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.
_____
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.
-x-2y=8 slope intercept form please
Answer:
Add x to both sides so the problem will become -2y =8+x, then you divide both sides by -2 to get y by itself. You will now have y=-4+-x. you'll need to double check this but it should be right. remember that slope intercept form is y=mx + b
A poll was taken to determine which candidate students were voting for in an upcoming class president election. Of the students who participated in the poll, 40% voted for Iverson and 50% voted for Vicky. There were 30 votes for Vicky.
There were
(blank) people who participated in the poll.
Answer:
Step-by-step explanation:
the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.
50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.
Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.
this is the formula that can help with any percentage math problem:
The percentage of something ÷ 100% = the number you are looking for ÷ the total
in our case:
40÷100 = x (because it is the unknown term)÷60
from here you cross multiple getting
2400÷100x
which equals
24
now we have to add Vicky's and Iverson's voter
24 + 30= 54
60-54=6
6 students did not participate
5x+6=61 Show Step By Step
Answer:
x=11
Step-by-step explanation:
5x+6=61
61-6=5x
55=5x
x=11
Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest
simplify
[tex] \sqrt{18} + \sqrt{50} - 2 \sqrt{8} [/tex]
answer pls
Step-by-step explanation:
[tex]\sqrt{18} = 3\sqrt{2}[/tex]
[tex]\sqrt{50}=5\sqrt{2}[/tex]
[tex]2\sqrt{8} = 4\sqrt{2}[/tex]
So [tex]3\sqrt{2} +5\sqrt{2} -4\sqrt{2}[/tex]
= [tex]4\sqrt{2}[/tex]
Please give me a brainliest answer
40 POINTS!
Please answer for
m∠1 AND m∠2
Answer choices for m∠1:
50, 110, 70, 90
Answer choices for m∠2:
70, 110, 40, 140
Answer:
70°, 140°, 50°
Step-by-step explanation:
110° and the angle inside the triangle are adjacent angles and sum to 180°, so
angle inside triangle = 180° - 110° = 70°
The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent
∠ 1 = angle inside triangle = 70°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ 2 is an exterior angle of the triangle on the left, so
∠ 2 = 70° + 70° = 140°
∠ 2 is also an exterior angle of the triangle on the right, so
∠ 3 + 90° = 140° ( subtract 90° from both sides )
∠ 3 = 50°
((((40 - -30) x (20 +15 - -2))+14)/2)-40
100 points pls help
Step-by-step explanation:
1262 enjoy brainliest appreciated
2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?
Answer:
B
Step-by-step explanation:
the opposite of -10 is 10
10 being bigger than 0 would therefore be to the right of 0
Answer:
B
Step-by-step explanation:
The opposite is positive 10. Negative 10 is the left to 0 and positive is always to the right of 0. Hope that helps <3
m_ABC=M_ABD
what is the reason?
Answer:
M=m and cis equivalent to d
Given: 3jk 2 + =15 4k− Prove: j = 10 – 3k
Answer:
j=10-3k
Step-by-step explanation:
here you go...i hope it's correct
If the equation is (3j+k)/2=15-4k then j=10-3k
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (3j+k)/2=15-4k
We need to prove j=10-3k
(3j+k)/2=15-4k
Apply cross multiplication and solve for k
3j+k=2(15-4k)
3j+k=30-8k
Subtract k from both sides
3j=30-9k
Divide both sides by 3
j=10-3k
Hence, if the equation is (3j+k)/2=15-4k then j=10-3k
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ5
pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's between 0 and 1
Step-by-step explanation:
1/64 = 0.015625
HELP PLEASE!!
Write an equation in slope-intercept form for a
line that has a slope of one-half and passes
through the point (4,3). Use the graph below, if
necessary.
Answer:
y = 1/2x + 1.
Step-by-step explanation:
Use the point-slope form of a straight line:
y - y1 = m(x - x1) (where m=slope and(x1,y1) is a point on line).
y - 3 = 1/2(x - 4)
y = 1/2x - 2 + 3
y = 1/2x + 1.
