Find the value of z. Then find the value of the interior angles ​

Find The Value Of Z. Then Find The Value Of The Interior Angles

Answers

Answer 1

Step-by-step explanation:

[tex] \because \angle JKM [/tex] is the exterior angle of [tex] \triangle KLM [/tex]

[tex] \therefore [/tex] by remote interior angle theorem of a triangle, we have:

[tex] m\angle L + m\angle M = m\angle JKL \\\\

(18z + 3)\degree + (5z - 3)\degree = 161\degree \\\\

(18z + 3+5z - 3)\degree = 161\degree \\\\

(23z)\degree = 161\degree \\\\

23z = 161\\\\

z = \frac{161}{23} \\\\

\huge \red {\boxed {z = 7}} \\\\

\because \measuredangle L = (18z +3)\degree \\\\

\therefore \measuredangle L = (18\times 7+3)\degree \\\\

\therefore \measuredangle L = (126+3)\degree \\\\

\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \\\\

\because \measuredangle M = (5z - 3)\degree \\\\

\therefore \measuredangle M= (5\times 7-3)\degree \\\\

\therefore \measuredangle M = (35-3)\degree \\\\

\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \\\\[/tex]


Related Questions

SOMEONE HELP ME PLS

Answers

Answer:

1/5^15

Step-by-step explanation: when ever you want to convert the number becomes a fraction to sibstitute for the sighn change and the exponent stays positive.

if cost $25 per day to rent a tux plus a $50 cleaning fee. if samuel paid $200, how many days did he have the tux?

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

he had the tux for 6 days because he paid the cleaning fee

Step-by-step explanation:

Nolan uses 3 yards of string. He cuts the string into pieces that are 1/6 yard long. How many pieces does Nolan have?

Answers

Answer:

18

Step-by-step explanation:

6×3=18

Answer:

18

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x
f(2) = 0
f(2)= 2
f(2)= 4
f(2) = 8

Answers

Answer:

f(2) = 0

Step-by-step explanation:

Evaluate: f(2) if f(x) = 4 - 2x; plug in 2 for x

f(2) = 4 - 2(2) = 4 - 4 = 0

Answer:

f(2) = 0

Step-by-step explanation:

Put 2 in the place of x,

f(2) = 4 - 2(2)

f(2) = 4 - 4

f(2) = 0

2) There are 500 calories in 5 servings of Sour
Patch Kids. How many calories per serving?
How many calories are there in 8 servings?

Answers

there are 100 calories per serving and there a 800 calories in 8 servings.

A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?

Answers

Answer:

20feet

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet

3/2 * (-5/8) what is the an

Answers

Answer:

-15/16

Step-by-step explanation:

3/2 x (-5/8) = 12/8 x -5/8 = -60/64 = - 15/16

Brian bought a jacket that cost d dollars. He paid the clerk $60,00 He received $7.39
in change. How much did Brian pay for the jacket?

Answers

Answer:

52.61 is what Brian payed for the Jacket.

Step-by-step explanation:

52.61 + 7.39 = 60$ in total.

Answer:

ok so a jacket would never cost 60,00 i think you meant 60.00 so it would be $52.61 for the jacket

Step-by-step explanation:

Subtract 7.39 from 60

if you really did mean 60000 the answer would be 5992.61

HELP ME PLEASE: I WILL GIVE BRAINLIEST AND IT IS 20 POINTS

Answers

Answer:

0

Step-by-step explanation:

any log with a base of one and it becomes logv5 (1) after logv5(logV3 (3) because log3(3) equal one so then logv5 (1) is 0

What is the remainder when 3x2−7x+5 is divided by x+5?

Answers

Answer: 2

Step-by-step explanation:

what is the answer to this?

Answers

Answer:

AA

Step-by-step explanation:

The smaller triangle and the bigger triangle have the same angle of 60 on one side.

They also have a common point at the top, which is also called a common angle.

