MATHEMATICS HIGH SCHOOL

Decide whether there is enough information to prove that △WXZ≅△YZX using the SAS Congruence Theorem.A: yes; Because ZW≅XY, ∠W≅∠Y, and WX≅YZ, the two triangles are congruent by the SAS Congruence Theorem
B: yes; Because ZW≅XY, ∠W≅∠Y, and ZX≅XZ, the two triangles are congruent by the SAS Congruence Theorem.
C: no; There is one pair of congruent sides and one pair of congruent angles, but there is no other pair of congruent sides.
D: no; There are two pairs of congruent sides and one pair of congruent angles, but the angles are not the included angles.
Decide whether there is enough information to prove that △WXZ≅△YZX - 1

Answers

Answer 1
Answer:

Answer:

B

Step-by-step explanation:

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What is the total of 1500 with 5% sales tax

Give the digits in the ones place and the tenths place.
68.23

Answers

Digit in ones place- 8
Digit in tenths place- 2

Suppose you'd like to see if I have money to pay cash for the next year. The goal is to save an extra $26,000 over the next six years. What amount of quarterly payments must you make it into an account that earns 5.5% interest in order to reach your goal?

Answers

Answer:

Amount he must save to earn his goal = $7193.1≅

Step-by-step explanation:

The 5.5% interest is compounded quarterly, hence the compound interest expression is used

A = P(1+r%)ⁿ

A = $26000

P = ?

r = 5.5%

n = 4 x 6 = 24 quarters

P = A ÷ (1+r%)ⁿ = 26000 ÷ (1 + 0.055)²⁴ = 7193.070497956 = $7193.1≅

The graph below shows the value of Edna's profits f(t), in dollars, after t months:graph of quadratic function f of t having x intercepts at 6, 0 and 18, 0 and vertex at 12, negative 36

What is the closest approximate average rate of change for Edna's profits from the 12th month to the 18th month?

(A)5.92 dollars per month
(B) 3.75 dollars per month
(C) Five dollars per month
(D) Nine dollars per month

Answers

Average rate of change=(0-(-36))/(18-12)= (36)/(6)=6
The closest approximate average rate of change is :A) 5.92 dollars per month.

Based on the calculations, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

How to calculate the closest approximate average rate of change?

In order to calculate the closest approximate average rate of change based on the values contained in the graph, we would use the slope formula as follows:

Slope = (Change\;in\;y\;axis)/(Change\;in\;x\;axis)\n\nSlope = (y_2\;-\;y_1)/(x_2\;-\;x_1)

Substituting the given points into the formula, we have;

Slope = (0\;-\;(-36))/(18\;-\;12)\n\nSlope = (36)/(6)

Slope = 6.

Therefore, the closest approximate average rate of change for Edna's profits is equal to 5.92 dollars per month.

Read more on slope here: brainly.com/question/3493733

#SPJ5

Given 2 points on a graph, write the equation of the graph. Vertex (3,5). Point(5, -3)

Answers

we know that
for
y=a(x-h)^2+k
vertex is (h,k)
given vertex is (3,5)
y=a(x-3)^2+5
we are also given
(5,-3)
x=5 and y=-3 is a possible solution

-3=a(5-3)^2+5
-3=a(2)^2+5
minus 5 both sides
-8=a(4)
-8=4a
divide by 4 both sides
-2=a


the equation is
y=-2(x-3)^2+5

4. Which of the following is an arithmetic sequence?
A. 4, 1, -2,-5, -8 B.4,-12, 36, -108​

Answers

A is an arithmetic sequence since the common difference is -3 while B is a geometric sequence and depends on multiples
A is the answer :) it goes my increments of -3

Help me with this promblem THXXXX

Answers

Answer: Choice C)

Function 1 = negative y intercept

Function 2 = positive y intercept

====================================================

Explanation:

A. This is false because function 2 has a positive y intercept. Each time x goes up, y goes down. Reverse this and decreasing x leads to increasing y.

B. False. Function 1 has a negative y intercept. The y intercept occurs where the diagonal line crosses the y axis.

C. True. The graph shows a negative y intercept. The y intercept of function 2 is (0,2).

D. False. This contradicts choice C.
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