For brainily please help
Answer:
Yes
Step-by-step explanation:
Please help I will make you Brainliest (show working)
Answer:
id kkkkkkkkk
Step-by-step explanation:
Which number has the greater value, 7*10^-9 or 6*10^-4
Answer:
6*10^-4 has a greater value.
Step-by-step explanation:
7*10^-9= 0.000000007
6*10^-4= 0.0006
Please help me, write the step by step explanation plz?
Answer:
i think the answer is 171,500 i don't know i am trying.
Step-by-step explanation:
first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.
Cost of n items at 3.99 per item
Answer:
if thats the entire question n*3.99
Step-by-step explanation:
simplify
please anyone solve this please
Answer:
= a²-b²/a²b+ab²-a²b-ab²/a²b² =√√727+=% = infinite
Step-by-step explanation:
I'm not sure if this correct but hope it helps
Answer:
1
Step-by-step explanation:
This is the solution to your question . Hope it helps you !!
4 b a 1. Joseph plans to give a bag of candy to each of the 22 students in his class. Each bag of candy will cost $2.87 after tax. Which expression gives the best estimate for the total cost of the bags of candy? A. $2 x 20 B. $2 x 30 C. $3 x 20 D. $3 x 30
Answer:
A
Step-by-step explanation:
Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same number?
Makayla
A number line going from negative 10 to 0. A point is at negative 7.
Aaron
A number line going from negative 18 to positive 6. A point is at negative 5.
Serena
A number line going from negative 20 to positive 12. A point is at negative 5.
Dontae
A number line going from negative 8 to 0. A point is at negative 6.
Serena and Dontae
Makayla and Aaron
Serena and Aaron
Makayla and Dontae
Mark this and return
Answer:
Serena and Aaron.
Step-by-step explanation:
Answer:
Serena and Aaron.
Step-by-step explanation:
In 20112, it rained 1.651 x 103 centimeters in New Orleans. In 2012 it rained another 8.2 x 102 centimeters. How many centimeters of rain did New Orleans experience in 2012?
Answer:
1,006.453 cm
Step-by-step explanation:
1.651 × 103 = 170.053
8.2 × 102 = 836.400
170.053 + 836.4 = 1006.453 cm
4 times 14 5/6 to the nearest whole number
Answer:
356
Step-by-step explanation:
4 x (14 5/6) =
4 x (14 x 6) + 5
4 x 89 = 356
Find the value of the expression.3 + 6 × 2 = _____
Answer:
15.
Step-by-step explanation:
Hope this helps!
Answer:
15
Step-by-step explanation:
3 + 6 × 2 =
- Following the rules of bedmas, multiply the terms first.
3 + 12
- Now, add the remaining values.
= 15
A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP
In a batch of 8000 clock radios 5% are defective. A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected
Answer:
Step-by-step explanation:
P(A)=1−P(not A)
We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.
0.02=1−P(not A)
P(not A)=0.98
Therefore, for all the clocks to pass, the probability is P(not A)11.
Now again, we can use complementary counting.
(probability of all clocks failing) = 1 - (probability of all clocks passing)
Probability of all clocks failing = 1−P(not A)11
esrimate the value of the following to the nearest whole number
1)
[tex] \sqrt{97} [/tex]
2)
[tex] \sqrt{780} [/tex]
3)
[tex] \sqrt{5436} [/tex]
4)
[tex] \sqrt{4000} [/tex]
Answer:
10
28
73
63
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the sides of the figures
(1)
The figure has 5 congruent sides , then perimeter P
P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5
= 2x + 5
(2)
There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then
P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4
= 10x - 4y + 8y ← collect like terms
= 10x + 4y
(3)
P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis
= 2a - b + 3b + 2a ← collect like terms
= 4a + 2b
Use the GCF and the Distributive Property to find the sum.
42+66
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
42+66=??
Answer:
40 plus (2)42 plus 6x11
Step-by-step explanation:
Multiply
help pls?? answer for me??f
ANSWER
C PO SANA MAKATULONG PO YAN
Write an equation of the line with a slope of -\frac{2}{7} and a y-intercept of 5.
Answer:
y=3/4x-7
Step-by-step explanation:
I used the y intercept (0,-7) as a point to plug into point slope form.
y+7=3/4(x-0)