Answers
Answer:
side-side-side
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
The similarity statement for the pair of triangles is triangle XYZ similar triangle ENW by AA similarity criterionand mathematically represented as: [tex]\Delta XYZ \, \sim \, \Delta ENW\\[/tex]
Given: In the figure, the angle YXZ is equal to angle NEW and the angle XZY is equal to angle ENW are marked in the corresponding triangles.
To prove triangle XYZ similar triangle ENW by following steps:
Step 1: Consider the triangle XYZ and triangle ENW.
Compare the angle in both the triangles.
[tex]\Delta XYZ \, and\, \Delta ENW\\[/tex][tex]\angle YXZ = \angle NEW\\[/tex][tex]\angle XZY = \angle NWE[/tex]Step 2: Applying the AA similarity criterion:
The Angle-Angle AA similarity criterion states if two angles of one triangle is equal to the corresponding triangle, then two triangles are similar,
This implies triangle XYZ and triangle ENW by AA similarity criterion.
Therefore, the triangle XYZ and triangle ENW by AA similarity criterion. That is [tex]\Delta XYZ \, \sim \, \Delta ENW\\[/tex]
Learn more about AA similarity criterion here:
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Related Questions
Y = -16x^2 + 119x + 57
Answers
Answer:
y1=-6.92
y2=-0.5146
Step-by-step explanation:
The height of a triangle is 7 feet greater than the base. the area of the triangle is 247 ft.² find the length of the base and the height of the triangle
Answers
Answer:
Base = 19
Height = 26
Step-by-step explanation:
Given :
Height, h = base, b + 7 feets
The area of triangle, A = 247 ft²
The area of a triangle is given by :
A = 1/2 * base * height
247 = 1/2 * b * (b + 7)
247 = 0.5 * b * (b + 7)
247 = 0.5b² + 3.5b
0.5b² + 3.5b - 247 = 0
Solving the quadratic equation ; using the quadratic equation solver, the roots are :
b = -26 or b = 19
Length of base can't be negative :
Hence,
Base, b = 19
Height, h = base + 7 = 19 + 7 = 26
24 rail cars is what % of 40 rail cars
Answers
Explanation: 40x.6(60%)=24
explanation: i got it from the guy up there^
Need help with this Equation
Answers
Answer:
15/17
Step-by-step explanation:
sine is opposite/hypotenuse
help urgent please
the graphs below have the same shape. what is the equation of the blue graph?
no links please
Answers
Answer:
D
Step-by-step explanation:
If you add or subtract three outside of the exponent (ex: x^2 + 3), then the parabola moves up and down.
If you add or subtract the number inside the exponent (ex: (x+3)^2), then the parabola moves side to side.
If you add three, the parabola moves left.
Thus, the answer is D.
What theorem shows that △NTM ≅△SMT?
Answers
Answer:
Step-by-step explanation:
Side, side angle (SSA) theorem shows that △NTM ≅△SMT.
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
From the given figure ΔNTM and ΔSMT share a common side MT.
Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.
Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.
learn more about congruency here :
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In 2014, the population of Arizona was approximately 5.23 x 10. if it’s land area
Answers
What is the equation of a circle with radius 4 and center (0,8)?
Answers
The equation of circle with the center at (h,k) is:
[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]
r stands for radius. Therefore r^2 = diameter or 2×radius.
The question has already given the information we need, which are:
radius = 4the center at (0,8)Since the center is (h,k) - therefore the center is at h = 0 and k = 8 making it (h,k) = (0,8).
Substitute the values in the equation:
[tex] \large{ {(x - 0)}^{2} + {(y - 8)}^{2} = {4}^{2} }[/tex]
Simplify to the simplest form
[tex] \large \boxed{ {x}^{2} + {(y - 8)}^{2} = 16} \: \: \: \: \huge{ \green{\checkmark}}[/tex]
Answer
The equation of a circle is x^2+(y-8)^2 = 16b b
A jar of her 'low-sugar' jam contains 102 grams of sugar.
What is the percentage of sugar in her 'low-sugar' jam?
Answers
Answer:
[tex]\% Low = 30 \%[/tex]
Step-by-step explanation:
Given
[tex]Total = 340g[/tex] -- missing
[tex]Low = 102g[/tex]
Required
% of sugar in Low
This is calculated as:
[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]
So, we have:
[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]
[tex]\% Low = \frac{102}{340} * 100\%[/tex]
[tex]\% Low = \frac{10200}{340} \%[/tex]
[tex]\% Low = 30 \%[/tex]
calculate the following range of scores for a continuous variable: 9,8,7,6,5,4,3,2. Use upper and lower real limits to calculate your answer.
Answers
Answer:
7
Step-by-step explanation:
Given the data :
9,8,7,6,5,4,3,2
Ordering the data from least to highest :
2, 3, 4, 5, 6, 7, 8, 9
The range of a dataset is given by :
Maximum - Minimum
Maximum value = 9
Minimum value = 2
Range of data:
9 - 2 = 7
Range = 7
osha stacked 65 quarter. nicky has 5 times as many. how many more quarters does Nicky have
Answers
1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824
Answers
9984/16 = 624
5824/16 = 364, but 9984 > 5824
A random sample of vehicle mileage expectancies has a sample mean of x¯=169,200 miles and sample standard deviation of s=19,400 miles. Use the Empirical Rule to estimate the percentage of vehicle mileage expectancies that are more than 188,600 miles.
____%
Answers
Answer: 16%
Step-by-step explanation:
Simplify the expression using the order of operations. 3(7 + 4) – 8.2
Answers
[tex]3(7 + 4) - 8.2 \\ 3 \times 11 - 8.2 \\ 33 - 8.2 \\ \\ = 24.8[/tex]
Step By Step Explanation:
Calculate: Add the numbersMultiply: Multiply the numbersCalculate: Subtract the numbersAlternate Forms:
124/5 24 4/5☆彡HannaAnswer:
[tex]3(7 + 4)-8.2[/tex]
[tex]3*11-8.2[/tex]
[tex]33-8.2[/tex]
[tex]24.8[/tex]
--------------------------hope it helps...have a great day!!A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answers
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]Ack, sorry im gonna need a way to delete this lol.
Thanks to the people who tried.
ima need someone to delete this.
Answers
How can the general term for the sequence shown below be defined for an, where n is a positive integer?
4, 11, 18, 25, ...
Answers
Answer:
25, 32
Step-by-step explanation:
4 - 11
7
11- 18
7
it is increasing by 7 so what is 25 plus 7?
32
Find the value of x.
Answers
Answer:
A
Step-by-step explanation:
because this shapes angle would be out of 360 so you do 360-83-85-69=123 is the answer you get.
hope it make sense:)
11
12
13
14
15
16
18
19
20
What is the value of x in the equation (3x + 12) = {(x + 14) – 3?
0
-24
46
0 0
Answers
Answer:
x = -24
Step-by-step explanation:
(2/3)(x/2 + 12) = (1/2)(x/3 + 14) - 3
2x/6 + 24/3 = x/6 + 14/2 - 3
2x/6 + 8 = x/6 + 7 - 3 = x/6 + 4
x/6 + 8 = 4
x/6 = -4
x = -24
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
No solution
Step-by-step explanation:
Given
[tex]|x| = -1[/tex]
Required
The solution
The above equation has no solution.
This is because [tex]|x| \ge 0[/tex]
In otherwords, the absolute value of a number is always positive.
The average horse requires 0.0333 Megacalories (Mcal) each day
for every kilogram (kg) it weighs. If your horse weights 665 kg,
and the food you are buying provides 950 kcal per pound of
food, how many pounds of food do you need each day for your
horse?
Answers
Answer:
23.31 pounds of food per day
Step-by-step explanation:
1 mcal = 1000 kcal
0.0333 mcal = x
0.0333 * 1000 = 33.3 kcal of food per kg
A horse which weighs 665 kg ; will this need :
(33.3 *665) = 22144.5 kcal of food per day
Kcal per pound of food purchased = 950 kcal
1 pound = 950 kcal
x pound = 22144.5 kcal
950x = 22144.5
x = 22144.5 / 950
x = 23.31 pounds of food
There were toy cars,dolls and teddy bears in a shop. 30% of the toys were toy cars. The ratio of the number of dolls to the number of teddy bears were 4:1 . There were 156 more dolls than you cars. After some toy cars were sold, 16% of the remaining toys in the shop was toy cars. How many toy cars were left in the shop?
