Answer:
yes; The triangles are congruent by hypotenuse-angle congruence.
Step-by-step explanation:
Answer: yes Question 6
There is not enough information to determine congruency
Question 9
yes; The triangles are congruent by hypotenuse-leg congruence
Step-by-step explanation:
* Lets revise the cases of congruence
- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ
≅ 2 angles and the side whose joining them in the 2nd Δ
- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles
and one side in the 2ndΔ
- HL ⇒ hypotenuse - leg of the first right angle triangle ≅ hypotenuse
- leg of the 2nd right angle Δ
- HA ⇒ hypotenuse - angle of the first right angle triangle ≅ hypotenuse
- angle of the 2nd right angle Δ
- LL ⇒ leg - leg of the first right angle triangle ≅ leg - leg of the
2nd right angle Δ
* Now lets solve the problem
# Question 6
- There are two right angle triangles
- They have two different legs
- There is no mention abut legs equal each other
- There is no mention about hypotenuses equal each other
- There is no mention about acute angels equal each other
∴ There is not enough information to determine congruency
# Question 9
- There are two right angle triangles
- Their hypotenuse is common
- There are two corresponding legs are equal
∵ The hypotenuse is a common in the two right triangles
∵ Two corresponding legs are equal
- By using hypotenuse-leg congruence
∴ yes; The triangles are congruent by hypotenuse-leg congruence
Step-by-step explanation:
Property 5
RHS Criterion for Congruence
Explaining the congruence of triangles using RHS Criterion of Congruence
RHS Criterion stands for Right Angle-Hypotenuse-Side Criterion.
Under this criterion, if the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, the two triangles are congruent.
Important Notes
Two figures are congruent if they have the same shape and size.
Two angles are congruent if their measures are exactly the same.
Two triangles with equal corresponding angles may not be congruent to each other because one triangle might be an enlarged copy of the other. Hence, there is no AAA Criterion for Congruence.
Hope this helps have a nice day❤️
Find the missing side lengths.Leave your answers in simplest radical form.
Answer:
6) 9 7) 8 8) 7 9) 9
Step-by-step explanation:
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m.
Write and simplify an expression for the exact area of the sidewalk.
Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answer:
The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m
The equation would be:
144 x 3.14 - 64 x 3.14 = 251.2
Step-by-step explanation:
First, you need to find out what the whole circle is:
The whole circle is 452.16
Then, find the inner circle :
8 x 8 x 3.14
200.96
Last, subtract the whole by the inner:
452.16 - 200.96 = 251.2
hope this helps!
need help asap will give brainly
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
what is the answer to this?
Answer:
I think r
is
=24
but I am not sure
The perimeter of a square is 52 meters. What is it area.
Answer:
169 meters
Step-by-step explanation:
52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)
13^2=169 (to find the area you square the length of each side)
7.8 -3.3 - (-1.2) + 4.3
Answer:
10
Step-by-step explanation:
Work out the circumference of this circle.
Take it to be 3.142 and give your answer to decimal place.
9 m
Answer:
About 28.3
Step-by-step explanation:
Formula=2[tex]\pi[/tex]r
r=radius
d=diameter
radius is 1/2 of diameter
The diameter is 9 so the radius is 4.5
Please help I need to hurry and get my missing assignments done.
Answer:
the answer is 4.45
Step-by-step explanation:
Answer:
B 4.45
Step-by-step explanation:
13.35 dived by 3 = 4.45
hope this helps
Write the equation of each line in slope‐intercept form.
Answer:
y = -x + 4
Step-by-step explanation:
Since the line is going from left to right downwards, it will have a negative slope.
The rate of change is -1/1 which can simply be written as -x.
The line crosses the y axis at 4, making it the y-intercept.
Rearrange F=W^2 to make W the subject
Answer:
[tex]W=\sqrt{F}[/tex]
Step-by-step explanation:
The given relation is as follows :
[tex]F=W^2[/tex]
We need to rearrange it to make W the subject.
When square gets removed from W, it goes to F and it will form as follows :
[tex]W=\sqrt{F}[/tex]
Hence, this is the required solution.
help help help help!!!!!
Answer:
24.5 is the answer
Step-by-step explanation:
(Select all that apply)
AC=DF
C=F
A=F
CB=FE
Answer:
AC=DF, C=F, CB=FE
Step-by-step explanation:
triABC is congruent to triDEF
The sides and order of the letters match up for those 3 answers
(4m+3)(m+2)
expand each of the following algebraic expression
Answer:
4m² + 11m + 6
Step-by-step explanation:
Use foil to expand this value.
(4m+3)(m+2)
Multiply the first terms in the two brackets.
Then multiply the two outer terms.
Followed by multiplying the inner terms.
Finally multiply the last terms
= (4m+3)(m+2)
4m² + 8m + 3m + 6
4m² + 11m + 6
Evaluate the following expression when h = 3
4 (h + 2)
Answer:
20
Step-by-step explanation:
Substitute the given value (h = 3), into thte expression (4 (h + 2)), then simplify to evaluate the expression.
