algebra 1, help please

Answer:

#1) x=38

#2) x=12

Step-by-step explanation:

For (1)

Since its a triangle we know that all 3 interior angles added up is gonna eqaul 180 degrees. So we already have 2 angles which are 21 and 17. You add those up and you’d get 38. Now since the final angles is unknown we can just make a simple equation of 38+x=180 since we know 2 angles and we need 1 more and a triangle is 180 degrees alli ddded up together. You’d get 142 for that angle. X is adjacent to that angle and they form a straight line so it also has to be 180. We got 1 side and so we subtract 180-142= 38. X will be 38.

For (2)

Since its 2 parallel lines cut by a transversal and we have two same side interior angles we know its gonna be supplementary Which means that both those angles added up will be 180. Now we have the two different angles so we add them up and solve for x. (10x+17)+(3x+7)= 180. Commbine like terms which will turn out to be 13x+24=180. Subtract 24 on both sides. 13x= 156. Solve for x by diving 13 on both sides which will lead to x= 12

Answer:

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

Step-by-step explanation:

The correct options are given below,

Supplementary: AKB and BKG

Complementary: FGE and EGD

Vertical: IJH and KJG

Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines.

A figure called an angle is one in which two rays originate from the same point. In this area, you could also encounter contrasting and related viewpoints.

Given that there are different lines crossing each other at different angles. The value of the different angles can be named as,

A pair of supplementary angles: AKB and BKG

A pair of complementary angles: FGE and EGD

A pair of vertical angles:  IJH and KJG

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Answer:

y = 2x - 6

Step-by-step explanation:

14-6/10-6 = 8/4 = 2 = slope

6 = 2(6) + b

6 = 12 + b

b = -6

Answer:

Step-by-step explanation:

Triangles EFG and FGH are similar.

x/15 = 36/39

x/15 = 12/13

x = 15*12/13 = 180/13 ≈ 13.8 units

The required measure of x is given as 5.8 in the given triangle.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°.

Similar triangles are triangle that has a relationship as of some scale factor.

here,
From the figure,
From triangle GHF and triangle EGF
x / 15 = 15 / 39
x = 225 / 39
x = 5.8

Thus, the required measure of x is given as 5.8 in the given triangle.

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Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5

Answer:

0.25

Step-by-step explanation:

In the 52-card pack, 13 cards are diamond cards.  Thus, the probability of drawing a diamond card is 13/52, or 0.25.

Answer:

0.62

Step-by-step explanation:

4.99/8=0.62

Answer:

[tex]7\%[/tex]

Step-by-step explanation:

Initial temperature = 85 degrees Fahrenheit

Final temperature = 79 degrees Fahrenheit

Percentage change in temperature is given by

[tex]\dfrac{|\text{Final temperature}-\text{Initial temperature}|}{\text{Initial temperature}}\times 100\%\\ =\dfrac{|79-85|}{85}\times 100\%\\ =7.05\approx 7\%[/tex]

The change in the high temperature from Saturday to Sunday is [tex]7\%[/tex].

Answer:

what’s the question

Step-by-step explanation:

1. Opposite Sides Theorem Converse: If both pairs of opposite sides of a quadrilateral are congruent, then the figure is a parallelogram. 2. Opposite Angles Theorem Converse: If both pairs of opposite angles of a quadrilateral are congruent, then the figure is a parallelogram.

Answer:

n = 2

Step-by-step explanation:

sin 30° = ½

tan 45° = 1

then

sin 30° : tan 45° = 1 : n

½ : 1 = 1 : n

n = 2

The value of n for the trigonometric expression will be n = 2

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that the ratio sin 30°: tan 45º can be written in form 1: n. The value of n will be calculated as:-

sin 30° = ½

tan 45° = 1

Then,

sin 30° : tan 45° = 1 : n

½ : 1 = 1 : n

n = 2

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Answer:

x=21

Step-by-step explanation:

for number 5 i think thats the awnser

Answer:

a) 412.5g

b)23m²

Step-by-step explanation:

a)18m²=675g

11m²=x

by cross multiplication,

18x=11×675

18x=7425

x=7425/18

x=412.5g

b)18m²=675g

y=862.5g

18×862.5=675y

15525=675y

15525/675=y

y=23m²

Answer:

Step-by-step explanation:

This is a rate problem so using ratios is a good way to calculate the answer for different areas or amounts

     675 g per 18 m²       675/18     g/m²

a)  How many grams for 11m²

     675/18  g/m²   =   ??? / 11 m²            i cross multiply 675 times 11 divide by 18

                                                         or more simply multiply both side by 11

                                                         solving for the ???

            (675)(11) g m² / 18 m²  =  ??? g    =  412.5 grams    ( the m²/m² cancel)

b)  what area can be fertilised with 862.5 g?         again applying ratio

      this time we know the g and want to calculate an unknown area

      675 / 18  = 862.5  / ???        this will take one more step since the ??? is

                                                    in the denominator

      18 / 675  =  ??? / 862.5       I just inverted both sides

      18m² / 675g = ??? / 862.5g      again simply multiply both sides by 862.5g

     (18m²)(862.5g) / (675g) = ???          this time the grams cancel leaving m²

                                 ???   =   23 m²

Given:

Greeting card cost before tax = $4

Discount = 15%

Sales tax = 5%

To find:

How much will the customer pay for the card?

Solution:

It is given that the cost of the greeting card before tax is $4.

After 15% discount, the cost of the greeting card is:

Cost of card after discount [tex]=4-\dfrac{15}{100}\times {4}[/tex]

                                             [tex]=4-0.6[/tex]

                                             [tex]=3.4[/tex]

The cost of card after 5% sales tax is:

Cost of card after tax [tex]=3.4+\dfrac{5}{100}\times 3.4[/tex]

                                    [tex]=3.4+0.17[/tex]

                                    [tex]=3.57[/tex]

Therefore, the customer will pay $3.57 for the greeting card.

Answer:p=12

Step-by-step explanation:

(9p)+(p+21)+(p+27)=180

9*12=108

12+21=33

12+27=39

108+33+39=180

so p=12

Answer:

a. 3 5/6

b. 5 1/7

Step-by-step explanation:

Answer:

5.83333333333
5.14285714286

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given possible roots have the form that we'd get by using the quadratic formula, so let's start with that.  Here the coefficients are {2, -6, 3}, and so the discriminant (b^2 - 4ac) is (-6)^2 - 4(2)(3), or 36 - 24 = 12.

Because the discriminant is positive we know immediately that there are two different real roots.

      -(-6) ± √12         6 ± √12

x = ------------------ = ----------------     These are equivalent to Answers E and F.

            2(2)                    4

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

7m - 3m - 6 < 6

4m - 6 - 6 < 0

4m - 12 < 0

4m < 12

m < 12 ÷ 4

m < 3

Answer:

 C. Pages Read in an Hour: 10, 14, 16, 16, 18, 19, 21, 25

Step-by-step explanation: Got it on my study island question.

Answer:

uhm. picture?

Step-by-step explanation:

Answer:

u didnt add it

Step-by-step explanation:

Answer:

y = -35

Step-by-step explanation:

y=7 * -5

7 *-5 = -35

y = -35

Answer:

1st most = 8.43 inches

2nd most = 5,426 Seconds

3rd most = 1580 meters

4th most = 1500 grams

Step-by-step explanation:

8.43 inches = 0.7025 feet is most precise as it rounded to 0.7 feet it wouldn't be precise enough.

5,426 Seconds =  01:30:26. hrs mins sec can be converted.

1580 meters = 1.58 km = 158000cm  hasn't been properly converted as zeros get lost.

1500 grams = 1.5kg hasn't been precisely converted as zeros get lost.

Answer: B

The diameter is 3, so you have to divide by 2 to get the raduis. After that just plug in the height and radius and that's your answer!

Hope this helped you!

Answer:

yeah i dont know i want my points xd 494 4944

Step-by-step explanation:

Answer:

percent will be

which the answer will be

Step-by-step explanation:

hope it helps

Answer:

Lateral surface area = 280 square inches

Step-by-step explanation:

Lateral surface area of a prism = (Perimeter of the base) × height of the prism

Perimeter of the base = 8 + 15 + 17

                                     = 40"

Height of the prism = 7"

Therefore, Lateral surface area of the prism = 40 × 7

                                                                         = 280 square inches

Answer:

C

Step-by-step explanation:

-7 + 3 = -4

x  > -4

   =

Answer:

She supposedly multiplies 4*4*16*-3y but distributes it correctly as if she put (16*4)+(4*-3y) which equals 64-12y.

The work shown is a mistake, the answer of y=5 isn't.

Answer:

$75

Step-by-step explanation:

Nicole makes $75 in 12 hours.

I hope this helped, if you have any other questions you may ask me.