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Pavlova-9 [17]
3 years ago
11

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

9514 1404 393

Answer:

  yes, the triangles are congruent -- by the SAS congruence postulate

Step-by-step explanation:

Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.

The two triangles are SAS congruent.

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In physics, it is important to use mathematical approximations. for instance, in a small angle approximation, tanα ∼ sin α . fin
siniylev [52]
Note that x is measured in radians.
The percent difference or error between sin(x) and tan(x) is calculated as 
d = 100( \frac{|sin(x)-tan(x)|}{sin(x)} )

We want this percent difference to be less than 10.4%.
Because tan(x) > sin(x) for small values of x, define
f(x) =  \frac{tan(x)-sin(x)}{sin(x)}= 0.104 \\ or \\ sec(x) - 1  = 0.104 \\ sec(x) = 1.104

From the calculator, obtain
sec⁻¹ 1.104 = 0.4375

Answer:  x = 0.4375 radians

5 0
3 years ago
A family member has some five dollar bills and one dollar bills in their wallet. Altogether she has 18 bills and a total of $62.
Pepsi [2]
X - the number of five dollar bills
y - the number of one dollar bills

She has 18 bills in total.
x+y=18 \\ y=18-x

She has $62.
5x+y=62 \\
y=62-5x

Set both expressions equal to each other:
18-x=62-5x \\
-x+5x=62-18 \\
4x=44 \\
x=11 \\ \\ y=18-x=18-11=7

She has 11 five dollar bills and 7 one dollar bills.
7 0
3 years ago
For each of the questions below, use the equations:
natka813 [3]

Ok, so you want to substitute g and f in these equations so the f(x) = 2x+3x2-5 is equal to 10+6-5 or 11. The other equation is equal to 19. For the explanation put " I found this answer by substituting the given values for the variables in the equation". Your Welcome!


6 0
3 years ago
A statewide real estate sales agency, Farm Associates, specializes in selling farm property in the state of Nebraska. Its record
givi [52]

Answer:

Test statistic = 1.818

Reject H0

Step-by-step explanation:

H0 : μ = 90

H1 : μ > 90

xbar = 94 ; s = 22 ; n = 100

The test statistic : (xbar - μ) ÷ (s/√(n))

Test statistic = (94 - 90) ÷ (22/√100)

Test statistic = 4 ÷ 2.2

T = 1.818

The critical value :

At α = 0.10

Degree of freedom = n - 1 = 100 - 1 = 99

Tcritical(0.10, 99) = 1.290

Decison region :

Reject H0 if Test statistic > |Tcritical |

1.818 > 1.290

We reject H0

8 0
3 years ago
I really need help!!! Some please help me.
vlabodo [156]

Answer:

2

Step-by-step explanation:

5x0.4=2

.4x2=5

4 0
3 years ago
Read 2 more answers
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