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3 years ago

Angle ABC is congruent to angle CBD. Find x

Mathematics

1 answer:

KengaRu [80]3 years ago

4 0

If the two given values are equal, we can just set them equal to each other and solve for the common variable.

In this case, we have $3x - 40 = 2x - 5$

Add $40-2x$ to both sides of the equation: $x = 35$

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Solve the quadratic equation using any method. Round to the nearest tenth if neccessary. Any Help Is Appreciated

AVprozaik [17]

Answer:

$x = -0.8\ or\ x = 0.5$

Step-by-step explanation:

Given [Missing from the question]

$6x^2 + 2x - 2.5 = 0$

Required

Solve

Using factorization, we have:

$6x^2 + 2x - 2.5 = 0$

Expand 2x

$6x^2 - 3x+5x - 2.5 = 0$

Factorize

$3x(2x - 1)+2.5(2x - 1) = 0$

Factor out 2x - 1

$(3x +2.5)(2x - 1) = 0$

Split:

$(3x +2.5) = 0\ or\ (2x - 1) = 0$

In both cases, solve for x

$3x = -2.5\ or\ 2x = 1$

$x = -\frac{2.5}{3}\ or\ x = \frac{1}{2}$

$x = -0.8\ or\ x = 0.5$ --- approximated

5 0

2 years ago

There is an ice cream and candy shop next-door that is the same size as your bakery. How many 30th of the space does it take up

Solnce55 [7]

Well, this is basically perimeter and Area. So, if there next door, your going to want to find out 50% of the ice cream shop and candy shop. 40% of it is next to each other . So 40 x 2= 80, there’s the answer . Hope this helps!!!

4 0

3 years ago

Find the range of the data set 7,510,9,15,12,6,9,7,10

Blizzard [7]

Answer: 10

Step-by-step explanation:

So to find range you take the highest number and subtract it by the lowest

3 0

2 years ago

Read 2 more answers

A railroad track rises 30 feet for every 400 feet of track. What is the measure of the angle of elevation of the track?

gtnhenbr [62]

Answer:

Step-by-step explanation:

Rising 30 feet for every 400 feet of track is not a very large angle of elevation. We set this up as a right triangle to use right triangle trig to solve for the missing angle. The height is 30 and the hypotenuse is 400. The height is the side opposite the angle in question, and the hypotenuse is the hypotenuse! This is the sin ratio. Setting up the ratio using our info:

$sin\theta=\frac{30}{400}$

When you are looking for a missing angle measure, as we are here, use the 2nd-->sin buttons to find the inverse of sin, which looks like this:

$sin^{-1}($

Enter in the fraction 30/400 after the parenthesis and then hit enter to get the angle measure of 4.3 degrees.

3 0

3 years ago

POSSIBLE POINTS. 1

erastova [34]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

where

a and b are the legs

and

c is the hypotenuse

the problem gives the "legs" because the LONGEST leg is always the hypotenuse.

a^2 + b^2 = c^2

1071^2 + 1840^2 = c^2

1147041 + 3385600 = c^2

4532641 = c^2

6 0

1 year ago