someone please help me with these questions and show your work! i will mark brainliest

Answer:

x = 15

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

Note that side HG and side HI are congruent ( indicated by the little dashed line ) which means that their opposite angles are congruent ( ∠I and ∠G to be more specific. )

Angles in a triangle add up to equal 180°

Hence, 3x + 37 + 2 ( 4x - 11 ) = 180 ( note that the 2 in 2(4x - 11) came from angles I and G being congruent )

We now solve for x

3x + 37 + 2 ( 4x - 11 ) = 180

step 1 distribute the 2 to the 4x and -11

2 + 4x = 8x

-11 * 2 = -22

we now have 3x + 37 + 8x -22 = 180

step 2 combine like temrs

3x + 8x = 11x

37 - 22 = 15

we now have 11x + 15 = 180

step 3 subtract 15 from each side

15 - 15 cancels out

180 - 15 = 165

we now have 11x = 165

step 4 divide each side by 11

11x / 11 = x

165 / 11 = 15

we're left with x = 15

Our final step is to find the measures of ∠G, ∠H and ∠I

We can do this by simply replacing x with 15 in their given expression

∠H = 3x + 37

* substitute 15 with x *

3 ( 15 ) + 37

3 * 15 = 45

45 + 37 = 82

Hence, ∠H = 82

∠I = 4x - 11

* substitute x with 15 *

4(15) - 11

4 * 15 = 60

60 - 11 = 49

Hence, ∠I = 49

Like stated previously ∠G and ∠I are congruent

Hence, ∠G = 49

Answer:

∠H = 82

∠I = 49

∠G = 49

Step-by-step explanation:

Answer:

okkkkkkkkkkkkkkkkkkkkkkkkkkk

Answer:

[tex]\mathrm{d. \csc \theta =\frac{5}{3}}[/tex]

Step-by-step explanation:

In a right triangle only, the tangent of an angle is equal to its opposite side divided by its adjacent side. If [tex]\cot\theta =\frac{4}{3}[/tex] as given in the problem, then [tex]\tan \theta =\frac{3}{4}[/tex], because [tex]\tan \theta =\frac{1}{\cot \theta}[/tex]. Therefore, the opposite side of angle theta is 3 and its adjacent side is 4. Thus, the hypotenuse of the triangle must be [tex]h=\sqrt{4^2+3^2}=\sqrt{25}=5[/tex].

The sine of an angle in a right triangle is equal to its opposite side divided by its hypotenuse.

Therefore, [tex]\sin \theta =\frac{3}{5}[/tex] (o/h) and since [tex]\sin \theta =\frac{1}{\csc \theta}[/tex], we have:

[tex]\csc \theta=\frac{1}{\sin \theta}=\frac{1}{\frac{3}{5}}=\boxed{\frac{5}{3}}[/tex]

Answer:B

Step-by-step explanation:

Answer:

I think its 3.745

Step-by-step explanation:

multiple 1.75 by 2 makes 3.5

divide 3.5 by 100

multiply by seven

add 3.5

Answer:

(2,1)

Step-by-step explanation:

When we translate to the right, we are simply adding a value to the x axis value corresponding to the units of translation

We have the translation by 1 unit, so we are to add 1 to the value of the x-coordinate

Thus, we have this as ;

(-3 + 1, 1)

= (-2,1)

When we reflect a point (x,y) over the y-axis, its new coordinates become (-x,y)

Applying this to what we have above, the coordinate of the final point will be (2,1)

Answer:

Natural numbers , whole numbers, Integers

Answer: it should be 252 in.

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{2x + 12 = 40}[/tex]

[tex]\large\text{SUBTRACT 12 to BOTH SIDES}[/tex]

[tex]\large\textsf{2x + 12 - 12 = 40 - 12}[/tex]

[tex]\large\text{CANCEL out: \textsf{12 - 12} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{40 - 12} because that helps solve for \textsf{x}}[/tex]

[tex]\large\textsf{40 - 12 = \bf 28}[/tex]

[tex]\large\text{New EQUATION: \textsf{2x = 28}}[/tex]

[tex]\large\text{DIVIDE 2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{2x}{2}=\dfrac{28}{2}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\text{ because that gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{28}{2}}\large\text{ because gives you the value of x}[/tex]

[tex]\mathsf{x = \dfrac{28}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf \huge x = 14}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

y = 2x - 2 (Linear)

Here, x = number of days

y = Total payment

Ashley paid $2 each day and gives $2 to her brother.

y = 2x²

This quadratic relation represents the total payment 'y' is twice as much as the number of days times itself.

y = 2ˣ

Exponential function represents that the total payment is twice as much as the number of days times itself.

A function is a mathematical rule which can be assigned a value.

A function in mathematics is a rule that can be assigned a value. We shall now procced to find out which function can be classified as shown.

Learn more about fuctions: https://brainly.com/question/9813642

Answer: 21.6 m

Step-by-step explanation:

Given

A football field measures [tex]100\ m\times 72\ m[/tex]

If a football field similar in shape to a full size  has a length [tex]l=30\ m[/tex]

The ratio of the length of the original to the small field is the same

Assume the width of the small field is  w

[tex]\therefore \dfrac{100}{30}=\dfrac{72}{w}\\\\\Rightarrow w=30\times \dfrac{72}{100}\\\\\Rightarrow w=21.6\ m[/tex]  

Thus, the width of the field is 21.6 m

9514 1404 393

Answer:

  a = 7

Step-by-step explanation:

The Pythagorean theorem tells you the value of 'a' is ...

  a^2 = b^2 - c^2

  a^2 = 25^2 -24^2 = 625 -576 = 49

  a = √49 = 7

The length of side 'a' is 7 units.

Answer:

TRUE!!!!!!!!!!!!!!!!!! BRANLIST

Step-by-step explanation:

please see the photo down below it shows the work and answer

Answer:

5.8 is your answer mate

Step-by-step explanation:

hello

Answer:

0% chance

Step-by-step explanation:

if the cube is 1-6 then 6 is the highest number. there is non higher.

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

We have given that,

Researchers for a textile company carried out an experiment comparing the longevity of two new fabric blends.

An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried.

They carried out a series of usage tests, known as double rubs, on 100 pieces of each type of material.

To learn more about the experiment visit:

https://brainly.com/question/17274244

#SPJ2

Answer:

Fabric B is a more durable fabric because it has a higher double rub rating than fabric A.

The sales department can refer to fabric B as a medium-duty fabric.

Step-by-step explanation:

edmentum :)

Answer:

x3-6x2+32

Step-by-step explanation:

Answer:

B: 8

Step-by-step explanation:

The area of the two smaller squares equals the area of the big square so find the area to the big square

17 * 17 = 289

289 - 225 = 64

The square root of 64 is 8 so the answer is 8.

The solution is Option A

The equation of Charlene's age is 3x - 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let Charlene's age be C

The age of Mary is = x

Now , the equation is

Charlene's age is 4 less than 3 times Mary's age

Substituting the values in the equation , we get

C = 3 x ( Mary's age ) - 4

On simplifying the equation , we get

C = 3x - 4    be equation (1)

Therefore , the value of C is 3x - 4

Hence , the age of Charlene's age is 3x - 4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer

13ft

Step-by-step explanation:

4ft.+2ft.+5ft=2ft.=13ft

Answer:

For problem one:

a. 11

b. 3/11

c. 2/11

d. there are only 2 chips

e. 3/11

Answer:

140x+420

Step-by-step explanation:

7(x+3)20

=140x+420

Answer:

14x+420

Step-by-step explanation:

7(x+3)(20)

=140x+420

Answer:

36ft

Step-by-step explanation: