All categories

3 years ago

Find m∠ABD and m∠CBD given m∠ABC = 111∘.

Mathematics

2 answers:

sineoko [7]3 years ago

7 0

Answer:

m∠ABD = 88º

m∠CBD = 23º

Step-by-step explanation:

(-10x + 58) + (6x + 41) = 111

Combine like terms

-4x + 99 = 111

Subtract 99 from both sides

-4x = 12

Divide both sides by -4

x = -3

------------------------

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD = = 30 + 58

m∠ABD = 88º

m∠CBD = 6x + 41

m∠CBD = 6(-3) + 41

m∠CBD = -18 + 41

m∠CBD = 23º

lakkis [162]3 years ago

3 0

Answer:

88, 23

Step-by-step explanation:

<ABD + <DBC = <ABC

(-10x + 58) + (6x + 41) = 111

-10x + 58 + 6x + 41 = 111

99 - 4x = 111

-4x = 111-99

-4x = 12

x = 12/-4

x = -3

m∠ABD = -10x + 58

m∠ABD = -10(-3) + 58

m∠ABD = = 30 + 58

m∠ABD = 88º

<DBC = 6x + 41 = 6*-3 + 41 = -18 + 41 = 23

Hope it helps u

Please mark as brainliest

You might be interested in

Please help me solve? (m3n + 8)(m3n - 5) multiplying polynomial by polynomial

ruslelena [56]

The final result should be $m^{6}n^{2} - 3m^{3}n - 40$ .

In order to multiply any polynomials, use the pattern FOIL (which stands for first, outer, inner, last). You multiply what they ask you to at each step.

First - The first terms in both parenthesis.

$m^{3}n * m^{3}n = m^{6}n^{2}$

Outer - The terms on the outside of both parenthesis.

$m^{3}n * -5 = -5m^{3}n$

Inner - The terms on the inside of both parenthesis.

$m^{3}n * 8 = 8m^{3}n$

Last - the last numbers in each parenthesis.

8 * - 5 = - 40

Now we put all the answers together and simplify like terms,

$m^{6}n^{2} + -5m^{3}n + 8m^{3}n - 40$

$m^{6}n^{2} - 3m^{3}n - 40$

8 0

3 years ago

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. Is the relationship between number of

BabaBlast [244]

Answer:

Step-by-step explanation:

The cost per sandwich when 3 are delivered is $20/3 or $6.67 each.

The cost per sandwich when 4 are delivered is $26/4 or $6.50 each.

The average cost per sandwich changes with the number delivered, so it is not proportional. The cost decreases per sandwich as the volume of sandwiches increases. One can't predict the cost of 6 delivered sandwiches based on the information provided. If it were proportional, the cost could be calculated on the basis of the slope of the line. If all sandwiches cost $6.50 each, regardless of the volume ordered, the slope of a line relating number ordered and total cost would have a constant slope of 6.50. That isn't the case in this problem. The slope keeps changing.

8 0

2 years ago

Billy visits a local restaurant. He has 3 meat choices, 10 vegetable choices, 2 bread choices, 6 dessert choices, and 5 drink ch

Galina-37 [17]

There are 1800 different meals can he possibly have if he chooses one each of meat, vegetable, bread, dessert, and drink.

What is Fundamental principle of counting?

The Fundamental Counting Principle (also called the counting rule) is a way to figure out the number of outcomes in a probability problem. Basically, you multiply the events together to get the total number of outcomes.

3 meat choices, 10 veg choices, 2 bread choices, 6 dessert choices.

According to the fundamental principle of counting,

Total number of choices = 3 x 10 x 2 x 6 x 5 choices

= 1800 choices

Thus, There are 1800 different meals can he possibly have if he chooses one each of meat, vegetable, bread, dessert, and drink.

Learn more about fundamental principle of counting from:

brainly.com/question/4747487

#SPJ1

8 0

2 years ago

PLS HELP ITS TIMED

8_murik_8 [283]

A. Ten seconds is your answer

5 0

3 years ago

Evaluate<br> (-5)3<br> Mathematics

TiliK225 [7]

Multiply 5 by 3.-15

I hope this is right :P

5 0

3 years ago