Answer:
- 5198/11
Step-by-step explanation:
How to identify in congruence of triangles that the triangle is congruent by RHS criteria (property)
Answer:
In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Thank you!!!!
9514 1404 393
Explanation:
The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.
This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.
__
The four theorems generally available for showing congruence of triangles are abbreviated ...
SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important
These list the sides/angles that must be identified as corresponding congruent parts.
Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.
If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.
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Additional comment
In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.
The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.
Find −11+(−13) . pleasssseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
-24
Step-by-step explanation:
Answer:-24
Step-by-step explanation:if its the same sign u just add and keep the sign.
What is 500 miles decreased by 20%?
Answer:
400
Step-by-step explanation:
Percentage decrease = 20% × 500
New value = 500 - Percentage decrease
500 - (20% × 500) =
500 - 20% × 500 =
(1 - 20%) × 500 =
(100% - 20%) × 500 =
80% × 500 =
80 ÷ 100 × 500 =
80 × 500 ÷ 100 =
40,000 ÷ 100 =
400
What is the GCF of 14 and 16?
let x=-(2/5 ) and y= -(1/10)Which expression has a negetive value?A. x+y B. x-y
Answer: Terminology for signs. When 0 is said to be neither positive nor negative, the following phrases may be used to refer to the sign of a number: A number is positive if it is greater than zero. A number is negative if it is less than zero.
Step-by-step explanation:
Hope this helps!
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
[3 - | -5/6 - 2(-3)|) ÷ (-17) What is the value of the expression? Enter your answer as a simplified fraction in the box.
HELP ME PLEASE!!
Answer:
-1/6
Step-by-step explanation:
i took the quiz
Help me pls i would really appreciate it
Job 1 at the Minute Mart
Heather works 3 days at the Minute Mart. Each day consists of 8 hour shifts and the pay rate is £6.29. Work out how much Heather earns a week from the Minute Mart?
Answer:
£150.96
Step-by-step explanation:
Multiply 6.29 by 8. This is how much she makes a day.
(£50.32)
Multiply £50.32 by 3 because she works for 3 days.
(£150.96)
Algebra 2 11th grade
4. If x = y + 3, then in the second equation you can write
-3 (y + 3) + 3y = 6
Expanding and simplifying gives
-3y - 9 + 3y = 6
-9 = 6
but this is clearly not true, so this system as no solution.
5. Solve the first equation for x :
x + 2y = 4 ===> x = -2y + 4
Substitute into the other equation:
2 (-2y + 4) - 3y = 1
-4y + 8 - 3y = 1
-7y = -7
y = 1
Solve for x :
x = -2•1 + 4
x = -2 + 4
x = 2
6. Solve the first equation for y :
2x - y = 6 ===> y = 2x - 6
Substitute into the other equation:
x + 2 (2x - 6) = -2
x + 4x - 12 = -2
5x = 10
x = 2
Solve for y :
y = 2•2 - 6
y = 4 - 6
y = -2
7. Solve either equation for x :
x + 4y = 10 ===> x = -4y + 10
Substitute into the other equation:
(-4y + 10) - 2y = -8
-6y = -18
y = 3
Solve for x :
x = -4•3 + 10
x = -12 + 10
x = -2
8. Solve the first equation for y :
-2x + y = 1 ===> y = 2x + 1
Substitute into the other equation:
4x - 2 (2x + 1) = 5
4x - 4x - 2 = 5
-2 = 5
This is false, so there is no solution.
9. Solve the second equation for x :
-x - 4y = -3 ===> x = -4y + 3
Substitute into the other equation:
2 (-4y + 3) + 8y = 6
-8y + 6 + 8y = 6
0 = 0
This means any value of x and y will satisfy these two equations, so there are infinitely many solutions.
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What do you need help with?
?/15•3/5=1/25 what does ? equal.
Answer:
? = 1
Step-by-step explanation:
When using empirical data (data and information collected by scientists in an experiment), sometimes, that data will not form a perfect line on a graph. When this happens, the line that is created using a linear regression is known as the “Line of Best Fit.” The following speed data was collected from a car moving with a constant acceleration.
Time (s) Velocity (m/s)
2 13.1
4 19.8
6 28.1
8 34.6
What is the Line of Best Fit for this data? Perform a linear Regression on this table to find the equation.
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
If the car continued at the same acceleration (meaning the slope of the line does not change), how fast would it be going in 15 seconds?
Answer:
98.25
Step-by-step explanation:
May I please receive help?
