7. Determine the measures of the two angles that are not 90° in the diagram below. Show your
work.

7. Determine The Measures Of The Two Angles That Are Not 90 In The Diagram Below. Show Yourwork.

Answers

Answer 1

First we need to assume that the sum of the angles is also 180°. if one is less than 90°, the other will be more. we can do this because in a plane 4-sided polygon the sum of the inner angles will always be 360°, and we already know the two angles on the right side

so we can say that:

3x + 20 + x = 180

Since we got only one variable in this equation, we can already solve for x.

4x + 20 = 180

4x = 160

x = 40

the lower left angle is just 40°

the upper left is three times that plus 20, so it's 160°

hope this helps you to get the method


Related Questions

1. A football goal post casts a shadow 120 inches long. You are 5 feet 6 inches tall and cast a shadow 16.5 inches long. Find the height of the goal post in feet. Round your answer to the nearest whole number.

Answers

Answer:

40 feets

Step-by-step explanation:

Given that :

Person's height = 5feet 6 inches ;

Person's height in inches ;

1 foot = 12 inches ;

5 feets = (12 * 5) = 60 inches

Person's height = 60 + 6 = 66 inches

Height of person's shadow = 16.5 inches

Height of post shadow = 120 inches

Height of goal post = x

(Height of goal post / height of post shadow) = (person's height / person's shadow)

x / 120 = 66 / 16.5

Cross multiply :

16.5x = 120 * 66

16.5x = 7920

x = 7920 / 16.5

x = 480 inches

To feets ;

1 foot = 12 inches

480 inches = 480/12 feets = 40 feets

What is the factor of
[tex] {x}^{4} - x[/tex]
Plz​

Answers

This is the answer I guess

Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due at the end of every months. Interest on the mortgage is 4% compounded semi-annually and the mortgage is renewable after five years. a) What is the size of each monthly payment? b) What is the outstanding principal at the end of the five-year term? c) What is the cost of the mortgage for the first five years?

Answers

Answer:

Size of each monthly payment = $161.69 per month

Step-by-step explanation:

Given:

Value of property = $20,000

Downpayment = 20%

Number of payment = 12 x 10 = 120

Interest rate = 4% = 4% / 12 = 0.33 %

Computation:

Loan balance = 20,000 - 20%

Loan balance = $16,000

A] Size of each monthly payment [In Excel]

Size of each monthly payment = PMT(0.33%,120,16000,0)

Size of each monthly payment = $161.69 per month

The point M(-6, -4) is translated 2 units right. What are the coordinates of the resulting point, M′?

Answers

Answer:

(-4, -4)

Step-by-step explanation:

On a 2D graph, moving to the right means going up the x axis, to the left means down the x axis, up means up the y axis, and down means down the y axis.

The point is translated 2 units to the right. This means that it is going up the x axis by two units. As it is going up, we can say that it is increasing. Therefore, on a coordinate (x,y), going up the x axis means we add to the x value. For the point (-6, -4), we add 2 to the x value, or -6, to get -6+2 = -4 as our new x value.

Our new end value is (-4, -4)

The width of a rectangle measures (2h-6) centimeters, and its length measures (7h+8) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answers

Answer:

18h +4

Step-by-step explanation:

The perimeter of a rectangle is given by

P = 2(l+w)  where l is the length and w is the width

  =2( 7h+8 + 2h-6)

Combine like terms

  = 2( 9h+2)

Distribute

   = 18h +4

A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet

Answers

Answer:

33π square feet

Step-by-step explanation:

Volume = base area × height

132π = base area × 4

or, base area = 132π/4

or, base area = 33π

Answered by GAUTHMATH

james cuts 2 of his neighbor's lawn the first is 1000 m long and 100 m wide what is the area

Answers

The formula for area is l(w). This stands for length and width, or long and wide in this problem. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000m.

Step-by-step explanation:

The formula for area is l x b. This stands for length and breadth. I can multiply 1000(100) to get 100,000m. The area of the lawn is 100,000 m.

HOPE IT HELPS YOU

MARK ME BRAINLIEST

What is the units digit of 7⁷?​

Answers

Answer:

[tex]7^{7}[/tex]  =  823543

the unit position (the first) is equal to "3"

Step-by-step explanation:

A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.

Answers

Answer:

number to get a better price

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer

Which of the following values are in the range of the function graphed below? Check all that apply​

Answers

Answer:

B, C, D

Step-by-step explanation:

In this problem, the range is what the output, or y, can be. The origin, or the middie of the graph, is when x=0 and y=0. From the 10s on the screen, we can gather that 5 lines = a distance of 10 on the graph. Using this information, we can say

5 lines = distance of 10

divide both sides by 5 to find the distance for each line

1 line = distance of 2

The function goes from y=0 to three lines down, for a distance of 6. The range is therefore [-6,0] as all values from -6 to 0 on the y axis are included on the graph, including 0 and -6. In this range, -6, -2, and -1 are all included.

What is the measure of

Answers

It’s A trust me I just did it

Find the length of the segment indicated. Round your answer to the nearest 10th of necessary.

Answers

Answer:

Step-by-step explanation:

Just using pythagorean theorem,

13.2²+16.9²=c²

174.24+285.61=c²

c²=√459.85

c= 21.4441134114

c = 21.4 (nearest tenth)

Which of the following is 1 2 over 4 in its simplest form?

Answers

Answer:

its 3

Step-by-step explanation:

3 is your answer I hope this help

Answer:

i don' know

Step-by-step explanation:

what is 20(y)+2(x) if y=2 and x=9


btw this is me

Answers

Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58

Answer:

58

Step-by-step explanation:

If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.

Rhonda walked diagonally across a rectangular playground with dimensions 60 m by 45 m. She started at point C. Determine the angle, to the
nearest degree, between her path and the longest side of the playground.
B
45m
D
60 m

Answers

Answer:

37degrees

Step-by-step explanation:

In order to get the required angle, we will use the SOH, CAH, TOA identity.

Let;

Adjacent = 60m

Opposite = 45m

According to TOA:

tan theta = opp/adj

tan theta = 45/60

tan theta = 0.75

theta = arctan 0.75

theta =  36.86

Hence the  angle, to the  nearest degree, between her path and the longest side of the playground is 37degrees

6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5​

Answers

Answer:

b

Step-by-step explanation:

i had it

Hi~! can someone help me with this~?

It costs 3 bowls and a jug 13.70, the jug costs $4.10 more that the bowl, how much does the jug cost-?

Thank u~!

Answers

Answer:

$6.50

Step-by-step explanation:

Let the cost of a bowl and a jug be $b and $j respectively.

3b +j= 13.70 -----(1)

j= b +4.10 -----(2)

Substitute (2) into (1):

3b +b +4.10= 13.70

4b +4.10= 13.70 (simplify)

4b= 13.70 -4.10 (-4.10 on both sides)

4b= 9.60

b= 9.60 ÷4 (÷4 on both sides)

b= 2.40

Substitute b= 2.40 into (2):

j= 2.40 +4.10

j= 6.50

Thus, the jug costs $6.50.

Need help ASAPPPPPPP

Answers

Answer:

A) 5

Step-by-step explanation:

51+48+15x+6=180

105+15x=180

15x=75

x=5

which kind of triangle is shown?
A. Acute isosceles
B. Right scalene
C. Right isosceles
D. Acute scalene

Answers

Answer: B

Step-by-step explanation:

Acute isosceles: angle less than 90, 2 equal sides

Right scalene: right angle, different side lengths

RIght isosceles: right angle, 2 equal sides

Acute scalene: angle less than 90, different side lengths


Sine and cosine ratios! help!!

Answers

The answer is b the second one is the correct answer


What is the greatest common factor of 15n^5, 30n^3, and 45n^2

Answers

Answer:

15n^2 as it the highest expression that is common among these three.

The greatest common factor is 15.

Please help me anyone

Answers

Answer:

Quelles caractéristiques ces mots ont-ils en commun ? Cliquez sur tout ce qui s'applique.

[tex]\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right][/tex]

Step-by-step explanation:

A boat covers a certain distance downstream in 3 hrs and the same distance upstream in 5 hrs. If the speed of the boat in still water is 8km/hour, find the speed of the stream.


help me please I am struggling to solve this question​

Answers

Answer:

The stream's speed is 2 km/hr. We don't need to know the distance.

Step-by-step explanation:

Let the stream's speed = x

rate * time = d

The distance is the same going upstream as it is coming back down stream.

d_upstream = d_downsteam

(8 + stream)*3 = (8 - stream)*5

(8 + x)*3 = (8 - x)*5                    Remove the brackets

24 + 3x = 40 - 5x                      Subtract 24 from both sides.

3x = 40 - 24 - 5x

3x = 16 - 5x                               Add 5x to both sides

3x + 5x = 16

8x = 16                                      Divide by 8

x = 16/8

x = 2

√4x+9 = 1-√2 giải phương trình

Answers

Step-by-step explanation:

here's the answer to your question

Answer:

x = -4.7

Step-by-step explanation:

√4x+9 = 1-√2

2x + 9 = 1 - √2

2x = -8 - √2

2x / 2 =  -8 - √2 / 2

x = -4.7

I NEEEDDDD HELPPPP ASAPPPP ITS URGENTTTT!!!

Answers

Answer:

(x-13)^2+(y+16)^2=12.56

Step-by-step explanation:

find the missing side​

Answers

Answer:

28.3

Step-by-step explanation:

tan = opposite/adjacent

tan (58) = 1,600335

opposite = tan * adjacent  

opposite = 1,600335 * 15 = 24,005018

For the Pytagorean theorem

x = √24,005018^2 + 15^2 = 28,306199 = 28.3

Write an inequality, in slope-intercept form, for the graph below. If necessary,
use "<=" for < or ">" for >.

