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Kamila [148]
2 years ago
5

Determine the value of ∠EBD∠EBD. Show your work. Giving 18 POINTS

Mathematics
1 answer:
Trava [24]2 years ago
3 0

The value of  ∠EBD is 66°

<h3>Vertically opposite angles</h3>

Vertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,

∠EBA≅∠CBF

Therefore,

∠EBA = 40 - x

∠EBA  + ∠EBD = 90°(complementary angles)

Therefore,

40 - x + 6x - 30 = 90

5x = 90 + 30 - 40

5x = 80

x = 80 / 5

x = 16

Therefore,

∠EBD = 6(16) - 30 =  66°

learn more on angles here: brainly.com/question/10987237

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With show work needed. a and b.
Andru [333]

a)

Solution,

Given,

Cost for 1 pen = $ 1.50

= 1.50×100 cents

= 150 cents

Cost for 1 ruler = 80 cents

No. of Pens needed to be bought = x

No. of rulers needed to be bought = x+10

Now,

Cost for x pens = x×150 cents

= 150x cents

Cost for (x+10) rulers = (x+10)×80 cents

= 80x cents+800 cents

Then,

Total cost = 150x cents+(80x cents+800 cents)

= 150x cents+80x cents+800 cents

= 230x cents+800 cents

= $(230x ÷ 100)+$(800 ÷ 100)

= $2.3x + $8

Therefore,Louise spent $2.3x and $8 as total amount

b)

Sorry,I dont know inequality

7 0
1 year ago
SOME HELP PLSS THANK U
vladimir2022 [97]
Letter D is the correct answer
3 0
3 years ago
Need help quickly test
MissTica
The answer is A - 5.
7 0
4 years ago
Which of these fractions is equivalent 1/8?<br> A.3/24<br> B.2/9<br> C.1/16<br> D.9/17<br> E.11/18
Brrunno [24]

Answer:A:3/24

Step-by-step explanation:

It’s basic math

4 0
3 years ago
How many integers are there that consist of four digits (from 1000 to 9999) where the first digit is a 5 or an 8 and the third d
Ostrovityanka [42]

Answer:

1600 integers

Step-by-step explanation:

Since we have a four digit number, there are four digit placements.

For the first digit, since there can either be a 5 or an 8, we have the arrangement as ²P₁ = 2 ways.

For the second digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

For the third digit, since it neither be a 5 or an 8, we have two less digit from the total of ten digits which is 10 - 2 = 8. So, the number of ways of arranging that is ⁸P₁ = 8.

For the last digit, we have ten numbers to choose from, so we have ¹⁰P₁ = 10.

So, the number of integers that can be formed are 2 × 10 × 8 × 10 = 20 × 80 = 1600 integers

5 0
3 years ago
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