Find measure angle GJK (5x + 8) (7x - 16)

Find Measure Angle GJK (5x + 8) (7x - 16)

Answers

Answer 1

Hi there!

[tex]\large\boxed{22^o}[/tex]

Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.

Using the Alternate Interior Angle theorem:

m∠HJI = m∠JHG, so:

7x - 16 = 5x + 8

Solve for x:

2x - 16 = 8

2x = 24

x = 12

Substitute in this value of x to solve for m∠HJI:

7(12) - 16 = 84 - 16 = 68°

Thus:

m∠GJH = 90 - 68° = 22°


Related Questions

If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?If you borrow $4,000 for five years at an interest rate of 4.5%, how much will you pay back in total?

Answers

Answer:

you will pay back $4,984 in total and you will owe 984 in interest alone just in case you need that too.

Fill in the missing monomial (please answer fast a lot of points) 49y^4x^6=(___)^2

Answers

Answer:

[tex](7y^2x^3)^2[/tex]

Step-by-step explanation:

Find the GCF then factor out all the numbers

Please help. How do you find cosine, sine, cosecant and secant with this triangle? ​

Answers

Hi there! You have to remember these 6 basic Trigonometric Ratios which are:

sine (sin) = opposite/hypotenusecosine (cos) = adjacent/hypotenusetangent (tan) = opposite/adjacentcosecant (cosec/csc) = hypotenuse/oppositesecant (sec) = hypotenuse/adjacentcotangent (cot) = adjacent/oppositecosecant is the reciprocal of sinesecant is the reciprocal of cosinecotangent is the reciprocal of tangent

Back to the question. Assuming that the question asks you to find the cosine, sine, cosecant and secant of angle theta.

What we have now are:

Trigonometric RatioAdjacent = 12Opposite = 10

Looks like we are missing the hypotenuse. Do you remember the Pythagorean Theorem? Recall it!

a²+b² = c²

Define that c-term is the hypotenuse. a-term and b-term can be defined as adjacent or opposite

Since we know the value of adjacent and opposite, we can use the formula to find the hypotenuse.

10²+12² = c²100+144 = c²244 = c²

Thus, the hypotenuse is:

[tex] \large \boxed{c = 2 \sqrt{61} }[/tex]

Now that we know all lengths of the triangle, we can find the ratio. Recall Trigonometric Ratio above! Therefore, the answers are:

cosine (cosθ) = adjacent/hypotenuse = 12/(261) = 6/61 = (661) / 61sine (sinθ) = opposite/hypotenuse = 10/(261) = 5/61 = (561) / 61cosecant (cscθ) is reciprocal of sine (sinθ). Hence, cscθ = (261/10) = 61/5secant (secθ) is reciprocal of cosine (cosθ). Hence, secθ = (261)/12 = 61/6

Questions can be asked through comment.

Furthermore, we can use Trigonometric Identity to find the hypotenuse instead of Pythagorean Theorem.

Hope this helps, and Happy Learning! :)

what expression is equivalent to x^2-7x+12+(x-3)^2

Answers

Answer:

2x²−13x+21

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

can someone help me with these too please

Answers

Answer:

120 in³

Step-by-step explanation:

10 x 4 x 3 = 120

Basit played and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?

Answers

Answer:

Average score per game = 60,000 per game

Step-by-step explanation:

Given:

Points scored in first game = 25,000

Points scored in second game = 125,000

Points scored in third game = 30,000

Find:

Average score per game

Computation:

Average = Sum of observation / Number of observation

So,

Sum of all game = 25,000 + 125,000 + 30,000

Sum of all game = 180,000

Number of games = 3

Average score per game = 180,000 / 3

Average score per game = 60,000 per game

I really need some help please ​

Answers

Answer:

y - 1 = 3/2(x - 4)

Step-by-step explanation:

plug in the given(known) x and y coordinates into the point-slope form:

=> y - 1 = 3/2(x - 4)

A studio apartment has a floor that measures 120 feet by 60 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit : 6 feet. What are the dimensions of the scale drawing?

Answers

Answer: [tex]20\ \text{unit}\times 10\ \text{unit}[/tex]

Step-by-step explanation:

Given

A studio apartment has a floor that measures [tex]120\ ft \times 60\ ft[/tex]

Scale used is 1 unit:6 feet i.e 6 feet of actual floor is considered 1 unit in drawing

The dimension of scale drawing is [tex]\frac{1}{6}[/tex] of actual

Dimensions are

[tex]\Rightarrow \dfrac{120}{6}\times \dfrac{60}{6}\\\\\Rightarrow 20\ \text{unit}\times 10\ \text{unit}[/tex]

Which value is equivalent to √-25

Answers

The answer to this question is 5i

Mark as brainy ? :
The answer is 5 hope it helps

Someone please help me out!!!