Can anyone pls help ?

Answers

Given:

The graph of a linear inequality.

The boundary line passes through the points (0,-2) and (1,1), and the shaded region lies above the boundary line.

To find:

The inequality for the given graph.

Solution:

The boundary line passes through the points (0,-2) and (1,1), so the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-(-2)=\dfrac{1-(-2)}{1-0}(x-0)[/tex]

[tex]y+2=\dfrac{1+2}{1}(x)[/tex]

[tex]y+2=3x[/tex]

Subtract 2 from both sides.

[tex]y=3x-2[/tex]

The boundary line is a solid line and the shaded area lies above the boundary line, so the sign of inequality must be [tex]\geq [/tex].

[tex]y\geq 3x-2[/tex]

Therefore, the required inequality is [tex]y\geq 3x-2[/tex].

Answer:

y>3x-2

Step-by-step explanation:

.............................

Ed takes five 100-point tests in his algebra class. He scores 87, 85 and 87 points on the first three tests. If the scores of his last two tests differ by three points and he has a 90% average on his five tests, what was his highest test score?
PLS ANSWER QUICK WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

When we take an average of something, we have to add up all the data on the somethings and then divide by the number of somethings we have. Ed takes 5 tests, and we have scores for them; we also have his current average. What we don't know for sure are 2 of the 5 test scores, but we have enough to determine what they are.

If one test has a score of x, and the other test is 3 points less than that, the score on that last test is x - 3. Putting all of that together into an average problem:

[tex]\frac{87+85+87+x+(x-3)}{5}=90[/tex] and simplfiying a bit:

[tex]\frac{256+2x}{5}=90[/tex]. Multiply both sides by 5 to get

256 + 2x = 450; subtract 256 from both sides to get

2x = 194 and divide by 2:

x = 97

The one test score was a 97 and the other one, which was 3 less than that, was a 94.

write an equation for a line parallel to: y = -3x + 2.

Answers

Answer:

y = 1/3x + 2

Step-by-step explanation:

please help i've been stuck on this for a while

Answers

Answer:

SSS Postulate

Step-by-step explanation:

The first says 2 sides are the same

The second says 2 sides are the same

The last says 2 sides are the same

Side side side

SSS Postulate

Other Questions
Hey can anyone help me with this question A large container is partially filled with n liters of water. Ito adds 10 liters of water to the container, making it 60% full. If Ignacio adds 6 more liters of water, the container will be 75% full.What is the value of n? True or false? Shooting a vicious animal is permitted in self-defense. What is the answer please help Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct? Can a Pythagorean triple be created using multiples of a known Pythagorean triple.Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number.Yes, as long as each number in the Pythagorean triple is multiplied by a different whole number.No, Pythagorean triples only exist with small numbers.No, multiplying a known Pythagorean triple by a whole number will not create a Pythagorean triple. Generally, local governments get the least amount of funding from:A. property taxB. income tax C. sales taxD. state government Phn tch cc quy lut hot ng thn kinh cp cao tr v vn dng trong thit lp thi quen hc tp v k lut hc sinh tiu hc. ____________ is an example of negative acceleration, a. A coin thrown vertically upwards b.A train starting from the station c. A coin falls freely towards the earth d. An object is speeding up.plz plz plz plz plz plz plz plz plz plz answer of state board Put the following steps of Meiosis in the correct order:I. The cell divides into 2 daughter cellsII. Homologous chromosomes pair up in the center of the cellIII. Spindle fibers separate homologous chromosomesIV. Chromosomes become shorter and thickerA. I, II, III, IVB. IV, III, II, IC. II, III, I, IVD. IV, II, III, I URGENT PLS HELP. pls but why or why not thank you:)) Given the distance between (x,1) and (-2,5) is 2 root 7, find the the value of x. Leave your answer in simplified exact form Answer the following (a) find an angle between 0 and 2 that is coterminal with 27/10 (b) find an angle between 0 and 360 That is conterminous with 775 assume abc=def. if ab=5, ac=9 and ef=7, what is the length of bc? If fixed costs are $1,464,000, the unit selling price is $220, and the unit variable costs are $114, what are the break-even sales (units) if fixed costs are increased by $46,400? a.11,399 units b.21,374 units c.17,099 units d.14,249 units What effect does asking rhetorical questions like this one have on an audience? Check all that apply. mi quan h gia qu trnh ni lc v ngoi lc which of the following expresses the possible number of positive real solutions for the polynomial equation shown below 5x^3 + x^2 +7x - 28 = 0 A. TwoB. Three or oneC. OneD. Two or zero By interpreting the experimental finding____ can be drawn. Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population? A. 60% B. 70% C. 80% D. 90% Friends please give ,e the answer i have exam at 12.00 with workings .