Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.
Answer:
1. SSS
2. SAS
3. SAS
4. SSS
5. SAS
6. SAS
Step-by-step explanation:
1) Side FY ≅ Side CW Given
Side FP ≅ Side CM Given
Side YP ≅ Side MW Given
∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency
2) ∠CBD ≅ ∠BCA given that both are alternate interior angles
Side EB ≅ Side EC and Side DB ≅ Side CA Given
ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency
3. ∠SVU ≅ ∠SVT Given
Side SV ≅ Side SV by reflexive property
Side VT ≅ Side VU Given
∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency
4. Side MN ≅ Side QP Given
Side MQ ≅ Side NP Given
Side NQ ≅ Side NQ by reflexive property
∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency
5. Indirect proof
Side GL ≅ Side HL Given
Side GJ ≅ Side HK Given
∠JLG ≅ ∠HLK vertically opposite angles
By sine rule
GJ/sin(∠JLG) = GL/n(∠GJL)
Similarly
HK/sin(∠HLK) = HL/n(∠HKL)
∴ ∠GJL ≅ ∠HKL
∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent
∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency
6. ∠XZY ≅ ∠XZW Supplementary ∠s with ∠XZY = 90°
Side XZ ≅ Side XZ by reflexive property
Side ZW ≅ Side ZY Given
∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.
The congruence theorems that can be used for each of the given pair of triangles are;
1) SSS
2) SAS
3)SAS
4) SSS
5) SAS
6) SAS
1) From the image we see that;
FY ≅ CW
FP ≅ CM
YP ≅ MW
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.
2) From the image we see that;
∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;
∠CBD ≅ ∠BCA
Also, we see that;
EB ≅ EC
DB ≅ CA
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.
3) From the image, we see that;
∠SVU ≅ ∠SVT
Using reflexive property, the shared sides give;
SV ≅ SV
VT ≅ VU
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.
4) From the image, we see that;
MN ≅ QP
MQ ≅ NP
Using reflexive property, the shared sides give;
NQ ≅ NQ
This means that 3 corresponding sides of the 2 triangles are congruent and as such it means ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.
5) From the image, we see that;
GL ≅ HL
GJ ≅ HK
∠JLG and ∠HLK are vertically opposite angles and as such;
∠JLG ≅ ∠HLK
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.
6) We observe from the given triangles that;
∠XZY ≅ ∠XZW (They are both right angles = 90°)
Using reflexive property, the shared side is congruent to itself and so;
XZ ≅ XZ
Also;
ZW ≅ ZY
This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;
ΔXYZ ≅ ΔXWZ using Side-Angle-Side (SAS) congruency theorem.
Read more at; https://brainly.com/question/14399801
PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON
Answer:
the answer is A because it has all numbers less than 15
Step-by-step explanation:
The perimeter of a square with side length s
Answer:
4s
Step-by-step explanation:
The perimeter of a square is 4 times it's side length.
Formula for a perimeter of a square: [tex]4s[/tex]
s - side length
Hope this helps.
Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee? $
Answer:
3
Step-by-step explanation:
the shopkeeper buys 100 oranges for $ 25, 50 kg of apples for $ 80 and 20 melons for $ 15. he sells all of these oranges, apples and melons at the prices shown in the table. calculate his percentage profit
Answer:
Table?
Step-by-step explanation:
find the zeros of the polynomial x square-3 and verify the reationship between the zeros and the coefficient.
Answer:
√3, and -√3
Step-by-step explanation:
to find the zeros or roots of the polinomial x²-3 make it equal to zero and solve for x
x²-3=0 add 3 to both sides to isolate x
x² = 3 squareroot both sides
√x²= √3
x= ±√3 are the two zeros
Find the length of the diagonal of a square with perimeter 56
Answer:
About 19.8
Step-by-step explanation:
First find the side lengths. In this example, 56/4=14
Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.
Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.
DUE AT TWELVE.Help it's savvas math pleaseeeeeee
Answer:
65%
Step-by-step explanation:
What I did was 2900/2 is 1450 which is half and than I subtract 1450 by 1,885 giving me 435 more people. I honestly, guess 65% but I also checked it on the calculator 2900 - 65% give 1,885. So, 65% is the correct answer.
Martin correctly answered 90% of the questions on a math test that contained exactly 40 questions. How many of the questions did he answer incorrectly? explain
A) 4
B) 10
C) 44
D) 90
Answer:
A. 4
Step-by-step explanation:
90% of 40 is = 36
40 - 36 = 4
Since he got 36 right out of 40, he got 4 wrong.
What does the area of any shape tell us??
The area of a shape tells you the amount of space inside. The perimeter tells you how long the outline is. This is what the area and perimeter tell you.
Hope this helps you!
1(x-31)= 5(2+5)vvvvvb
Answer:
1x-31=35
1x=35+31
1x=66
x=66
HELPPPP! ILL GIVE YOU BRAINLIEST!
