x-y=5 what is the slope intercept form of the equation of the line what is the slope intercept form of the equation of the line

Which statements are true about ΔJKL and ΔLMN? Select all that apply.

svp [43]

Answer:

A. ΔJKL and ΔLMN have only one pair of angles that are congruent

C. ΔJKL has angles that measure $50^o,60^o,70^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle KLJ=m\angle MLN$ ----> by vertical angles

substitute the given values

$(6x-2)^o=(5x+10)^o$

solve for x

$6x-5x=10+2\\x=12$

step 2

Find the measure of the interior angles of triangle JKL

we have

$m\angle KLJ=(6(12)-2)=70^o$

$m\angle KJL=(5(12))=60^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle JKL=180^o-130^o=50^o$

therefore

Triangle JKL has angles that measure $50^o,60^o,70^o$

step 3

Find the measure of the interior angles of triangle LMN

we have

$m\angle MLN=(5(12)+10)=70^o$

$m\angle LMN=(6(12)-7)=65^o$

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

$m\angle LNM=180^o-135^o=45^o$

Triangle LMN has angles that measure $45^o,65^o,70^o$

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

The corresponding angles of triangle JKL and LMN are not congruent

therefore

The triangles are not similar

Verify each statement

Part a) ΔJKL and ΔLMN have only one pair of angles that are congruent

The statement is true (see the explanation)

Part b) ΔJKL and ΔLMN have two pairs of angles that are congruent

The statement is false

Because have only one pair of angles that are congruent

Part c) ΔJKL has angles that measure $50^o,60^o,70^o$

The statement is true (see the explanation)

Part d) ΔLMN has angles that measure $50^o,60^o,70^o$

The statement is false

Because, Triangle LMN has angles that measure $45^o,65^o,70^o$

Part e) ΔJKL and ΔLMN are similar

The statement is false

Because, the corresponding angles are not congruent

6 0

4 years ago

Can finding distance between a line be a decimal

nlexa [21]

Answer:

the answer is: Yes, the distance between a line be a decimal.

Step-by-step explanation:

" The distance between two straight lines in the plane is the minimum distance between any two points lying on the lines".

Yes, finding the distance between a line can be in decimals.

let r and s be two lines such that P(a,b) and Q(c,d) are points on the line.

then the distance between lines is given by:

$\sqrt{(a-c)^2+(b-d)^2}$

so, this square root value may come in decimal as well.

Hence, the distance between two lines can be in decimals.

6 0

3 years ago

I need help i am confused

lilavasa [31]

I always think of fractions as pieces of pizza. If one pizza is cut into 4 slices and another pizza is cut into 2 slices, which will have a bigger slice?

1/4 is the same as 0.25 or 25% of a whole

1/2 is the same as 0.5 or 50% of a whole

2/3 is the same as 0.66 or 66% of a whole

This means that the fractions ordered from least to greatest are B) 1/4, 1/2, 2/3

4 0

3 years ago

Read 2 more answers

Kyle is buying a new car. The car can be driven 24.3 miles with one gallon of gas. The gas tank can hold 15.3 gallons of gas. Ky

ipn [44]

Im sure the answer is 371.79

4 0

3 years ago

Read 2 more answers

What is the perimeter of the triangle?

snow_tiger [21]

Answer:

The perimeter of the triangle is 34 units

Step-by-step explanation:

7 0

3 years ago