You only need two angles to show that two triangles are similar, because the other angle has to be the same because all angles in a triangle add up to 180.

A small-town newspaper examines its daily circulation. Last week, it sold 200 newspapers daily. This week, it sold 186 newspapers daily. Part A: What is the percent decrease in the newspaper's circulation since last week? Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

Answers

Answer:

7%

173

Step-by-step explanation:

Given that :

Daily sales last week = 200

Daily sales this week = 186

% decrease in newspaper circulation :

(Decrease / initial amount) * 100%

((200 - 186) / 200) * 100%

(14 / 200) * 100%

0.07 * 100%

= 7%

Part B: If circulation decreases by the same percent next week, what will the daily circulation be?

7% decrease the following week :

(100% - 7%) of 186

93% * 186

0.93 * 186

= 172.98

= 173

In the equation 3x+7=15, the number 7 is a.​

Answers

Answer:

constant

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x+7=15

= 3x= 8

=X=2.6(6 is reoccurring)

How can you solve one-variable equations using inverse operations?​

Answers

Answer:

you can't, im sorry I don't knowbit but I do need points

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes. How often do they blink at the same time?A.Every 14 minutesb.Every 24 minutesc.Every 48 minutesd.Every 2 minutes

Answers

Answer:

b. Every 24 minutes

Step-by-step explanation:

A neon sign blinks every 6 minutes, and another sign blinks every 8 minutes.

The first step is to:

Find and list multiples of each time each neon sign blinks.

This means, we find the Multiples of 6 and 8

Multiples of 6:

6, 12, 18, 24, 30, 36

Multiples of 8:

8, 16, 24, 32, 40

The first and common multiple of 6 and 8.

Therefore, the Least common multiple [LCM(6, 8) ] = 24

Hence, they often blink at the same time every 24 minutes.

Therefore, option b.Every 24 minutes is correct.

What type of angles
eve these?


Linear pair
Acute
Complementary
Other:

Answers

They are supplementary angles.

I NEED THE ANSWER NOW

Answers

Answer:

The last one

Step-by-step explanation:

68/5 - 22/5 = 46/5 = 9 1/5

Answer:

Option d

Explanation:

[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]

46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]

PLEASE HURRY ILL GIVE BRAINLEST AND 50 POINTS FOR THE CORRECT ANSWER ASAP

Answers

Answer:

m∠W is 28°

m∠X is 24°

Step-by-step explanation:

In any triangle, the measure of an exterior angle at one vertex of a triangle equals the sum of the measures of the two interior angles opposite to this vertex

In the given figure

∵ ∠WYZ is an exterior angle of Δ XYW at vertex Y

∵ ∠W and ∠X are the interior angles of Δ XYW opposite to the vertex Y

→ Use the fact above

m∠WYZ = m∠X + m∠W

∵ m∠WYZ = 52°

∵ m∠X = 3y°

∵ m∠W = (4y - 4)°

→ Substitute them in the equation above

52 = 3y + 4y - 4

→ Add the like terms

∴ 52 = 7y - 4

→ Add 4 to both sides

∵ 52 + 4 = 7y - 4 + 4

∴ 56 = 7y

→ Divide both sides by 7

∵ [tex]\frac{56}{7}[/tex] = [tex]\frac{7y}{y}[/tex]

8 = y

→ Substitute y in the measures of ∠X and ∠W

∵ m∠X = 3(8)

m∠X = 24°

∵ m∠W = 4(8) - 4 = 32 - 4

m∠W = 28°

At Summer camp, campers are divided into groups. Each group has 16 campers and 2 cabins. How many cabins are needed are needed for 48 campers? A: 14 B: 20 C: 6 D: 30

Answers

Answer:

6

Step-by-step explanation:

At summer camp campers are divided into groups

Each group has 16 campers and 2 cabins

Therefore the number of cabins needed for 48 campers can be calculated as follows

16 campers = 2 cabins

48 campers = x

Cross multiply

16 × x = 48×2

16x =96

x= 96/16

x= 6

Hence 6 cabins are needed for 24 campers

Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11

Answers

Answer:

10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000

I really really need the answer to this NOW

Answers

Answer:

185 and 1/3

Step by step explanation

PLEASE HELP!! 15 Points for CORRECT ANSWER ( nOT POINT D) THANK YOU AND BRAINLIEST

Answers

Answer:hmm I think point d

I’m not to sure ✨

Step-by-step explanation:

Answer:

I think its point E it would make the most sense

Step-by-step explanation:

I'm pretty sure in in the same plane and A,C,G

When two angles are supplementary their sum is equal to 180 degrees. Let x equal one of two supplementary angles. If the other angle is equal to 67 degrees, write
an equation in terms of x for the sum of the two angles.

Answers

since we know supplementary angles equal 180 degrees, we know that 67 plus x must equal 180 degrees, so the equation for this problem would be

67+x=180, and x is equal to 113

rules of a formal debate

Answers

Answer:

Step-by-step explanation:

be formal and dont yell

Answer:

Each of the six speakers (three affirmative and three negative) speak in succession to each other, beginning with the Affirmative Team. The speaking order is as follows: First Affirmative, First Negative, Second Affirmative, Second Negative, Third Affirmative, and finally Third Negative.

Step-by-step explanation:

HELP PLEASE PLEASE PLEASE!!The function f(x) = 4x – 8 is reflected across the y-axis, resulting in a new function, g(x). Write the EQUATION of g(x). Please show how you got it!!!

Answers

Not sure but I think g(x)= -4x -8
The minus makes the graph descend and therefore it's on the other site of the y-axis (sorry for my English haha...I'm not a native speaker)

If the function f(x) = 4x – 8 is reflected across the y-axis. Then the reflected function will be g(x) = – 4x – 8.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

It is the image of the line which is located in the opposite direction of a given line.

The function f(x) = 4x – 8 is reflected across the y-axis.

If the function f(x) = 4x – 8 is reflected across the y-axis, then replace x with negative x. Then the reflected function will be

g(x) = – 4x – 8

The graph of the function and reflected function is given below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

Whats the answer for this question guys???

Answers

Answer:

0.78539816

Step-by-step explanation:

hope this helped

Answer:

25m

Step-by-step explanation:

/_B=pie/4=45°

since we have /_C=90° then this triangle is a right isosceles triangle

so sides are equal

so a=b= 25 m

What is the slope-intercept equation of the line (easy?)

Brainliest if right

Answers

Answer:

y = 1x + 2

Step-by-step explanation:

did i get it right?

Answer:

[tex]y=\frac{3}{4} x+2[/tex]

Step-by-step explanation:

y=mx+b

We have two points (0,2) and (4,5).

2=m(0)+b --> So b=2

5=4m+2

4m=3

m=[tex]\frac{3}{4}[/tex]

[tex]y=\frac{3}{4} x+2[/tex]

Find tan-1 1.4281 to the nearest degree.
a. 10°
b. 55°
C. 5°
d. 35°

Answers

Answer:

[tex]\:x=55^{\circ \:\:}[/tex]

Therefore, option 'b' is correct.

Step-by-step explanation:

Let x be the angle

tan x = 1.4281

determining the [tex]\tan ^{-1}\left(1.4281\:\right)[/tex]

[tex]\:\tan \:x\:=1.4281\:[/tex]

[tex]x=\tan ^{-1}\left(1.4281\:\right)[/tex]

[tex]\:x=55^{\circ \:\:}[/tex]

Therefore, option 'b' is correct.

what is the akis of symmetry
y=2x^2-8x+1

Answers

Answer:

2

Step-by-step explanation:

Name a ray with an endpoint of A.

Answers

B to A. it passes through E
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