PLEASE PLEASE PLEASEEE HELP ILL GIVE U 50 POINTS AND BRAINLIEST :D
Answer:
See belowStep-by-step explanation:
#22Find the difference:
6.48×10⁷ - 2.15×10⁷ = (6.48 - 2.15)×10⁷ = 4.33×10⁷ people#23Find the ratio:
2.15×10⁷ / 2.95×10⁶ = 21.5/2.95 = 7.28 people / mi²#24Find the ratio:
1.3×10⁹ / 6.48×10⁷ = 130/6.48 = 20 timesHow many times larger than 2 x 102 is 2 x 108?
Answer:
1 x 106
Step-by-step explanation:
200,000,000 divided by 200 is equal to 1,000,000
On a certain hot summer's day, 557 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totalled $1146.75. How many children and how many adults swam at the public pool that day?
Answer:
Adults:193
children:295
is 5x - 4y = 3 linear?
Answer:
Yes
Step-by-step explanation:
The highest exponent is 1.
Answer:
Yes 5x -4y= 3 is a linear
Step-by-step explanation:
It is a linear because it makes a straight line when it's on a graphed.
Hope this was helpful :)
Multiply (x + 2y)(x2 − xy + 3y).
Answer:
[tex] {x}^{3} + {x}^{2} y + 3xy - 2x {y}^{2} + 6 {y}^{2} [/tex]
What is the GCF of x^3y^5z^2 and x^4yz^5?
If your are confused the question is also in the picture down below
find the missing number so that the equation has no solutions. 5x+1-3x=_x+13
Answer:
You may just add 2 in the spot. Moreover, you get no solution.
Step-by-step explanation:
Hope this helped!
The 4th term in an arithmetic sequence is 18 and 9th term is 43. Find the first 5 terms of the sequence
Answer:
3, 8, 13, 18, 23
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 and a₉ = 43 , then
a₁ + 3d = 18 → (1)
a₁ + 8d = 43 → (2)
Subtract (1) from (2) term by term, eliminating a₁
5d = 25 ( divide both sides by 5 )
d = 5
Substitute d = 5 into (1) for value of a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3 , then
a₂ = a₁ + 5 = 3 + 5 = 8
a₃ = a₂ + 5 = 8 + 5 = 13
a₄ = a₃ + 5 = 13 + 5 = 18
a₅ = a₄ + 5 = 18 + 5 = 23
The first 5 terms are 3, 8, 13, 18, 23
The table shows the number of miles 3 runners ran last week. Order the numbers from least to greatest. Which runner ran the farthest? How do you know
If you edit the question or repost I can answer if you provide an image! :D
Answer:
Step-by-step explanation:
The order of the decimals are 15.03, 15.2, then 15.25. Casey ran the farthest. (Casey is 15.25) I hope this helps you even though this was 2 weeks ago. :>
The points A, B and C in 3D space are such that:
• AB = 10mm, AC = 17mm and BC = 28mm.
• The angle of elevation from A to B is 20°.
• The angle of elevation from A to C is 55°.
Find the angle of elevation from B to C, to the nearest degree.
Answer:
Angle of elevation= 180- (20- 55)
180- 75
105°
Solve using order of operations: 72/8+6/3-4(10)
Answer:
the answer is -29
Step-by-step explanation:
PLEASE PLEASE PLEASEEEEEEE HELP RNNN xddddddd
Lets find the slope of the graph for Jennifer's record. THe slope represents her rate.
Slope = (y2 - y1) / (x2 - x1)
Lets use the first two points.
Slope = (8 - 5) / 64 - 40)
= 3 / 24
= 1 / 8
Use the second and third points.
Slope = (10 - 8) / (80 - 64)
= 2 / 16
= 1 / 8
Last points.
Slope = (12 - 10) / (96 - 80)
= 2 / 16
= 1 / 8
The slopes are constant.
Now we compare the slopes. Use the LCD to compare fractions.
1 / 9 = 8 / 72
1 / 8 = 9 / 72
9 / 72 > 8 / 72
Jennifer has the faster training rate. She can cover more distance in less time than Patrick can.
If a line has a slope of 4 and a y-intercept of 3, what is the equation of that line in slope-intercept from???
Answer:
y=3x-4
Step-by-step explanation:
Write the decimal as a fraction in simplist form -0.096
Answer:
Step-by-step explanation:
-0.096 is -0.096 thousandths, or -96/1000
That can be reduced by removing 8:
-[(8)*(12)]/[(8)*(125)] = -12/135
-12/125 = -0.096
Please help me this question…
the area of the rectangle is 0.1 square meter
A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.
Answer:
5 : 1 or 10 : 2
Step-by-step explanation: