Triangle QRS has the angle measures shown.

What is the measure of the obtuse angle?

m2Q=(1x)

mZR= (3x)

m25 = (6x)

O 18

54

108

© 216

Answers

Answer 1

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees


Related Questions

W-1<4 need help please

Answers

Answer:

5

Step-by-step explanation:

collect like terms

w<4+1

w<5

The equation for the price of a baseball card that was bought for 5 dollars and has appreciated 5% yearly. Find the yearly calue of the card 25 years later

Answers

Answer:

The yearly value of the card 25 years later is $16.93.

Step-by-step explanation:

You can use the following formula to find the future value:

FV=PV(1+r)^n

FV= future value

PV= present value= 5

r=rate= 0.05

n=number of periods of time= 25

Now, you can replace the values in the formula:

FV=5(1+0.05)^25

FV=5(1.05)^25

FV=16.93

According to this, the answer is that the yearly value of the card 25 years later is $16.93.

Can someone help me please?!

Answers

Answer:

its three good sir

Step-by-step explanation:

Pls help :) i really need to finish it

Answers

Answer:

ok so if equilateral triangle has 1 inch and box has 9 inch of height, the lateral area would be 27 square-inch

Step-by-step explanation:

Can you solve number 1 please.

Answers

slope of f is 5
f(x) = 5x + 2
y= mx + b (linear equation)
m = slope b = y-int

slope of g is 2
Slope formula = change in y
——————
change in x
1. Pick two points
I choose (3,3) and (4,5)
(3,3) —-> (x1,y1)
(4,5) —-> (x2,y2)

y2 - y1 5 - 3
———- = ————- = 2
x2 - x1. 4 - 3

pls help me with this?

Answers

Answer:

C. 3

Step-by-step explanation:

A^2+B^2=C^2

A^2+4^2=5^2

A^2+16=25

A^2=9

A=3

Pick a blue marble , a green marble , and another blue marble from a bag of 2 blues, 4 reds , 4 greens what is the probability

Answers

i hope my answer help you

Step-by-step explanation:

the probability of pick a blue marble =2/10 ( simplest form =1/5)

the probability of pick a green marble =4/10

the probability of pick another blue marble =2/10 ( simplest form =1/5)

please help me if you can pleasee

Answers

Answer:

Slope for #17 is 3/2

Slope for #18 is -18

Step-by-step explanation:

Help please! I don’t have much time left to submit it

Answers

Answer:

5) x=39

Step-by-step explanation:

if you see the triangle it has  two equal sides which mean is an Isosceles Triangle    so if a triangle =180

we can say that   x+x+102=108 if we solve that we got x=39

PLEASE HELP ME WITH THIS MATH PROBLEM WILL GIVE POINTS The population of Old town is 50,000 and decreasing by 30 people per year. The population of New Town x years from now is given bye the function P(x) = 30000(1.1)^x, x greater than or equal to 0. which statement is true?

an explanation would be helpful too!!!

Answers

Answer:

C

Step-by-step explanation:

I took the test

Label ABC with the following information.
AB = 35
AC = 62
Find m/c.

Answers

Answer:

m<C = 34.4 °

Step-by-step explanation:

From the question given above, the following data were obtained:

Opposite = AB = 35

Hypothenus = AC = 62

Angle C =?

The value of m<C can be obtained by using sine ratio as illustrated below:

Sine C = Opposite /Hypothenus

Sine C = 35 / 62

Sine C = 0.5645

Take the inverse of sine

C = Sine¯¹ 0.5645

C = 34.4 °

Thus,

m<C = 34.4 °

What is the answer to this question?

Answers

first -10 then divide by 10

If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?

Answers

Answer: side length = 12

Explanation

let x be the original area

Thus x - 59 = 85

=> x = 85 + 59
x = 144

Since we know the original shape is a square and Area of a square = side x side.

Find side length:

A = a^2

But A = 144

144 = a^2
12 = a

So the side of the square b4 it was cut is 12 cm

GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES

Answers

Answer:

Statement 2: m∠ ELD = (2x)°

Reason 4: Sum of angles on a straight line is equal to 180°

Statement 6: 2x = 56

Step-by-step explanation:

Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°

In statement 4,it is written that;

m∠ ELD + m∠ ELG = 180°

The reason behind this is that;

Sum of angles on a straight line is equal to 180°.

For reason 6, we are told it is a subtraction property.

Now the preceding statement gave us;

2x + 124 = 180

Which means that for subtraction property here, we will have;

2x = 180 - 124

2x = 56

_x_=-0.75 The two rational numbers have to have what in common?

Answers

Answer:

-3:4 is The two rational numbers have to have in common.

What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?

Answers

.

Step-by-step explanation:

The correct answer is 78

Pls Answer Fast I will give u 5 Stars

Answers

Answer:

X is 90 degrees

Step-by-step explanation:

I dont know the second part

can someone help me out please. its due soon and i dont have alot of time

Answers

Answer:

heyy there sorry i wish i could help i think its the first one!!!

Step-by-step explanation:

¿Qué es 0.4 como porcentaje?

a) 400%
b) 4%
c) 0.4%
d) 40%​

Answers

the answer is D) 40% !!

Give a decimal approximation of your answer to the second question using 3.14 to approximate pie. Answer for the second question: 112n cm^3. Answer choices: A. 154.68cm^3, B. 252.68cm^3, C. 351.68cm^3, D. 421.68cm^3

Answers

Answer:

C.

Step-by-step explanation:

It's 112 * 3.14

= 351.68 cm^3.

What value(s) of x will make x2 = 36 true? O A. 8 and -8 O.B. 6 C. 6 and -6 D. 6​

Answers

Answer:

C and D

Step-by-step explanation:

If you mean x^2 (x squared), then C and D are both right.

what is 3/4/5-2/3/5...

Answers

Answer:

30

Step-by-step explanation:

The / is another symbol for multipation. Just multiply 3 with 4 and 5. Then multiple 2 and 3 and 5, then you subtract 3 times 4 times 5's answer by 2 times 3 times 5's answer. You will get 30 as the final answer

Answer:

In exact form the answer is 1/6 Or in decimal form it would be 1.2, in mixed number form it would be 1 and 1/5

I hope this helps you.

7 * 0.04 = 7 * 4 *
7 times 0.04 equal 7 times 4 times ?

Answers

Answer:

Solution

1 Cancel 77 on both sides

x\times 0.04=x\times 4xx×0.04=x×4x

2 Regroup terms

0.04x=x\times 4x0.04x=x×4x

3 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

​a

​​ x

​b

​​ =x

​a+b

​​

0.04x={x}^{2}\times 40.04x=x

​2

​​ ×4

4 Regroup terms

0.04x=4{x}^{2}0.04x=4x

​2

​​

5 Move all terms to one side

0.04x-4{x}^{2}=00.04x−4x

​2

​​ =0

6) Factor out the common term x

x(0.04-4x)=0

7 Solve for x

x=0,0.01

Done!

Step-by-step explanation:

A shop has an offer on jumpers as shown below.

Buy 4 jumpers and get 1 free!
Kara gets 6 jumpers.
After applying the offer, each one ends up costing £8.50 per jumper.
What is the regular cost of one jumper when not in this offer?


Answers

Answer:  

Step-by-step explanation:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.

Divide your time available by the time it takes to make one.                  

                                               21  

                                               4             = 420= 15 bracelets

                                               7                 28

                                              20

Answer:

10.20 regular cost

Step-by-step explanation:

8.50 x 6 = 51 total

51/5 = 10.20

Sarah would like to build a garden this year. Sarah measured out the outside of her proposed garden and would like to know how many square feet of space she will have to use. Calculate the area of her garden from the picture below.

Please show your work :)

Answers

Answer: 11ft

Step-by-step explanation:

Ratnam hired a car from a car renting agency which charges a flat amount of Rs x for travelling up to 40 kilometres and Rs. y per km for every kilometre travelled thereafter. How much should Ratnam pay the agency for a journey of 50 kilometres in Rs. ?

Answers

Answer:

Rs. X + Rs. 10y

Step-by-step explanation:

Charge for 40 km travel = Rs. x per km

Charge for every additional km traveled = Rs. y

Amount paid for 50 km

Fixed charge for 40km = Rs. X

Additional km = 50 - 40 = 10 kilometer

Total charge :

Rs. X + Rs. 10y

A car depreciates in value by 17% per year.
If it cost $23 000 when it was new, how much is it worth after 4 years?

Answers

Answer:

17%of 23000

17/100×23000

1 yrs depreciation is 3910

then

after 4 years depreciation is 4×3910

=15640

the worth of after 4 yrs is 23000-15640

=Rs 7360

help me answer question 8a and b, and I’ll give u 10 points lol

Answers

Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

Lin's father is paying for a $20 meal. He has a 30%-off coupon for the meal. After the discount, a 8% sales tax is applied.
What does Lin's father pay for the meal? Just type the number answer (without the dollar sign), and be prepared to explain or
show your reasoning.

Answers

Answer:

15.12

Step-by-step explanation:

Cost of meal = $20

Discount (coupon) = 30%

Amount of discount = 30% of $20

= 30/100 * 20

= 0.3 * 20

= $6

Amount paid after discount= initial cost of meal - discount

= $20 -$6

= $14

Sales tax =8%

Amount of sales tax = 8% of $14

= 8/100 * 14

= 0.08 * 14

= $1.12

Total amount paid = Amount paid after discount + Amount of sales tax

= $14 + $1.12

= 15.12

Please help will give Brainly

Answers

x³ = 1/49
x³ = 1/7²
∛(x³) = 1/∛7² = 1/7^(⅔) = 7^(-⅔)
x = 7^(-⅔)
The answer appears to be C, although there is an unexplained “⅔” below it.
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