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

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

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

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

I really really need the answer to this NOW

Answers

Answer:

185 and 1/3

Step by step explanation

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°

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:

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:

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.

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)

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

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

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

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

Answers

Answer:

2

Step-by-step explanation:

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]

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

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.

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

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

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

Answers

Answer: 2

Step-by-step explanation:

Name a ray with an endpoint of A.

Answers

B to A. it passes through E

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 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.

What type of angles
eve these?


Linear pair
Acute
Complementary
Other:

Answers

They are supplementary angles.

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

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:

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

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

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.

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]

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