Answers
Answer:
80 toy cars were left in the shop.
Step-by-step explanation:
Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:
Toy cars = 30%
Dolls and teddy bears = 70%
70/5 = 14 x 4 = 56
Dolls = 56%
Teddy bears = 14%
56 - 30 = 26
156/26 = 6 (1%)
Toy cars = 30 x 6 = 180
Dolls = 56 x 6 = 336
Teddy bears = 84
100 - 16 = 84
84 = 336 + 84 = 420
16 = X
84 = 420
16 = X
16 x 420/84 = X
80 = X
Therefore, 80 toy cars were left in the shop.
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answers
So your answer is
x=72
Acute Triangle
Answer:
72
Step-by-step explanation:
Angles of triangles add up to 180
x=180-57-51
x=72
The average marks for 25 students in a mathematics was was 48.
what was the total marks scored by the students?
A student who scored 84 marks was absent.
what was would be the average of the remaining students?
Answers
Answer:
132
Step-by-step explanation:
48
+ 84
--------
132
_____
Find the length of DF will give brainliest to the right answer
Answers
Answer:
3.75
Step-by-step explanation:
DF = 6/24 × 15 = 3.75
________________
A total of 416 tickets were sold for a school play they were either tickets for adults tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold
Answers
Answer:
let the number of adult tickets = x
Then the number of student tickets = 3x
Total tickets x+3x = 416
4x = 416
x = 416/4
x = 104
Therefore the number of adult tickets sold is 104
Step-by-step explanation:
Find the simple interest earned to the nearest cent, for the principal, interest rate, and time.
$340, 4%, 1 year
Pls
Answers
Kareem's rectangular flower bed measures 3ft long and 2ft wide. He wants to cover the flower bed in mulch. He knows the area each bag of mulch covers, but only in square centimeters
Answers
Hey buddy I am here to help!
Area of flower bed = 3 x 2 = 6ft
1 ft = 30.48cm
6 x 30.48 = 182.88cm2
Please Help me! I am giving 100 Points!
This is BEDMAS. B= BRACKETS E= EXPONENTS D= DIVIDE M=MULTIPLY A= ADD S= SUBTRACT. Do them in order.
1=
Answers
Answer:
Step-by-step explanation:
3) (15/3)^2+14+6+3^2
=5^2+14+6+3^2
=25+14+6+3^2
=25+20+3^2
=25+20+9
=25+29
=54
Answer:
3. 54
4. -524
5. 59
8. 60
9. 78
10. 61
Step-by-step explanation:
3. (15 / 3)^2 + ((14 + 6) + 3^2)
(5)^2 + ((20) + 9)
25 + 29 = 54
4. ((11 + 2) - (24 / 2)^2) x 2^2
((13) - (12)^2) x 4
(13 - 144) x 4
-131 x 4 = -524
5. ((4 + 3)^2 + 6) - 5 + 3^2
(7^2 + 6) - 5 + 9
(49 + 6) - 5 + 9
55 - 5 + 9
50 + 9 = 59
8. (6^2 + (24 / 3 + 5^2)) - 3^2
(36 + (8 + 25)) - 9
(36 + 33) - 9
69 - 9 = 60
9. ((10 - 4)^2 x 2) + 2 + 2^2
(6^2 x 2) + 2 + 4
(36 x 2) + 2 + 4
72 + 2 + 4 = 78
10. (7^2 + (16 / 8 + 2^2)) + 3^2
(49 + (2 + 4)) + 9
(49 + 6) + 9
55 + 9 = 61
SOMEONE HELP ME PLEASE
Simplify The Radical Expession
Answers
Answer:
[tex]\sqrt[4]{324n^4} =[/tex][tex]\sqrt[4]{4*81n^4} =[/tex][tex]\sqrt[4]{4*3^4n^4} =[/tex][tex]3|n|\sqrt[4]{4}[/tex]Correct choice is B
