Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.

Answer:

A

Step-by-step explanation:

Solving for 1995, which is 5 years after 1990, so plug in 5 as t.

n= 1.76(5)² - 13.32(5) + 41

n= 44 - 66.6 + 41

n= 18.4

n≈ 18 days

Answer:

x=5

Step-by-step explanation:

-3x+7=-8

Bring 7 to the other side, it becomes negative

-3x=-8-7

Signs are same on rhs so u add

-3x = -8+-7= -15

Bring -3 to the other side n divide

therefore,

x=-15/-3

= +5 (two negatives become positive)

Hope it helps!

Answer:

x = 5

Step-by-step explanation:

→Subtract 7 from both sides:

-3x + 7 = -8

-3x = -15

→Divide both sides by -3:

x = 5

Answer:It should be 16.5 or 16 1/2.

Step-by-step explanation:

22•3/4

Answer:

9

Step-by-step explanation:

4x- 7

Let x=4

4*4 - 7

16 -7

9

Answer:

9

Step-by-step explanation:

4(4)-7=16-7=9

Answer:

The correct choice is A

Step-by-step explanation:

the definition of inverse is the opposite of something or different in direction so that would mean they want you to switch what they gave you so that would mean the answer is choice A

Answer:

Just took it!

Step-by-step explanation:

The requried properties used: the elimination method, multiplication property of equality, subtraction property of equality, substitution property of equality, and addition property of equality.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

To justify the steps taken to solve the system {3x−2y=10, 4x−3y=14}, we need to identify the properties used. Here are the properties that justify each step:

Step 1: We can use the elimination method to solve this system. To eliminate the variable y, we can multiply the first equation by 3 and the second equation by 2 :
{9x - 6y = 30, 8x - 6y = 28}

Step 2: We can subtract the second equation from the first equation to eliminate y:
{9x - 8x = 2}
{x = 2}

Step 3: We can substitute x = 2 into one of the original equations to solve for y. Let's use the first equation:
{3(2) - 2y = 10}

Step 4: We can simplify and solve for y:
{6 - 2y = 10}
{-2y = 4}
{y = -2}

Therefore, the solution to the system is (x, y) = (2, -2).

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Answer:

[tex]a=3[/tex] and the x-intercept of the inverse function is [tex]x=-2[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=\frac{x}{3}-2[/tex]

[tex]f^{-1}(x)=a(x+2)[/tex]

To find: slope, a, of the inverse function and the x-intercept of the inverse function

Solution:

Let [tex]y=f(x)=\frac{x}{3}-2[/tex]

[tex]y=\frac{x}{3} -2\\\frac{x}{3}=y+2\\x=3(y+2)\\[/tex]

So, [tex]f^{-1}(x)=3(x+2)[/tex]

On comparing [tex]f^{-1}(x)=a(x+2)[/tex] with [tex]f^{-1}(x)=3(x+2)[/tex], [tex]a=3[/tex]

To find the x-intercept of the inverse function, put [tex]f^{-1}(x)=0\Rightarrow 3(x+2)=0\Rightarrow x=-2[/tex]

The slope, a, of the inverse function is  3 , and the x-intercept of the inverse function is at x =  -2 .

Answer:

r = 2

Step-by-step explanation:

Calculate slope m using the slope formula and equate to [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 11, r) and (x₂, y₂ ) = (- 7, 5)

m = [tex]\frac{5-r}{-7+11}[/tex] = [tex]\frac{5-r}{4}[/tex] = [tex]\frac{3}{4}[/tex] ( multiply both sides by 4 to clear the fractions )

5 - r = 3 ( subtract 5 from both sides )

- r = - 2 ( multiply both sides by - 1 )

r = 2

Answer:

6. The relationship is they multiply the first box of glasses by the amount of boxes 15glasses = x 3,

30 glasses = x6

45 glasses = x 9

60 glasses = x 12

75 glasses = x15

= 30, 45, 60,75

But in between glass amount 45 +60 they show a midpoint amount of glasses in a box where 45 = 9n  then 55 = 11n and stands out as  11 boxes as an offset amount of glasses where 5 are in each box.

7. Robert is incorrect as 25 x 5 = 125 and not 120

as 120 and 125 glasses can be divided to check

125/25  = 5 and could be correct if he wanted spare glasses = 1 spare box.

But when we check 120/25 =  4.8 so this would be too many boxes as he would only need 24 boxes.

24 x 5 = 120 glasses.

Step-by-step explanation:

Answer:

percentage error = 12.28%

Step-by-step explanation:

5 x 0.14 = 0.7

5 x 1.14 = 5.7

as increase is not the same as error decrease.

We use the same numbers 12.28% = 0.1228.

5.7 x 0.1228 = 0.69996  = 12.28%

5.7 - 0.69996 = 5.00004 foot.  As decrease.

And find it is correct.

His error therefore was 12.28% out.

As we work the first numbers 5.7 and can only x by a number to see 5ft

We take 5.7 x 0.1228 and find 0.69996 when taken from 5.7 ft. is unmistakably 5 foot.  (5.00004) ft.

Answer:

14%

Step-by-step explanation:

percent error = (experimental measure - real measure)/(real measure) * 100%

percent error = (5.7 ft - 5 ft)/(5 ft) * 100%

percent error = (0.7 ft)/(5 ft) * 100%

percent error = 0.14 * 100%

percent error = 14%

Answer:

the answer is 32

Step-by-step explanation:

8 x 4 = 32

tip: division is backwards multiplication with different signs

hope this helps :)

mark as brainliest?

Answer:

15%

coz thats the ans

Answer:

The new punch is 62.5% juice.

Step-by-step explanation:

First we find how many cups of juice are in the punch. To do this we take 75% of 20, which is 15. We can confirm 15 is correct by doing 15 / 20 = 0.75, or 75%

Next we add four cups of water, bringing our total amount of cups to 24. We doing the last equation from above except with 24 cups instead of 20.

15 / 24 = 0.625, or 62.5%

Answer:

87

Step-by-step explanation:

or 130. let me know if I'm wrong

If the measure of arc AB is 50°, then the measure of its inscribed angle ACB is, 130°

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

The measure of arc AB = 50°

The measure of its inscribed angle ACB = ?

Here, ACBP will make a quadrilateral

And, the sum of opposite angles of quadrilateral is 180°

So, ∠ACB + ∠AB = 180°

⇒   ∠ACB = 180° - 50°

⇒   ∠ACB = 130°

Hence, the measure is 130°

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Answer:

35 adult shirts were sold

Step-by-step explanation:

10y+15a=2375

y+a=220

y=220-a

10(220-a)+15a=2375

2200-10a+15a=2375

2200+5a=2375

5a=175

a=35

35 adult shirts were sold.

Answer:

5, 7, 9

Step-by-step explanation:

Using the information given we get:

[tex]5x-7=2z[/tex]

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

[tex]5x-7=2(x+4)\\5x-7=2x+8\\[/tex]

Add 7 to both sides

[tex]5x=2x+15[/tex]

Subtract 2x from both sides

[tex]3x=15[/tex]

Divide both sides by 3

[tex]x=5[/tex]

Using these equations:

[tex]x+2=y\\y+2=z\\x+4=z[/tex]

and

[tex]x=5[/tex]

We get:

[tex]x=5\\y=7\\z=9[/tex]

Answer:

The slope is -3/1.

Step-by-step explanation:

Answer:

C) 56 deg

Step-by-step explanation:

The 28-degree angle shown is adjacent to an angle. Let's call that other angle y. y and the 28-deg angle add up to a right angle. That makes these two angles complementary. Their measures add to 90 deg.

28 + y = 90

y = 62 deg

The two marks on the sides of the upper triangle show that they are congruent, making the upper triangle isosceles. The angles opposite the congruent sides of a triangle are congruent. The upper angle on the left side of the upper triangle also measures 62 degrees.

The sum of the measures of the angles of a triangle is 180 deg.

62 + 62 + x = 180

124 + x = 180

x = 56

Answer: C. 56 deg

Answer:

-3 +7 > -10 - 2

Step-by-step explanation:

Given

-3 +7_-10 - 2

Required

Compare using any of the given inequality symbols

We start by solving both sides of the inequality

- 3 + 7 _  -10 -  2

(-3 + 7) _ (-10 - 2)

(4) _ (-12)

Having solved both sides of the inequality, it'll be observed that 4 (on the left hand side) is greater than -12 (on the right hand side);

Hence, the _ symbol can be replaced by the greater than symbol.

(4) _ (-12) can then be rewritten as

(4) > (-12) or

- 3 + 7 > -10 - 2

From the list of given options, option B is correct

Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution

Step-by-step explanation: Help I help

Answer:

$12

Step-by-step explanation:

u do 120 divided by 10 which gives u 12 which gives u per hours

hope this helps

Answer:

4xy(10y - 9x).

Step-by-step explanation:

40xy2 − 36x2y

The Greatest Common Factor (GCF) of 40 and 36 is 4.

GCF of x and x^2 is x,

GCF of y^2 and t is y.

So GCF = 4xy.

and  the factors are:

4xy(10y - 9x).

Answer:

50%

Step-by-step explanation:

Answer:

[tex]4.28 \times 10^{1}[/tex]

Step-by-step explanation:

[tex]42.8 \times 10^0=42.8[/tex]

[tex]4.28 \times 10^{1}=42.8[/tex]

Answer:

42.8 x 10^0

Step-by-step explanation:

A. Standard Form

Ax + By = C.

A, B, C are integers (positive or negative whole numbers)

No fractions nor decimals in standard form.

Traditionally the "Ax" term is positive.

Answer: Sin 23 = 2/5

Step-by-step explanation:

If cos 67 degrees is close to 2/5. That is, approximately,

Cos 67 = 2/5

Multiply the numerator and the denominator by 50

Cos 67 = 100/250

From trigonometry ratio,

Cos Ø = adjacent/hypothenus

Where the

Adjacent length = 100 cm

Hypothenus length = 250 cm

Po = opposite length = 100cm

If the degree = 23

The closest length will be

Sin Ø = Opposite/ hypothenus

Sin 23 = 100/250

Divide both the numerator and the denominator by 50

Sin 23 = 2/5

Answer:

40 cm

Step-by-step explanation:

Answer: 39/44

Step-by-step explanation:

3 1/4 = 13/4

13/4 times 3/100 = 13 times 3/4 times 11 which equals 39/44

The value of multiplication improper fraction 3/11 and mixed number 3 1/4 is 39/44.

To calculate the product of 3/11 and 3 1/4, we need to convert the mixed number 3 1/4 into an improper fraction.

To convert the mixed number 3 1/4 to an improper fraction, we multiply the whole number (3) by the denominator (4) and add the numerator (1). The result becomes the new numerator, and the denominator remains the same.

3 1/4

= (3 x 4 + 1) / 4

= 13/4

Now we can multiply 3/11 by 13/4:

(3/11) x (13/4)

= (3 x 13) / (11 x 4)

= 39/44

Therefore, the product of 3/11 and 3 1/4 is 39/44.

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Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

Answer:

b)  -185/18

Slope of the line   [tex]m = \frac{-185}{18}[/tex]

Step-by-step explanation:

Explanation:-

Given two co-ordinates are

[tex](\frac{10}{17} , \frac{2}{17} ),(\frac{9}{17} , \frac{13}{18} )[/tex]

Slope of the line

                 [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

                [tex]m = \frac{13/18 - 2/17 }{9/17 - 10/17 }[/tex]

                [tex]m = \frac{\frac{221-36}{18 X 17} }{\frac{-1}{17} }[/tex]

On simplification, we get

              [tex]m = \frac{-185}{18}[/tex]