If YX=3x-4 and MO=9x-20, then MO=? {Diagram not necessarily drawn to scale.} *

Answer:

The value of x = 20.05

Step-by-step explanation:

As we know that the sum of the angles in a triangle is 180°.

From the diagram, we can say that the sum of the angles A, B, and C must be 180°.

so the equation of the sum of the angles of a triangle will be:

[tex]A+B+C=180^{\circ }[/tex]

As

[tex]A=43\frac{1}{4}^{\circ }[/tex]

[tex]B=5x^{\circ }[/tex]

[tex]C^{\circ }=36.5^{\circ }[/tex]

Substituting the values in the equation of the sum of the angles of a triangle to find the value of x.

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]\frac{173}{4}+5x+36.5=180[/tex]             ∵ [tex]43\frac{1}{4}=\frac{173}{4}[/tex]

Subtract [tex]\frac{173}{4}+36.5[/tex] from both sides

[tex]\frac{173}{4}+5x+36.5-\left(\frac{173}{4}+36.5\right)=180-\left(\frac{173}{4}+36.5\right)[/tex]

[tex]5x=100.25[/tex]

[tex]\frac{5x}{5}=\frac{100.25}{5}[/tex]

[tex]x=20.05[/tex]

Therefore, the value of x = 20.05

VERIFICATION:

[tex]A+B+C=180^{\circ }[/tex]

[tex]43\frac{1}{4}+5x+36.5=180[/tex]

[tex]43\frac{1}{4}+5\left(20.05\right)+36.5=180[/tex]

[tex]180=180[/tex]

Answer:[tex]\frac{161}{4}[/tex]

Step-by-step explanation:

Answer:

Bagels= 1$ and Muffins= 2$

Step-by-step explanation:

if Caleb bought 3 bagels for 1$ each that is 3$ and 2 muffins for 2$ each is 4$ and 4+3=7$

if Jonathan bought 2 bagels for 1$ each that is 2$ and 5 muffins for 2$ each is  10$ and 10+2=12$

Answer:

answer is c, I know because I took the test on edginuity

Answer:

y=4x−14

Step-by-step explanation:

solve for y.

y+2=4(x−3)

distribute 4

y+2=4x-12

subtract 2 from both sides

y+2+−2=4x−12+−2

y=4x−14

Answer:

y=4x−14

Answer:

[tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 52[/tex]

Step-by-step explanation:

Given

[tex]Sequence: 12, 16, 20, 24[/tex]

Solving (a): Write a formula

The above sequence shows an arithmetic progression

Hence:

The formula can be calculated using:

[tex]T_n = a + (n - 1) d[/tex]

In this case:

[tex]a = First\ Term = 12[/tex]

Difference (d) is difference of 2 successive terms

So:

[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]

[tex]d = 4[/tex]

Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]

[tex]T_n = 12 + (n - 1) * 4[/tex]

Open Bracket

[tex]T_n = 12 + 4n - 4[/tex]

Collect Like Terms

[tex]T_n = 12 - 4+ 4n[/tex]

[tex]T_n = 8+ 4n[/tex]

Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]

Solving (b): 11th term

This implies that n = 11

Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]

[tex]T_{11} = 8+ 4 * 11[/tex]

[tex]T_{11} = 8+ 44[/tex]

[tex]T_{11} = 52[/tex]

Answer:

A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].

B) The 11th term of the sequence is 62.

Step-by-step explanation:

A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:

[tex]f(n) = f(0) +r\cdot n[/tex] (1)

Where:

[tex]f(0)[/tex] - First value of the sequence, dimensionless.

[tex]r[/tex] - Arithmetic increase rate, dimensionless.

[tex]n[/tex] - Term of the value in the sequence, dimensionless.

If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:

[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]

B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:

[tex]f(10) = 12+4\cdot (10)[/tex]

[tex]f(10) = 62[/tex]

The 11th term of the sequence is 62.

Answer:

y=1    x=1

Step-by-step explanation:

2x + y = 3

x = 2y - 1  

.

It looks like I could substitute the x=2y-1. Into 2x+y=3

2(2y-1)+y=3

4y-2+y=3

5y=5

y=1

x=2(1)-1

x=1

Answer:

Y =1

X =1

Good luck!!

Answer:

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

General Formulas and Concepts:

Pre-Alg

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, 7)

Point (-2, 8)

Step 2: Find slope m

Answer:

Step-by-step explanation:

Answer:

The area of the triangle is 24.

Answer:

22%of 2346 is 516.12 which would be 516 persons

Answer:

The dimensions that will maximize the enclosed area of the pen is 250 ft by 250 ft

Step-by-step explanation:

we have the perimeter as 1000

So the sum of the lengths will be

1000/2 = 500

The dimensions that will maximize these pens will be such that they will have equal values

Mathematically, that will be 500/2 = 250 by 250

Answer:

2065 ÷ 7 = 295

295 × 8 = 2360

Christina will have scored 2,360 points.

Answer:

66

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

Answer:

About 8642

Step-by-step explanation:

21 mil/2430= 8641.97530864

Answer:

B

Step-by-step explanation

the answer comes to [tex]x\leq 20[/tex] and 15 is the only answer below 20

Answer:

B. x = 15

Step-by-step explanation:

Answer:

Permimeter=14

Step-by-step explanation:

4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.

Answer:

A

Step-by-step explanation:

Since Roberto bought 3 gifts, which are each $25.90, that would mean it would be 3×25.90. Plus, he bought himself a treat would would be a +4.

Answer:

473

Step-by-step explanation:

1:1

473:x

Cross Multiply

1x=473

Divide both sides by 1

x=473

Answer:11/4

Step-by-step explanation: u have to just put it backwards

Answer:

10000

Step-by-step explanation:

LOL its ok :)

Answer:

10000

Step-by-step explanation:

When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.

:D

Brainliest?

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = [tex]u[/tex] miles/hr

Let the speed of air = [tex]v[/tex] miles/hr

Distance traveled = 72 miles

Relative speed against the wind = [tex](u-v)[/tex] miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = [tex](u+v)[/tex] miles/hr

Time taken against the wind = 3 hours

Using the formula:

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

[tex]u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)[/tex]

[tex]u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)[/tex]

Adding (1) and (2):

[tex]2u=42\\\Rightarrow u = 21\ miles/hr[/tex]

By equation (1):

[tex]v = 21-18\\\Rightarrow v = 3\ miles/hr[/tex]

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

I think -2/7.

-2/7 is closer to 0 which is neither positive nor negative.

-5/7 is closer to a whole negative number.

9514 1404 393

Answer:

  $5

Step-by-step explanation:

Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:

  A +B +C +D = 20

  D = 2A

  C = A -B

Substituting the last two equations into the first gives ...

  A +B + (A -B) +2A = 20

  4A = 20 . . . simplify

  A = 5 . . . . . divide by 4

Substituting this into the last equation, we have ...

  C = 5 -B

  B + C = 5 . . . . add B

The cost to purchase a bunch of bananas and a cantaloupe is $5.

Answer:

Step-by-step explanation:

It is easy to notice that:

As per triangle congruence theorem (two congruent sides and a right angle)

Since:

We have

QA = QB = QC = 3.25 + 9 = 12.25

Answer:

30-6x=12

Step-by-step explanation:

30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)

hope this helps!!

Answer:

it should be B correct me if I'm rong

Answer:

x=118

Step-by-step explanation:

180-62=118

hope it helps !

Answer:

f(7) =5

Step-by-step explanation:

f(x) = x - 2

f(7) means let x = 7

f(7) = 7-2

f(7) =5

Answer:

B. 5

Step-by-step explanation:

f(x) = x - 2 when x = 7

f(7) = 7 - 2

f(7) = 5

Best of Luck!

Answer:

1 more slice

Step-by-step explanation:

1/2 of the pizza would be 4 since (8÷2=4)

So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...

and since we know that there are three slices missing....

the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten

Answer: the slope of the graph is -1

Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1