Answer:Can you put the question?? Thank You
Step-by-step explanation:
Answer:
what can i help with?
Step-by-step explanation:
BONUS! What is the slope of the line that passes through (-3, 5) and (-1, 8)?
Answer:
The slope is 3/2
Step-by-step explanation:
Slope formula y2 - y1
x2 - x1
8-5/-1+3
3/2
The slope is 3/2
~PumpkinSpice1
Answer:
The slope is 3/2
Step-by-step explanation:
Use slope intercept form. [tex]\frac{y_2-y_1}{x2-x_1}[/tex]
[tex]\frac{8-5}{-1-(-3)}[/tex] = [tex]\frac{3}{2}[/tex]
can someone explain how to calculate a unit rate
Answer:
It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.
solve.
1/x = 1/5x = x-1/5x
Answer:
5=x=x-1
Step-by-step explanation:
Mutiply each equation by 5x
You will get 5=x=x-1
6w-19+k when w=8 and k=2
Answer:
f
Step-by-step explanation:
f
To plot the point (5, -3) you would move up 5, then left 3.
1. False
2. True
Answer:
False
Step-by-step explanation:
Positive in the X-axis is always to the right and negative is left and in the Y-axis positive is up and negative is down
I NEED HELL LIKE RIGHT NOW !!!
Which equation represents the graph?
Answer:
ummm im pretty sure its d
Step-by-step explanation:
Answer:
im pretty sure its last option y=2x
Step-by-step explanation:
on the graph it touches all even numbers
Select all equations that can result from adding these two equations or subtracting one from the other.
x+y=12
3x-5y=4 PLZ
HELP QUICK I WILL GIVE BRAINLYIEST
Answer:
If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. First “undo” the addition and subtraction, and then “undo” the multiplication and division. Solve 3y + 2 = 11. Subtract 2 from both sides of the equation to get the term with the variable by itself.
Step-by-step explanation:
hope this helps, sorry if late
Can someone help me please?
Answer:
about 6000π
Step-by-step explanation:
Help Please! A runner saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes?
F $71.43 G $60.00 H $51.23 J $8.75
Answer:
Option F: $71.43 is the correct answer.
Step-by-step explanation:
By the question we can observe that 35% of regular price is $25 so this information will be used to calculate the original price of the shoes.
Let
P be the price of shoes
and d be the discount
So
[tex]d = \$25\\P=?[/tex]
The discount is 35% of P so
[tex]d = 35\%\ of\ P\\25 = 0.35 * P\\P = \frac{25}{0.35}\\P = 71.42857...[/tex]
Rounding off to the nearest hundredth
The regular price is: $17.43
Hence, option F: $71.43 is the correct answer.
7/2x+1/2x=6+5/2x pls help
Answer:
4
Step-by-step explanation:
7/2+1/2=8/2
8/2=6=5/2
8/2-5/2=3/2
3/2=6
3/2=1.5
6/1.5=4
I need help with this problem a/3 + 5a/12 = 9/4
Answer:
= 3
/3 + 5a/12 = 9/4
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
Slope: Rise/run
= -2/4
= -1/2
Answer:
-1/2
Step-by-step explanation:
Like I said in your previous question!!
RISE/RUN.
Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!
I hope this helps!!
what is the value of x
Umm there is no numbers
Зу +6 - 4(х - 9) Standard Form
Answer:
3y + 42 -4x
Step-by-step explanation:
3y +6 -4(x-9) distribute -4 through the ( )
3y + 6 -4x + 36 calculate add the numbers
3y + 42 -4x
i need help ASAP ill mark u a brainiest i need an answer thats it
Answer:
I think it's 7.5 correct me if i'm wrong
Step-by-step explanation:
7.5 is half of 15
Use the midsegement theorem
Help me solve this problem please
Answer:
sorry im just answering this cuz need points
Step-by-step explanation:
Help me out please !!!
Answer:
rate of change = 1.75 over 1 or just 1.75
Step-by-step explanation:
this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.
Given that sin θ = 3/4 and θ is in Quadrant II:
Find cos θ.
this is for the Sin
*Remember that sin = opposite / hypotenuse*
a² + b² = c² (where a and b are legs and c is the hypotenuse)
From the picture, you can see:
a = 3
c = 4
Plug these into the equation and solve for b.
* a² + b² = c² *
step 1: 3² + b² = 4²
step 2: 9 + b² = 16
step 3: b² = 16 - 9
step 4: b² = 7
step 5: √(b²) = √7
step 6: b = ± √7
FOR COS:
From the picture, you can see that if θ is in quadrant II, b has to be negative.
b = -√7 = adjacent
Remember that cos θ = adjacent / hypotenuse.
cos θ = adjacent / hypotenuse
cos θ = (-√7 / 4)