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Ugo [173]
3 years ago
5

Triangle ABC and DEF are congruent. Find x.

Mathematics
2 answers:
blondinia [14]3 years ago
8 0

Because ABC and DEF are congruent.

m∠A = m∠D

m∠B = m∠E

m∠C = m∠F.

We need m∠B = m∠E.

m∠B = 65⁰

m∠E = (x-8)⁰

65 = x-8

x=65 + 8 = 73⁰

Answer: x=73⁰.

miv72 [106K]3 years ago
4 0

Δ ABC ≡ ΔDEF

⇒ ∠DEF = ∠ABC

.

<u>Solve x:</u>

x - 8 = 65

x = 73

.

Answer: x = 73°

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If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many studen
Lunna [17]
Given:
μ = 68 in, population mean
σ = 3 in, population standard deviation

Calculate z-scores for the following random variable and determine their probabilities from standard tables.

x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088

x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912

x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587

x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413

Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36

Answer: 27

Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36

Answer: 27

Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78

Answer: 204

Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150

Answer: 150

3 0
3 years ago
H-E-B buys cases of almonds and walnuts. Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case. H-E-B
Korvikt [17]

x is case of almonds and y is case of walnuts.

Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

H-E-B orders no more than 200 bags of almonds and walnuts at a time.

So,

x + y < 200

where x and y refers to the number of bags

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

H-E-B pays $24 per case of almonds and $27 per case of walnuts, but will not order more than $300 total at any one time.

But keep in mind that : Almonds are packaged 15 bags per case and walnuts are packaged 17 bags per case.

So,

24 * (x/15) + 27 * (y/17) < 300

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

The constraints are:

x + y < 200

(24/15) x + (27/17) y < 300

So, the graph of the previous constraints is as following :

5 0
1 year ago
To win a basketball game, one team scored 113 points. They made a total of 41 two pointers and three pointers how many of the ba
anyanavicka [17]
So there are 41 two pointers and three pointers.  
there are 21 two pointers and 20 three pointers


6 0
3 years ago
A fixed cost: Multiple Choice Requires the future outlay of cash and is relevant for future decision making. Does not change wit
Charra [1.4K]

Answer:

A fixed cost: Does not change with changes in the volume of activity within the relevant range

Step-by-step explanation:

Fixed Cost:

In economics, a fixed cost in a specified period of time does not change with respect to an increase or decrease in the production of goods or services. In contrast, the variable cost changes in proportion to changes in production of goods or services.

Examples of Fixed Cost:

Salaries, Rents, insurance payments, taxes, some utilities etc

7 0
3 years ago
Read 2 more answers
Can someone plz help me I’m being timed hurry!!!!!!!!
diamong [38]

Answer:

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

Step-by-step explanation:

Super easy. All you do is replace the numbers in your table with the corresponding letter. In this case we have a table of s and f.

Example for row two: f = s + 12. Replace s with 4 ( 4 is from your s column so you would replace it with that) then solve and plug in your answer (When you solve your answer, it will go under f column).16 = 4 + 12 . f = 16, s = 4.

Formula = f = s + 12.

1. 14 = 2 + 12

2. 16 = 4 + 12

3. 18 = 6 + 12

4. 20 = 8 + 12

5 0
3 years ago
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