4 ((3) + 2)
4 (5)
20
Since the sanctuary was established, the estimated population of American robins in the area has increased from 86 to 102. Describe the percent change in the estimated population of American robins. Round to the nearest whole percent
The answer is 84 percent. I hope this helps
Can you please mark me brainiest if I am correct? Thank you and have a nice day!
please help does anyone know the answer to this?
Answer:
M = 95°
N = 67°
Step-by-step explanation:
180 - 162 = 18°
6y + 5 + 4y + 7 + 18 = 180
10y + 30 = 180
10y = 150
y = 15
M: 6(15) + 5 = 95°
N: 4(15) + 7 = 67°
Verification: 95 + 67 + 18 = 180° (correct)
KINDA URGET
What is the volume of this container?
7 in.
5 in.
175 in3
5 in.
1,078 in
1,253 in3
11 in.
7 in.
903 in3
14 in.
Answer:
1253 square inches
Step-by-step explanation:
so first you find the top:
7x5x5=175
then the bottom:
11x14x7=1078
add them and then you get 1253
Answer:
C; 1,253 in
Step-by-step explanation:
7 x 5 x 5=175
11 x 7 x 14=1078
1078 + 175= 1253
In ∆ABC, if sin A = 8/17, what is cos B?
A. 15/17
B. 8/17
C. 9/17
D. 17/8
Answer:
B is the correct answer.
because Cos = Adj / Hyp
so it is Cos B = 8 / 17
Pls help. 15 points for math
Answer:
Step-by-step explanation:
y=mx+b where m is the slope, in this case m=4
Answer: the slope is 4 because of y= mx+b and the m is the slope. Hope it helped :)
Step-by-step explanation:
find the value of x
please help
Answer:
x = 36.25
Step-by-step explanation:
4x + x + 35 = 180
5x + 35 = 180
-35 -35
4x = 145
divide by 4
x = 36.25
Answer
x=29
Step-by-step explanation:
A linear pair is here, meaning that the two angles share an adjacent side, So they both add up to 180
Please help and thanks!~
~~~~~~~~~~~~~~~~~~~~~~~
20 points!~
Answer 1:
Let's solve your inequality step-by-step.
−3x<54
Step 1: Divide both sides by -3.
−3<54
-3 −3
x>−18
Answer:
x>−18
Answer 3:
Let's solve your inequality step-by-step.
x
-
4≥11
Step 1: Simplify both sides of the inequality.
1
-
4 x≥11
Step 2: Multiply both sides by 4.
4*(1/4
x)≥(4)*(11)
x≥44
Answer:
x≥44
Graph them yourself sorry hope this helps tho
Find the sum of 4x^4 – 5x and 14x + 8.
Answer:
I think the first one is 123x but not sure
Step-by-step explanation:
Answer:
4x^4 + 9x + 8
Step by-step explanation:
4x^4 - 5x + 14x + 8
4x^4 + 9x + 8
Solve
{a 1/2 • b 1/3}^-3
Step-by-step explanation:
so this what I found hope you a good luck
Pls help i will give brainly
Answer:
Exact Form:
248832 - 3 1/3 over 59
Decimal Form:
4217.46708051 or 4217.5
Step-by-step explanation:
what is the degree of the polynomal −5x^4y^3z + 3y^4 −7 y^3z^3
Answer:
4 !!!
Step-by-step explanation:
PLS HELP?!??!
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.
Answer:
ladder length = 10 feet
Step-by-step explanation:
using the Pythagorean theorem:
8² + 6² = length²
64 + 36 = length²
length² = 100
length = 10 feet
A chemical compound used to control insects freezes at -168°F. It boils at 115°F. Which expression represents the difference between the two temperatures?
❘-168 - 115❘
-❘115 + 168❘
-❘115 - 168❘
❘115 - 168❘
Answer: ❘-168 - 115❘
you’re finding difference so we set up a subtraction problem.
We can’t have a negative answer so we must take the absolute value of that number
If a toaster produces 15 ohms of resistance in a 120-volt circuit, what is the amount of current in the
circuit?
Answer:
8
Step-by-step explanation:
A toaster produces 15 ohms resistance
The volt is 120
Therefore the current can be calculated as follows
= 120/15
= 8
Hence the current is 8 Amp
A cylindrical container has a diameter of 5 inches and a height of 12 inches. The container will be wrapped and delivered as a gift. What measurement is closest to the amount of wrapping paper needed to cover the container without overlap?
Answer:
Step-by-step explanation:
1. Write your formula
2. Plug it in
3. Solve
these steps will help you out with all of your surface area problems.
Like this
Since it is a diameter you have to divide the diameter by 2. That will get you your radius. Then you write your formula for a cylinder. Your formula is...
V = Bh (Pie is also known as 3.14)
your big (B) is (pie times r squared) Then you add your height.
so your formula will look like this...
V = pie times r squared...
the full formula will be...
V = (3.14) times (2.5 squared) times the height which in this case is (12)
everything together will be...
V = (3.14) (2.5^2) (12)
all you have to do is multiply all of that and you will get your answer.
The answer is...
V = 236 inches ^2 (Just a tip, the ^ sign means to the power of)
Factor The Expression
14b + 10=
there are no options
Answer:
2(7b+5)
Step-by-step explanation: