Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove by SSS or SAS, then write “not enough information” and explain why.
Answers
These triangles are congruent under the SAS congruence criterion. We can prove it using the following steps :
Given :
In triangle 1 and 2 :
A side in triangle 1 and a side in triangle 2 are equal.Another side in triangle 1 and triangle 2 is equal. The angle between the equivalent sides is also equal.Since the SAS congruence criterion says that two triangles are congruent if two of their sides and one included angle is equal and since these 2 triangles fulfill all of those rules, we can conclude that these triangles are congruent under the SAS congruence criterion.
Related Questions
PLS HELP!!!! :))) BDHDHSJWJDJD
Answers
Answer:
Your answer is "H"
Step-by-step explanation:
If a tree in a 1 in.: 2ft scale drawing is 10 inches tall, how tall is the actual tree?
Answers
Answer:
20 ft.
Step-by-step explanation:
You can solve this as a proportion:
[tex]\frac{1}{2} = \frac{10}{y}[/tex]
The y is equal to 20.
Hope it helps!
Pls help I’ll mark brainliest
Answers
Answer:
2=72 4=148 6=222 10=370 15=555 16=592
sorry about the second part i didnt see it
Answer:
148, 3 , 740, 1110, 8.
Step-by-step explanation:
Miles: 148 + 740 + 1,110 = 1,998
Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42
What quadrilateral's diagonals are perpendicular and they bisect each other?
Answers
Answer:
Rhombus
Step-by-step explanation:
The diagonals of Rhombus bisect each other and form 4 right triangles. Since they are right triangles, they measure 90 degrees so the diagonals are perpendicular.
Please answer ASAP!
Which proportional relationship has the greatest rate of change?
Answers
Answer:
Option (1) ; y = 7x
Step-by-step explanation:
(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7
(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3
(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2: rate of change = (8 - 0) , (2 - 0) = 4
(4) shos a line with slope (rate of change) given by: (12 - 0) / (2 - 0) = 12/2 = 6
Therefore, the greatest rate of change is shown by the first expression
y = 7 x
How do I evaluate this using trigonometric substitution?
∫dx/(81x^2+4)^2
Answers
Answer:
[tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]
General Formulas and Concepts:
Alg I
Terms/CoefficientsFactorExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Pre-Calc
[Right Triangle Only] Pythagorean Theorem: a² + b² = c²
a is a legb is a legc is hypotenuseTrigonometric Ratio: [tex]\displaystyle sec(\theta) = \frac{1}{cos(\theta)}[/tex]
Trigonometric Identity: [tex]\displaystyle tan^2\theta + 1 = sec^2\theta[/tex]
TI: [tex]\displaystyle sin(2x) = 2sin(x)cos(x)[/tex]
TI: [tex]\displaystyle cos^2(\theta) = \frac{cos(2x) + 1}{2}[/tex]
Calc
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
IP [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
U-Trig Substitution: x² + a² → x = atanθ
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{dx}{(81x^2 + 4)^2}}[/tex]
Step 2: Identify Sub Variables Pt.1
Rewrite integral [factor expression]:
[tex]\displaystyle \int {\frac{dx}{[(9x)^2 + 4]^2}}[/tex]
Identify u-trig sub:
[tex]\displaystyle x = atan\theta\\9x = 2tan\theta \rightarrow x = \frac{2}{9}tan\theta\\dx = \frac{2}{9}sec^2\theta d\theta[/tex]
Later, back-sub θ (integrate w/ respect to x):
[tex]\displaystyle tan\theta = \frac{9x}{2} \rightarrow \theta = arctan(\frac{9x}{2})[/tex]
Step 3: Integrate Pt.1
[Int] Sub u-trig variables: [tex]\displaystyle \int {\frac{\frac{2}{9}sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4tan^2\theta + 4]^2}} \ d\theta[/tex][Int] Factor: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4(tan^2\theta + 1)]^2}} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4sec^2\theta]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{16sec^4\theta} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{72} \int {\frac{sec^2\theta}{sec^4\theta} \ d\theta[/tex][Int] Divide [ER - D]: [tex]\displaystyle \frac{1}{72} \int {\frac{1}{sec^2\theta} \ d\theta[/tex][Int] Rewrite [TR]: [tex]\displaystyle \frac{1}{72} \int {cos^2\theta} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{1}{72} \int {\frac{cos(2\theta) + 1}{2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} \int {cos(2\theta) + 1} \ d\theta[/tex][Int] Rewrite [Int Prop - A/S]: [tex]\displaystyle \frac{1}{144} [\int {cos(2\theta) \ d\theta + \int {1} \ d\theta][/tex]Step 4: Identify Sub Variables Pt.2
Determine u-sub for trig int:
u = 2θ
du = 2dθ
Step 5: Integrate Pt.2
[Ints] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {2cos(2\theta) \ d\theta + \int {1 \theta ^0} \ d\theta][/tex][Int] U-Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {cos(u) \ du + \int {1 \theta ^0} \ d\theta][/tex][Ints] Integrate [Trig/Int Rule - RPR]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(u) + \theta + C][/tex][Expression] Back Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(2 \theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Rewrite [TI]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2}(2sin(\theta)cos(\theta)) + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [sin(\theta)cos(\theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Back Sub: [tex]\displaystyle \frac{1}{144} [sin(arctan(\frac{9x}{2}))cos(arctan(\frac{9x}{2})) + arctan(\frac{9x}{2}) + C][/tex]Step 6: Triangle
Find trig values:
[tex]\displaystyle tan\theta = \frac{9x}{2}[/tex]
[tex]\displaystyle \theta = arctan(\frac{9x}{2})[/tex]
tanθ = opposite / adjacent; solve hypotenuse of right triangle, determine trig ratios:
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
Leg a = 2
Leg b = 9x
Leg c = ?
Sub variables [PT]: [tex]\displaystyle 2^2 + (9x)^2 = c^2[/tex]Evaluate exponents: [tex]\displaystyle 4 + 81x^2 = c^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle \sqrt{4 + 81x^2} = c[/tex]Rewrite: [tex]c = \sqrt{81x^2 + 4}[/tex]Substitute into trig ratios:
[tex]\displaystyle sin\theta = \frac{9x}{\sqrt{81x^2 + 4}}[/tex]
[tex]\displaystyle cos\theta = \frac{2}{\sqrt{81x^2 + 4}}[/tex]
Step 7: Integrate Pt.3
[Exp] Sub variables [TR]: [tex]\displaystyle \frac{1}{144} [\frac{9x}{\sqrt{81x^2 + 4}} \cdot \frac{2}{\sqrt{81x^2 + 4}} + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [\frac{18x}{81x^2 + 4} + arctan(\frac{9x}{2}) + C][/tex][Exp] Distribute: [tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]A submarine descended 3/4 of a kilometer in 1/4 of an hour. What was the submarine's rate of descent?
Answers
15 men can dig a trench og 90m in 3 hours. how long will it take 16 men to dig a trench of 48m long?
Answers
Answer:
1.5 hours
Step-by-step explanation:
Answer:
1.5 hours
Step-by-step explanation:
15 men can dig a trench 90 feet deep in 3 hours. So, first, we have to divide 90 by 3 to find the depth that 15 men can dig in 1 hour.
90/3 = 30
Next, we need to divide 30 by 15 to find how deep 1 man can dig in 1 hour.
30/15=2.
Now, since there are 16 men in this second project, we need to multiply 16 by 2 to find how much 16 men can dig in 1 hour.
16x2 = 32.
Finally, we have to add 16 to get 48.
Since we added the depth for 1 hour plus the depth for half an hour to get the total depth, we can say that 16 men can dig 48m in 1.5 hours.
12
A model maker wants to make a model of a
ship
He will use a scale of 1:50
The ship was 100ft long
1 foot = 0.3 m
How long will the ship be in cm?
Answers
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
The model ship will be x feet long, where ...
x/100 = 1/50
x = 100/50 = 2
In meters, that is ...
2(0.3 m) = 0.6 m
A meter is 100 cm, so the length in centimeters is ...
(0.6)(100 cm) = 60 cm
I need help once more (●'◡'●)
Answers
Answer:
3= 25 4= 20 25= 5
Step-by-step explanation:
its a pattern. the top goes up by ones and the bottom goes up by fives.
n the figure at the right UV || BJ || QL, BQ = 6, UL = 3y - 1 , VB = y + 2 and UJ = y + 5 then y =
Answers
Answer:
s
Step-by-step explanation:
Find c.
Round to the nearest tenth:
a
10 cm
1509
12°
с
c = [? ]cm
Law of Sines: sin A
sin B.
b
sin C
С
a
Enter
Answers
9514 1404 393
Answer:
14.9 cm
Step-by-step explanation:
To find c using the Law of Sines, you must know angle C. That is found from ...
C = 180° -A -B = 180° -150° -12° = 18°
Then the law of sines tells you ...
c/sin(C) = b/sin(B)
c = b·sin(C)/sin(B) = (10 cm)·sin(18°)/sin(12°)
c ≈ 14.9 cm
Match each percent with the corresponding decimal
0.5%
5%
50%
Answers
Answer:
well your first two are going to be 0.05 and the late one is 0.5
Step-by-step explanation:
hope this helps tell if wrong
2. 5% = .05
3. 50% = .50
Just move the decimal to the left two times
4. A surgical patient needs to have her liquid intake carefully monitored. How many mL of fluid did she consume if she
drankL of water, a pint of milk, and 8 oz of juice?
Answers
1 pint = 473.176 mL
1000 mL in decimals = 0.001
8 ounces = 236.588 mL
473.176 + 0.001 + 236.580 = 709.765
The patient consumed 709 mL or 709.765 mL with decimals.
Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours? HELP FAST!!!!
Answers
Answer:
1/12
Step-by-step explanation:
1/6 divided by 2 = 1/12
How does the graph change between point A and point B?
On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B.
A. The graph increases.
B. The graph decreases.
C. The graph remains constant.
D. The graph increases, then decreases.
Answers
Answer:
the answer is b well i dont know i cant see any thing
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
GEOMETRY PLZZZZZ HELPPPPP
Answers
Answer:
(x,y) becomes (-y,x) so (3,2) would become (-2,3)
What is - or how do you find answer to:
12 1/2 - (-4 1/2) =
Answers
Answer:
8
Step-by-step explanation:
12 times 1/2=6
(-4(1/2))= -2
6-(-2)
6+2
=8
The value, y, in dollars of an autographed basketball after x years can be represented by the function y=4000(1.05)x.
What is the value of the basketball after 5 years to the nearest dollar?
Answers
Answer:
I took the test!!
Step-by-step explanation:
Pit this in your calculator exactly like this 4,000(1.05)^5 and you get the answer 5,105.12625. So round your answer to the nearest dollar, which is 5,105.
A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running at 30 miles per hour. How many minutes will it take the bear to catch the deer? Assume both continue running at a constant pace.
Answers
Answer:
Step-by-step explanation:
d=20t+1/3, b=30t
20t+1/3=30t
10t=1/3
t=1/30 hr
t=(1/30)60=2 min
I ate water by drinking it how?
Answers
Answer:
There's no concern that water will dilute the digestive juices or interfere with digestion. In fact, drinking water during or after a meal actually aids digestion. Water is essential for good health. Water and other liquids help break down food so that your body can absorb the nutrients.
Answer:
chewing on it or by ice
Step-by-step explanation:
please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A
Answers
Answer:
b
Step-by-step explanation:
A plane travels 1820 meters at a speed of 260 m/sec. How long did it
take to reach its destination? PLEASE HELP!
Answers
Answer:
7 seconds
Step-by-step explanation:
1820/260=7.
Answer:
7m/sec
Step-by-step explanation:
The phone lines to an airline reservation system are occupied 61% of the time. Assume that the events that the lines are occupied on successive calls are independent. If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
Answers
Answer:
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Step-by-step explanation:
For each call, there are only two possible outcomes. Either the lines are occupied, or they are not. The events that the lines are occupied on successive calls are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The phone lines to an airline reservation system are occupied 61% of the time.
This means that [tex]p = 0.61[/tex]
If 11 calls are placed, what is the probability that the lines are occupied for exactly 5 calls
This is P(X = 5) when n = 11. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{11,5}.(0.61)^{5}.(0.39)^{6} = 0.1373[/tex]
0.1373 = 13.73% probability that the lines are occupied for exactly 5 calls
Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?
a $131.25
b $331.66
c $2,625.00
d $3316.62
Answers
Answer:
C.
Step-by-step explanation:
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
Group of answer choices
He can't buy any CDs.
He can buy 11 CDs.
He can buy 10 CDs.
He can buy more than 11 CDs.
Answers
Answer:
He can buy 10 cds
Step-by-step explanation:
125-30=95
95 divided by 9 = 10.5555555556
An order of tissues was shipped in 20 cube shaped boxes, each in the shape of a cube, measuring 4 inches in each dimension. How many cubic inches of tissues are in a shipment?
Answers
Answer:
1,280in cubes
Step-by-step explanation:
For one box it would be 4 x 4 x 4=64. Then for 20 boxes it would be 64 x 20= 1,280 cubic inches.
What is the domain of f for f(x)=x-3/x+2?
Answers
Answer:
(-infinity, -2) ∪ (-2, infinity)
Step-by-step explanation:
I will have to assume that you meant
f(x)=(x-3)/(x+2). You must use parentheses to specify the order of operations in this problem.
x can take on any value except -2, at which the function is undefined.
Thus, the domain is (-infinity, -2) ∪ (-2, infinity)
The perimeter of a rectangular e room is 24 feet. Twice the length
decreased by three times the width is 4 feet. What are the dimensions e of
thg room?
Please help me
Answers
Answer:
i am gessing to divide
Step-by-step explanation:
I Need Help Giving Out 10 points! Plz Help
Answers
Answer:
b and d
Step-by-step explanation:
