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kolezko [41]
3 years ago
5

Side AC = 4, side BC = 6, side DF = 4, and side EF = 6. What side corresponds to side AB and can be used to show that ΔABC ≅ ΔDE

F by SSS
Mathematics
1 answer:
algol133 years ago
6 0
The side that corresponds with side AB is side DE

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Find the sum that amounts to rs.3025 at 10% p.A
Brrunno [24]

Answer:

P = Rs2500

Step-by-step explanation:

Given that,

Amount, A = Rs 3025

Rate, r = 10%

Let time, t = 2 years

We need to find the sum if the amount is compounded annually. Using the formula of compound interest.

A=P(1+\dfrac{r}{100})^n\\\\P(1+\dfrac{10}{100})^2=3025 \\\\P(1.21)=3025\\\\P=\dfrac{3025}{1.21}\\\\P=\text{Rs}\ 2500

So, the sum of money is Rs 2500.

7 0
3 years ago
Find all solutions in the interval [0, 2π). 7 tan3x - 21 tan x = 0
mihalych1998 [28]
To solve the trigonometric expression we proceed as follows;
7(tan x)^3-21tanx=0
this can be written as:
7(tan x)^3=21tanx
dividing through by 7 we get:
(tan x)^3=tan x
dividing through by tan x we get:
(tanx)^1=1
hence;
tan x=+\-1
when tan x=1
x=45
when tan x=-1
x=-45
Given that our answer should be at the interval [0,2π] the answer:
45=45/180=1/4π
3 0
4 years ago
How do you use trigonometric ratios to solve for a missing side or angle of a right triangle?
Kisachek [45]

Answer:

the sine of the angle of one corner equals the opposite side divided by the hypotenuse.

the cosine of the angle of one corner equals the adjacent side divided by the hypotenuse.

the tangent of the angle of one corner equals the opposite side divided by the adjacent side.

3 0
3 years ago
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Alexxandr [17]
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3 years ago
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Find each measure m<1, m<2,m<3
Leno4ka [110]

Answer:

option 2.

m1 = 75    ,   m2 = 129   ,   m3 = 100

Step-by-step explanation:

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

x + 46 + 29 = 180

x = 180 - 46 -29

x = 105

a flat angle has 180 °

m1 + 105 = 180

m1 = 180 - 105

m1 = 75

46 + 54 + y = 180

y = 180 - 46 -54

y = 80

80 = z + 29

z = 80 - 29

z = 51

as they are two crossed lines the angle is reflected from the opposite side

with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)

m2 * 2 = 360 - 51 * 2

m2 = 258/2

m2 = 129

m2 = 29 + m3

129 = 29 + m3

m3 = 129 - 29

m3 = 100

4 0
3 years ago
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