(6x + 9) + (2x + 8)
_________________________________
Hey!!
Solution,
5(6x+9)+2x+8
= 30x+45+2x+8
= 30x+2x+45+8
=32x+53
Hope it helps
Good luck on your assignment
______________________________
Answer:
32x + 53
Step-by-step explanation:
To simplify this expression, perform the indicated multipliplication, using the Distributive Property, and then combine like terms:
30x + 45 + 2x + 8
becomes:
32x + 53
solve for slope. (-2,7) (-1,6)
Answer:
m = - 1/3
Thats the answer.
Step-by-step explanation:
Find the value of x.
Answer:
x=1
Step-by-step explanation:
7 times 1 is 7 minus 1 is 6
2 times 1 is 2 minus 1 is 1
6 plus 1 is 7
you have to substitute the one
A rental car agency charges $ 220.00 per week plus $ 0.15 per mile to rent a car. How many miles can you travel in one week for $ 355.00?
Answer:
[tex]x=900[/tex]
Step-by-step explanation:
Read the problem carefully and figure out where it says plus and where it says per. Per implies multiplication. Plus is addition.
220+0.15x
To solve, plug in 355 for the answer and back solve for x.
[tex]355=220+0.15x\\\mathrm{Switch\:sides}\\220+0.15x=355\\\mathrm{Multiply\:both\:sides\:by\:}100\\220\cdot \:100+0.15x\cdot \:100=355\cdot \:100\\22000+15x=35500\\\mathrm{Subtract\:}22000\mathrm{\:from\:both\:sides}\\22000+15x-22000=35500-22000\\15x=13500\\\mathrm{Divide\:both\:sides\:by\:}15\\\frac{15x}{15}=\frac{13500}{15}\\x=900\\[/tex]
Answer:
900
Step-by-step explanation:
math
Select the correct answer.
This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the
pyramid to the volume of the prism?
Answer:
b
Step-by-step explanation:
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why?
Answer:
m= 20 because the rate of change is -3.
Answer:
The answer is D
a= 20 because the rate of change is -3
Step-by-step explanation:
edg 2022
To create an image, Figure C is going to be translated 2 units to the left, reflected across the y-axis, and rotated 270° clockwise about the origin. What must be true about Figure C and its image?
Answer:
BRO THE IMAGE FORMED IS CONGRUENT
Step-by-step explanation:
Answer:
They are congruent
Step-by-step explanation:
Figure C will still stay the same shape and size because there was no dilation involved in the process. The image of Figure C will be in quadrant 1 and rotated 270° clockwise. Congruent means it is the same shape and size. So our answer is "They are congruent".
What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction equals StartFraction 1 Over 3 EndFraction plus StartFraction 5 Over 6 EndFraction x. = + x x = –5 x = –negative StartFraction 1 Over 6 EndFraction x = StartFraction 1 Over 6 EndFraction x = 5
Your question is not well presented
Question:
What is the solution to the linear equation?
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Answer:
[tex]x = \frac{-5}{3}[/tex]
Step-by-step explanation:
Given
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Required
Simplify
[tex]x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x[/tex]
Add [tex]\frac{1}{2}[/tex] to both sides
[tex]x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
[tex]x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}[/tex]
Subtract [tex]\frac{5}{6}x[/tex] from both sides
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x[/tex]
[tex]x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}[/tex]
Take LCMs
[tex]\frac{6x - 4x -5x}{6}= \frac{2+3}{6}[/tex]
[tex]\frac{-3x}{6}= \frac{5}{6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{-3x}{6}= \frac{5}{6} * 6[/tex]
[tex]-3x= 5[/tex]
Divide both sides by -3
[tex]\frac{-3x}{-3}= \frac{5}{-3}[/tex]
[tex]x = \frac{5}{-3}[/tex]
[tex]x = \frac{-5}{3}[/tex]
Answer:
x=-5
Step-by-step explanation:
The average weight of 7 potted plants is 23 pounds. An 8th potted plant is added to the pallet,
and the average weight increases to 25 pounds. What was the weight, in pounds, of the 8th
plant?
Answer:
The weight of the 8th plant is 39lb
Step-by-step explanation:
Given:
Average Weight of 7 plants = 23lb
Average Weight of 8 plants = 25lb
Required:
Weight of the 8th plant
To solve this, the total weight of the initial 7 plants need to be calculated;
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
Substitute 23 for Average and 7 for Number of plants
[tex]23 = \frac{Sum-of-weights}{7}[/tex]
Multiply both sides by 7
[tex]7 * 23 = \frac{Sum-of-weights}{7} * 7[/tex]
[tex]161 = Sum-of-weights[/tex]
Hence, the 7 plants weigh 161
Represent the weight of the 8th plant with E
When the 8th plant is added;
The sum of the weight becomes 161 + E
And the number of plants becomes 8
The average is calculated as thus
[tex]Average = \frac{Sum-of-weights}{Number-of-Plants}[/tex]
[tex]25 = \frac{161 + E}{8}[/tex]
Multiply both sides by 8
[tex]8 * 25 = \frac{161 + E}{8} * 8[/tex]
[tex]200 = 161 + E[/tex]
Subtract 161 from both sides
[tex]200 -161 = 161 - 161 + E[/tex]
[tex]39 = E[/tex]
Reorder
[tex]E = 39[/tex]
Hence, the weight of the 8th plant is 39lb
I have no idea how to do this.. help?
Answer:
add
Step-by-step explanation:
Answer:
y=2/3+5
Step-by-step explanation:
Remember y=mx+b and the intercept is 5. Then we do rise over run. Which is 2/3. So it think:y=2/3+5. Please correct me if i am wrong. Hope this helps.
Please help me answer these e questions pleasesssss
Answer:
4) 8^14
7) h^7
10) 29^8 over 10^8
Step-by-step explanation:
If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.
Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7
The bases are the same so just add the exponents, 7 plus one is 8.
(-2.9)^8
Convert it into a fraction: -(29/10)^8
Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8
Hope this helps :)
8¹⁴
Step-by-step explanation:
4.) 8¹⁰×8⁴
=8 to the power (10+4)
=8¹⁴
7.) h⁶xh¹
=h to the power (6+1)
=h^7
10.) (-2.9)^1×(-2.9)^7
=(-2.9)^7+1
=(-2.9)^8
help again please thank you
Answer:
1) False
2) True
3) False
4) True
5) True
6) False
7) True
8) True
Answer:
The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.
Step-by-step explanation: