Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answer:

Step-by-step explanation:

No choices are listed.

But -60 divided by 5 is -12

Answer:

The length would be l=3.46

Step-by-step explanation:

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Answer:

2; 5; 8

Step-by-step explanation:

To fill in the table, we need to generate an equation to represent the relationship between x and y.

First, find the slope using the two pairs given, (5, -1) and (25, 11):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]

m = ⅗.

Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.

[tex] y - y_1 = m(x - x_1) [/tex]

Where,

[tex] x_1 = 5, y_1 = -1 [/tex]

m = ⅗.

Plug in the values

[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]

[tex] y + 1 = \frac{3x}{5} - 3 [/tex]

Subtract 1 from both sides

[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]

[tex] y = \frac{3x}{5} - 4 [/tex]

Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.

✔️When x = 10:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]

[tex] y = 2 [/tex]

✔️When x = 15:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]

[tex] y = 5 [/tex]

✔️When x = 20:

[tex] y = \frac{3x}{5} - 4 [/tex]

[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]

[tex] y = 8 [/tex]

Answer:

2,5,8

Step-by-step explanation:

Answer:

The awnser is D

Step-by-step explanation:

Edge 2020!

The loan option that has a 30 year period with the maximum down

payment the Williams can afford as well as a low rate is recommended.

Response:

The given information are:

The amount at which the Williams are buying the house = $323,000

Percentage of down payment he can afford = 10%

Required:

The loan with the lowest monthly payment.

Solution:

The lowest fixed monthly payment is given by the loans that have the

longest period in which to pay back the loan, which includes the options;

b. 30 year FHA, 3.5% down at a fixed rate of 6.25%

c. 30 year fixed, 20% down at a fixed rate of 5.75%

d. 30 year fixed, 10% down at a fixed rate of 6%

Given that the Williams can afford a 10% down payment, option b. and

option c are the possible options.

The interest rate for option b is higher and option b has a lower down

payment than the interest rate and down payment for option c.

Therefore;

The option that has the overall lowest monthly payment is option d.

Learn more about monthly payment for a loan here:

https://brainly.com/question/2371137

Answer:

-0.391 < x < 0.391

Step-by-step explanation:

The Maclaurin series for cosine is:

cos(x) = ∑ (-1)ⁿ x²ⁿ / (2n)!

So the next term would be -x⁶/6!.  When the absolute value of this is less than the error:

│-x⁶/6!│< 0.000005

x⁶ / 720 < 0.000005

x⁶ < 0.0036

-0.391 < x < 0.391

Answer:

25 miles

pls tell if I'm wrong

Two needed formulas,:

To find the area of a parallelogram, use

A = bh.

To find the area of a semicircle, use

Area = (πr^2)/2.

The area of the parallelogram is 11 x 32 or 352.

The two semicircle have the same measure.

The radius of the semicircle is (1/2)(16) or 8.

Area = (π8^2)/2

Area = 64π ÷ 2

A = 32π

There are two semicircle.

So, the area of both semicircle combined is

2(32π) or 64π.

Area of figure = 64π + 352.

Area of figure = 553.0619298304

We now round to the nearest tenths to get

Area of the figure = 553.06.

Answer:

8.4 hours

Step-by-step explanation:

Given that:

Speed of asteroid = 55000 miles/hr

Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles

We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.

Formula for speed can be given as following:

[tex]Speed = \dfrac{Distance}{Time}[/tex]

OR, the formula for time in terms of speed and distance can be given as following:

[tex]Time= \dfrac{Distance}{Speed}[/tex]

Putting the given values in the formula to find the Time:

[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]

Answer:

1 750 g

Step-by-step explanation:

hhhahahahahahahaha

Step-by-step explanation:

[tex]\sf{ 2 |{\underline{84,102,100}}}[/tex]

[tex]\sf{ 2|{\underline{42,51,50}}}[/tex]

[tex]\sf {3|{\underline{21,17,25}}}[/tex]

[tex]\sf {5|{\underline{7,17,25}}}[/tex]

[tex]\sf {\:\:{7,17,5}}[/tex]

Answer:

B

Step-by-step explanation:

First, let's rearrange the given equation into something more recognizable. If we add 13 to both sides, we now have the polynomial [tex]x^{2}-10x+13[/tex]. We can now use the quadratic formula to solve.

Remember that the quadratic formula is

[tex]\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}[/tex]

Substitute the numbers from the equation into the formula.

[tex]\frac{-(-10)+/-\sqrt{(-10)^{2}-4(1)(13) } }{2(1)}[/tex]

Simplify:

[tex]\frac{10+/-\sqrt{100-52} }{2}[/tex]

[tex]\frac{10+/-\sqrt{48} }{2}[/tex]

Here, I'm going to assume that there was a mistype in option B because if we divide out the 2 we end up with [tex]5+/-\sqrt{48}[/tex].

Hope this helps!

9514 1404 393

Answer:

  101 feet

Step-by-step explanation:

Multiply the number of boards by the length of the boards, and add the products.

  2(12 3/4) +4(13 5/8) +2(10 1/2) = 25 1/2 +54 1/2 +21 = 101

The total length of the boards is 101 feet.

Answer: y = -1x + 3

Step-by-step explanation:

it's going through the y intercept ( 3 )

and down ( negative by 1 )

you can also write the answer as y = -x + 3

either one, its the same.

Answer:

10 meters per sec

Step-by-step explanation:

Answer:

10 meters per seconds.

Step-by-step explanation:

Answer:

65.75

Step-by-step explanation:

All you do is divide.

Answer:

65.75

Step-by-step explanation:

Please give me Brainlest!

Answer:

12 hours

Step-by-step explanation:

Answer:

12 hours

Step-by-step explanation:

Answer:

x + 12 + 16 = 100

72 fishes

Step-by-step explanation:

Given parameters:

Number of days fished  = 3days

Number of fishes caught = 100 fishes

Number of fish caught on day 2 = 12fishes

Number of fish caught on day 3  = 16fishes

Unknown:

Number of fish caught on the first day = ?

Solution:

Let the number of fishes caught on the first day  = x;

Total number of fishes caught  = No of fish on day 1 + No of fish on day 2 + number of fish on day 3

Insert the parameters and solve;

    100  = x + 12 + 16

     x  = 100 - 28  = 72fishes

Answer:

2 unit cubes of 7 units side length can fill the volume of the solid without overlap

Step-by-step explanation:

Volume of a cube is L^3

Let the number of cubes be n

Since the cubes are similar,

then;

nL^3 = 686

nL^3 = 343 * 2

By inspection

L^3 = 343 (since it is a perfect cube and the cube root is 7)

n = 2

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

By writing and solving a system of equations, we will see that the owner must use 6 lb of the chocolate candies and 9 lb of the sugar candies.

Let's define two variables:

Then, using the given information, we will have that:

x + y = 15

x*$7.00 + y*$2.00 = $5.00*15

If we isolate x in the first equation we get:

x = 15 - y

Now we can replace that in the second equation to get:

(15 - y)*$7.00 + y*$2.00 = $75

$105 - y*$5.00 = $75

$105 - $75  = y*$5.00

$30 = y*$5.00

$30/$5 = y = 6

So the owner must use 6 pounds of the chocolate candies, and the other 9 pounds of the sugar candies.

If you want to learn more, you can read:

https://brainly.com/question/12895249

Answer:

y = 3/4x + 6

Step-by-step explanation:

Answer:

1. Expression: y = 235x

Answer: 1,175

2. The cost of the shirts is 5 dollars. Alex has 15 dollars in his wallet. He wants to buy 3 shirts. Write an expression that represents this problem.

Step-by-step explanation:

5. 235 per second

5 x 235 = 1,175

Expression: y = 235x

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x)  = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

      Volume  = L x W x H

Insert the parameters and solve;

      Volume  = (5x + 1)(2x - 8)(x + 5)

     Volume  = (10x² - 40x + 2x - 8)(x + 5)

     Volume = (10x² - 38x - 8 )(x + 5)

     Volume  = 10x³ - 38x² - 8x + 50x² - 190x - 40

     Volume  = 10x³ -38x² + 50x² - 8x - 190x - 40

    Volume  = 10x³ + 12x² - 198x - 40

Answer:

[tex]T_{2} = 200[/tex]

Step-by-step explanation:

Given

Geometry Progression

[tex]T_1 = 500[/tex]

[tex]T_4 = 32[/tex]

Required

Calculate the second term

First, we need to write out the formula to calculate the nth term of a GP

[tex]T_n = ar^{n-1}[/tex]

For first term: Tn = 500 and n = 1

[tex]500 = ar^{1-1}[/tex]

[tex]500 = ar^{0}[/tex]

[tex]500 = a[/tex]

[tex]a = 500[/tex]

For fought term: Tn = 32 and n = 4

[tex]32 = ar^{4-1}[/tex]

[tex]32 = ar^3[/tex]

Substitute 500 for a

[tex]32 = 500 * r^3[/tex]

Make r^3 the subject

[tex]r^3 = \frac{32}{500}[/tex]

[tex]r^3 = 0.064[/tex]

Take cube roots

[tex]\sqrt[3]{r^3} = \sqrt[3]{0.064}[/tex]

[tex]r = \sqrt[3]{0.064}[/tex]

[tex]r = 0.4[/tex]

Using:  [tex]T_n = ar^{n-1}[/tex]

[tex]n = 2[/tex]     [tex]r = 0.4[/tex]     and [tex]a = 500[/tex]

[tex]T_{2} = 500 * 0.4^{2-1}[/tex]

[tex]T_{2} = 500 * 0.4^1[/tex]

[tex]T_{2} = 500 * 0.4[/tex]

[tex]T_{2} = 200[/tex]

Hence, the second term is 200

Answer:

x=1

You solve for x by cross multyplying

Answer:

5?

Step-by-step explanation:

Answer:

$4942

Step-by-step explanation:

a.A day accommodation=$706

7 days accommodation=$706x7days

Answer=$4942

b