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Dafna11 [192]
3 years ago
8

Find the measure of the arc DC

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

The measure of arc DC is 50°. Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees. What is the measure of Arc E B C? 40° 90° 140° 220°

Step-by-step explanation:

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

3 0
3 years ago
I am trying to figure this question: <br><br> 1 + tan^2A = Sec^2A
chubhunter [2.5K]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

cos²A + sin²A = 1 ( divide terms by cos²A )

\frac{cos^2A}{cos^2A} + \frac{sin^2A}{cos^2A} = \frac{1}{cos^2A} , that is

1 + tan²A = sec²A ← as required

3 0
3 years ago
I need help with all of these I don’t get it
pochemuha
The first question each friend gets 1/8 of the whole pizza 
for half of the pizza each friend gets 1/4 so that times 2 equals 1/8

The second question one person gets 1/15 of the brownie pan
1/5 times 3 equals 1/15
 
The third question 1/3 cup one serving 1 cup three servings three times six equals 18 servings 

The fourth question 1/5 cup one muffin one cup 5 muffins five times nine equals forty-five muffins

Hope this helps
8 0
3 years ago
What is the 185th digit in the following pattern 12345678910111213141516...?
Natalka [10]
1-9  = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899.  Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0
3 years ago
What is the solution to this equation 2/3x+1=1/6×-7
Alika [10]

Answer:

A . x= -16

Step-by-step explanation:

\\\frac{2}{3}x+1=\frac{1}{6}x-7\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x+1-1=\frac{1}{6}x-7-1\\\\\frac{2}{3}x=\frac{1}{6}x-8\\\\\mathrm{Subtract\:}\frac{1}{6}x\mathrm{\:from\:both\:sides}\\\\\frac{2}{3}x-\frac{1}{6}x=\frac{1}{6}x-8-\frac{1}{6}x\\\\= \frac{1}{2}x=-8\\\\\mathrm{Multiply\:both\:sides\:by\:2}\\\\2\times \frac{1}{2}x=2\left(-8\right)\\\\x=-16

7 0
3 years ago
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