MATHEMATICS COLLEGE

Select the postulate or theorem that you can use to conclude that the triangles are similar.A) AA Similarity Postulate
B) SAS Similarity Theorem
C) SSS Similarity Theorem

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

$\angle JKH = \angle GFH$ (alternate angles)

$\angle JHK = \angle GHF$ (vertically opposite angles)

So answer is (A) AA Similarity Postulate.

Related Questions

A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x^2 + 6x + 4. The height, H, in inches, is modeled by H(x) = x + 3. Find the equation that models the fish tank’s volume, V, in cubic inches.A. V(x) = 2x^2 + 7x + 7B. V(x) = 2x^2 + 5x + 1C. V(x) = 2x^3 + 12x^2 + 22x + 12D. V(x) = 2x^3 + 8x^2 + 10x + 4
Which expression is equivalent to 2la+26)-2-26?
3/8+ 5/6 divided by 5
In figure, MN : NP = 9:1. If MP = 2. Find the distance from M to point K that is 1/4 the distance from M to N?(A) 1 (B) 1 1/3 (C) 9/20 (D) 1 8/10
2x+y=7 for y neeedd help

Solve for x. x - 1
2 = 4

Answers

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

+ 12 = +12

x = 16

Answer:

Step-by-step explanation:

The sum of two numbers is 87. the difference of two numbers is 65 what are the two numbers

Answers

Step-by-step explanation:

Letthe two numbers be x and y

By the question

x +y =87.....equation (I)

x -y =65......equation (II)

Now adding both equations we get

2x =152

x =152/2

Therefore x =76

Putting x =76in equation i

76+y =87

y =87-76

Therefore y =11

The two numbers are 76and 11.

Hope it helps :)

Answer:

11, 76

Step-by-step explanation:

Let the two numbers be x and y.

According to the given conditions:

x + y = 87.....(1)

x - y = 65....(2)

Adding equations (1) & (2)

x + y = 87

x - y = 65

__________

2x = 152

x = 152/2

x = 76

Plug x = 76 in equation (1)

76 + y = 87

y = 87 - 76

y = 11

Thus the two numbers are 11 and 76.

The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing Service, the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (6 p.) (a) Obtain and interpret the quartiles for these scores. (b) Find and interpret the 99th percentile for these scores

Answers

Answer:

(a) The first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

The second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

The third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

(b) The 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Step-by-step explanation:

The first, second the third quartile are the values that let a probability of 0.25, 0.5 and 0.75 on the left tail respectively.

So, to find the first quartile, we need to find the z-score for which:

P(Z<z) = 0.25

using the normal table, z is equal to: -0.67

So, the value x equal to the first quartile is:

$z=(x-m)/(s)\n x=z*s +m\nx =-0.67*119 + 462\nx=382.27$

Then, the first quartile is 382.27 and it means that at least el 25% of the scores are less than 382.27 points.

At the same way, the z-score for the second quartile is 0, so:

$x=0*119+462\nx=462$

So, the second quartile is 462 and it means that at least el 50% of the scores are less than 462 points.

Finally, the z-score for the third quartile is 0.67, so:

$x=z*s +m\nx =0.67*119 + 462\nx=541.73$

So, the third quartile is 541.73 and it means that at least el 75% of the scores are less than 541.73 points.

Additionally, the z-score for the 99th percentile is the z-score for which:

P(Z<z) = 0.99

z = 2.33

So, the 99th percentile is calculated as:

$x=z*s +m\nx =2.33*119 + 462\nx=739.27$

So, the 99th percentile is 739.27 and it means that at least el 99% of the scores are less than 739.27 points.

Someone PLEASE HELP ME ?????

Answers

Answer:

Step-by-step explanation:

Since m is parallel to n, there are special rules that apply to these angles. One such rule is corresponding angles, which are angles in matching corners. In this case, both of the angles are in the bottom right, which makes them corresponding. Corresponding angles are always congruent, therefore x=69.

Answer:

69 degrees

Step-by-step explanation:

What is the value of (–7 + 3i) + (2 – 6i)? a. –9 – 3i
b. –9 + 9i
c. –5 + 9i
d. –5 – 3i

Answers

Answer:

Step-by-step explanation:

(-7 + 3i) + (2-6i)

=-7 + 3i + 2 -6i

=(-7+2) + (3i -6i)

=-5 -3i

Answer:

(-7+3I)+(2-6I)

= -7+3i+2-6i

= -5-3I

so answer is d ie -5-3i

A Jewelry store makes necklaces and bracelets from gold and platinum. vThe store has 18 ounces of gold and 20 ounces of platinum. vEach necklace requires 3 ounces of gold and 2 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 4 ounces of platinum. vThe demand for bracelets is no more than four. vA necklace earns $300 in profit and a bracelet $400. vThe store wants to determine the number of necklaces and bracelets to produce in order to maximize profit.a. Formulate a linear programming model for this problem.b. Solve this model using graphical analysis.

Answers

Answer:

maximum profit is$2400 when 4 necklace and 3 brackets are made.

Step-by-step explanation:

Total gold = 18 ounces

Total platinum = 20 ounces.

let X₁ represents the necklace and X₂ represents the bracelets.

A. Linear Programming Model

maximize:

$300x_(1) + 400x_(2)$

with constraints:

for gold:

$3x_(1) + 2x_(2) \leq 18$ ---(1)

for platinum:

$2x_(1) + 4x_(2) \leq 20$ ---(2)

The demand for bracelets is no more than four i.e.

$x_(2)\leq 4$ ---(3)

$x_(1),x_(2)\geq 0$

B. Graphical Analysis

Final answer:

To maximize profit, formulate a linear programming model with constraints for the number of necklaces and bracelets to produce. Solve the model using graphical analysis to find the optimal solution.

Explanation:

To formulate a linear programming model for this problem, let x be the number of necklaces to produce and y be the number of bracelets to produce. The objective is to maximize profit, which can be expressed as: Profit = 300x + 400y. The constraints are: 3x + 2y ≤ 18 (gold constraint), 2x + 4y ≤ 20 (platinum constraint), 0 ≤ x ≤ infinity (non-negativity constraint), and y ≤ 4 (demand constraint).

To solve this model using graphical analysis, graph the feasible region determined by the constraints. The feasible region is the region in which all constraints are satisfied. The optimal solution will be at one of the corner points of the feasible region. Calculate the objective function at each corner point and select the one that maximizes profit.