Answers

Answer:

[tex] \sin(c) = \frac{ab}{ac} \\ \sin(c) = \frac{36}{45} \\ \sin(c) = \ \frac{4}{5} [/tex]

What is the solution of y= 4x + 6 when y= 18?

Answers

Answer:

18 = 4(3)+6

12 + 6

Step-by-step explanation:

the answer is 18 = 4(3)+6

because y is 18

Answer:

x=3

Step-by-step explanation:

[tex]18 = 4x + 6[/tex]

subtract 6 on both sides

[tex]12 = 4x[/tex]

divide both sides by 4

[tex]3 = x[/tex]

At the donut shop the cost for a dozen donut holes and a glass of milk is $3.50. The cost for three dozen donut holes and four glasses of milk is $11.80 which pair of equations can be used to determine D (the cost for donut holes) and M (the cost for the milk)

Answers

Answer:

Step-by-step explanation:

12 D + M = 3.50

3*12 D +4M = 11.80

the pair of equations are

12 D + M = 3.50

36 D +4M = 11.80

Answer:

I need points lol 2=yx thank you for letting me spam

graph it please????????????

Answers

I graphed it for you.


URGENTT!!!!!!!

A simple random sample of
150 San Antonio area policemen found that the average time these police officers had worked for the police department was 16
years with a standard deviation of 5 years. Ten years ago the average amount of time policemen stayed on the job was 15 years.

What is the test statistic And P value that the researchers will use for this significance test?

Answers

What is this about because I’m confuse

Find the area of the composite figure.

Answers

Answer:

Area of composite figure = 623.25 cm²

Step-by-step explanation:

Given:

Equal side of triangle = 39 cm

Diameter of semi-circle = 30 cm

Base of triangle = 30 cm

Find;

Area of composite figure

Computation:

Radius of triangle = 30 / 2

Radius of triangle = 15 cm

Height of triangle = √39² - 15²

Height of triangle = √1,521 - 225

Height of triangle = 36 cm

Area of composite figure = Area of semi-circle + Area of triangle

Area of composite figure = [πr² / 2] + [(1/2)(b)(h)]

Area of composite figure = [(3.14)(15)² / 2] + [(1/2)(15)(36)]

Area of composite figure = [(3.14)(225) / 2] + [(15)(18)]

Area of composite figure = [706.5 / 2] + [270]

Area of composite figure = 353.25 + 270

Area of composite figure = 623.25 cm²

7/2h-3(5h-1/2)
I ALSO NEED STEP BY STEP INSTRUCTIONS NO WEBSITES OR SCREENSHOTS TYSM

Answers

Answer:

the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.

Step-by-step explanation:

7/2h - 3(5h - 1/2)

3(5h - 1/2)

First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h +  1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :

7/2h - 15h + 3/2 or 7/2h - 15h + 3/2

Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.

7/2h - 15h

We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.

-23/2h

1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.

hey! please help i’ll give brainliest

Answers

Answer:

C

Step-by-step explanation:

"grow or develop in a healthy or vigorous way, especially as the result of a particularly favorable environment."

Answer:

C.

hope this helps

have a good day :)

Step-by-step explanation:

Ashley uses a mix of six base-ten blocks to model a 3 digit number. All 3 digits of the number are the same. What is the number?

Answers

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

A bank makes a profit of 20 million euro. The bank pays 500 thousand euro in tax. What percentage of the profit is paid in tax?

Answers

Answer:

2.5%

Step-by-step explanation:

Given data

Profit = Euro 20,000,000

Tax paid= Euro 500,000

The percentage tax paid is

% Tax= Tax paid/Profit*100

% Tax= 500,000/20,000,000*100

% Tax=0.025*100

% Tax=2.5

Hence the percentage tax paid is 2.5%

What is the product of V3 and 2V30 in simplest radical form?

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{3[/tex] *2[tex]\sqrt{30[/tex]

2[tex]\sqrt{30*3}[/tex]

2[tex]\sqrt{3*3*2*5}[/tex]

2*3[tex]\sqrt{2*5}[/tex]

6[tex]\sqrt{10}[/tex]

Solve for x. Round to the nearest tenth, if necessary.
K
X
J
69
400
I

Answers

Answer:

44.4

Step-by-step explanation:

sin(40)= x/69

x=69(sin40)

x= 44.4

hey! i’ll give brainliest please help

Answers

Answer:

D

hope this helps

have a good day :)

Step-by-step explanation:

Which of the following expressions is equal to squared +25? O A. (x+5012 O B. (x-50 O C. (x + 10 (x-151) O D. (X - 5)(x+51)​

Answers

Answer:

(x-5i)(x+5i)

Step-by-step explanation:

Given the expression

(x-5i)²

Expand

(x-5i)(x+5i)

= x² - 5ix + 5ix - 25i²

= x² - 25i²

Since i² = -1, hence;

(x-5i)(x+5i) = x² - 25(-1)

(x-5i)(x+5i) = x² + 25

Hence the required expression is (x-5i)(x+5i)

What is the area of quadrilateral

Answers

Answer:

area=1÷2×diagonal(H1+H2)

=1÷2×8(2+2)

=16m2

Answer:

16 m squared,

Step-by-step explanation:

Thre are two triangles. triangle area formula = 1/2 bh

plug in numbers but there's another rectangle so times 2

1/2 8*2 = 8*2=16

if correct, please mark brainliest if you feel like it:)

i need someone who could log into an acellus account and help solve 5 problems, they look something like this....( i will give 30 points)

Answers

Answer:

[tex]\huge\boxed{V=44cm^3}[/tex]

Step-by-step explanation:

(look at the picture)

The formula of a volume of a rectangular prism a × b × c:

[tex]V=abc[/tex]

We have two rectangular prisms.

[tex]1:\ 2cm\times2cm\times5cm\\2:\ 2cm\times2cm\times6cm[/tex]

Calculate the volume:

[tex]V_1=2\cdot2\cdot5=20(cm^3)\\\\V_2=2\cdot2\cdot6=24(cm^3)[/tex]

The volume of the irregular figure:

[tex]V_F=V_1+V_2\\\\V_F=20cm^3+24cm^3=44cm^3[/tex]

Adam wants to compare the fractions and He wants to order them from least to greatest and rewrite them so they all have the same denominator. Explain how Adam can rewrite the fractions.

Answers

Answer:

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

Step-by-step explanation:

Given

The fractions are:

[tex]\frac{3}{12},\ \frac{1}{6},\ \frac{1}{3}[/tex]

Required

How the fractions can be rewritten

The fractions can be rewritten by taking the LCM of the denominators.

The [tex]LCM[/tex] of [tex]12; 6\ and\ 3[/tex] is [tex]12[/tex]

So, we have:

[tex]\frac{3}{12},\ \frac{2*1}{12},\ \frac{4*1}{12}[/tex]

Simplify the numerators

[tex]\frac{3}{12},\ \frac{2}{12},\ \frac{4}{12}[/tex]

Now, the fractions can be ordered based on the numerators

[tex]\frac{2}{12},\ \frac{3}{12},\ \frac{4}{12}[/tex]

Return to original form

[tex]\frac{1}{6},\ \frac{3}{12},\ \frac{1}{3}[/tex]

Factor the following, I will give 5 stars and thanks.

Answers

Answer:

5) [tex]x=3,-1[/tex]

6) [tex]r=-6,-4[/tex]

7) [tex]p=2,3[/tex]

8) [tex]n=-4,8[/tex]

Step-by-step explanation:

5) [tex](x-3)(x+1)=0[/tex]

   [tex](3-3)(-1+1)=0[/tex] substitute x for a number that will make the statement true.

6) [tex](r+6)(r+4)=0[/tex]

   [tex](-6+6)(-4+4)=0[/tex] substitute r for a number that will make the statement true.

7) [tex](p-2)(p-3)=0[/tex]

   [tex](2-2)(3-3)=0[/tex]  substitute p for a number that will make the statement true.

8) [tex](n+4)(n-8)=0[/tex]

   [tex](-4+4)(8-8)=0[/tex] substitute n for a number that will make the statement true.

How many units is this value from zero on the number line?
-8
answers
A. 16
B. 8
C. 0
D. -8
pls help urgent

Answers

Answer:

answer is 8

Step-by-step explanation:

hope this helps

It is -8 because you go backwards

The hypotenuse of a right triangle is one inch longer than the longer leg. The shorter leg is seven inches shorter than the longer leg. Find the length of the hypotenuse.

Answers

Answer:

Length of hypotenuse is 13 unit or 5 unit

Step-by-step explanation:

Find;

Length of hypotenuse

Computation;

Assume;

Length of hypotenuse = h

Length of longer leg = h - 1

Length of shorter leg = h - 1 - 7

Using Pythagorean theorem

hypotenuse² = longer leg² + shorter leg²  

h² = (h - 1)² + (h - 1 - 7)²  

h² = (h - 1)² + (h - 8)²  

h² = h² - 2h + 1 + h² - 16h + 64  

h² = 2h² - 18h + 65

h² - 18h + 65 = 0

h² - 13h - 5h + 65 = 0

h(h - 13) -5(h - 13)

(h - 13)(h - 5)

So,

Length of hypotenuse is 13 unit or 5 unit

Find the surface area of the pyramid. The faces of the triangular pyramid are equilateral triangles 34.6 mm 40 mm 40 mm The surface area is?​

Answers

Answer:

would you still like me to help you with this problem?

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