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nalin [4]
3 years ago
6

∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?

Mathematics
1 answer:
madam [21]3 years ago
7 0

Answer:

90°

Step-by-step explanation:

ABC ~ DEF so that means E = B.  A triangle has to add up to 180° so that means 180-35-55=90

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Two poles, AB and ED, are fixed to the ground with the help of ropes AC and EC, as shown:
kipiarov [429]

Answer:

15.59 feet

Step-by-step explanation:

We need to find BC and CD

First find BC

We can use the Pythagorean theorem

AB^2 + BC^2 = AC^2

11^2 + BC^2 = 13^2

121 + BC^2 =169

Subtract 121 from each side

121-121+BC^2 = 169-121

BC^2 = 48

Take the square of each side

sqrt(BC^2 ) = sqrt( 48)

BC = 6.92820323

then we need to find CD

We can use the Pythagorean theorem

CD^2 + DE^2 = CE^2

CD^2 + 5^2 = 10^2

CD^2 + 25 =100

Subtract 25 from each side

CD^2 + 25-25 =100-25

CD^2 = 75

Take the square of each side

sqrt(CD^2 ) = sqrt( 75)

BC = 8.660254038


BD = BC +CD

     = 6.92820323 + 8.660254038

     15.58845727


7 0
3 years ago
Please i really need this awnser
vodka [1.7K]

Answer:

im sorry it does not show the picture i hope you find help

Step-by-step explanation:

6 0
3 years ago
For each 11 mm of coloured fabric Nick uses to make his curtains, he also uses 2 cm of white fabric. Express the amount of white
defon

Answer:

The amount of white fabric to coloured fabric as a ratio is 20:11

Step-by-step explanation:

We are given that For each 11 mm of colored fabric Nick uses to make his curtains, he also uses 2 cm of white fabric.

Length of colored fabric = 11 mm

Length of White fabric = 2 cm

1 cm = 10 mm

2 cm = 20 mm

So, length of white fabric = 20 mm

So, Ratio of the amount of white fabric to coloured fabric = \frac{20}{11}

Hence the amount of white fabric to coloured fabric as a ratio is 20:11

3 0
3 years ago
1) Expand and simplify the following:<br>a)3(x squared plus 3x cubed - 2)​
Musya8 [376]

Answer:

3x³ + x² - 2

Step-by-step explanation:

a) 3(x squared plus 3x cubed - 2)​

x squared = x²

3x cubed = 3x³

3(x squared plus 3x cubed - 2)​

= 3(x² + 3x³ - 2)

= 3x² + 9x³ - 6

Rearrange according to power

= 9x³ + 3x² - 6

When the expression is divided by 3, it is equivalent to

3x³ + x² - 2

5 0
3 years ago
Dominick’s unpaid credit card balance was $2103.24. His APR is 14.4%.
Hatshy [7]
New balance=previous balance+finance charge+New transaction

First we need to calculate the finance charge in order to find the new balance

Finance charge=2,103.24×(0.144÷12 months)
=25.24

New balance
2,103.24+25.24+280
=2,408.48

Hope it helps!
4 0
3 years ago
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