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Fed [463]
3 years ago
9

I need Geometry help!!!!

Mathematics
1 answer:
Goryan [66]3 years ago
5 0
What we know:
1. y = 2x because angles facing each other are equal to each other
2. A straight line means 180 degrees.

Steps:
y + (x + y + 5) = 180
2y + x = 175
2 (2x) + x = 175
5x = 175
x = 35
y = 2 (35) = 70
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-7x + 2y = -5<br> y = -7x + 8<br> explain how please
Fiesta28 [93]

Answer:

x = 1 and y =1

Step-by-step explanation:

y = -7x + 8

sub into other eq

-7x + 2(-7x + 8) = -5

-7x - 14x + 16 = -5

-21x = -21

x - 1

y = -7(1) + 8

y = 1

7 0
3 years ago
If AD is the altitude to BC, what is the slope of AD?<br> A. 1/3<br> B. 2/3<br> C. 3<br> D. −1/3
liberstina [14]

9514 1404 393

Answer:

  C.  3

Step-by-step explanation:

AD is perpendicular to BC, so its slope will be the opposite of the reciprocal of the slope of BC.

The slope of BC can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -2)/(3 -(-6)) = -3/9 = -1/3

Then the slope of AD is ...

  -1/(-1/3) = 3

6 0
3 years ago
Which values of a and b make the following equation true? (5x7y2)(-4x4y5)=-20xayb
Kaylis [27]

Answer:

The values of a and b are a = 11 , b = 7

Step-by-step explanation:

* Lets explain how to solve the problem

* In the exponential functions we have some rules

1-  In multiplication if they have same base we add  the power

# Ex: b^m  ×  b^n  =  b^(m + n) ⇒ b is the base , m and n are the powers

2- In division if they have same base we subtract  the power

# Ex: b^m  ÷  b^n =  b^(m – n) ⇒ b is the base , m and n are the powers

3- If we have power over power we multiply them

# Ex: (b^m)^n = b^(mn) ⇒ b is the base , m and n are the powers

* Lets solve the problem

∵ The equation is (5x^{7}y^{2})(-4x^{4}y^{5})=-20x^{a}y^{2} ⇒ (1)

- At first multiply the coefficients

∵ -4 × 5 = -20

- Multiply the base x

∵ (x^{7})(x^{4})=x^{7+4}=x^{11}

- Multiply the base y

∵ (y^{2})(y^{5})=y^{2+5}=y^{7}

∴ (5x^{7}y^{2})(-4x^{4}y^{5})=-20x^{11}y^{7} ⇒ (2)

- By comparing (1) and (2)

∴ a = 11 and b = 7

* The values of a and b are a = 11 , b = 7

5 0
3 years ago
Read 2 more answers
Choose all that applies help asap
melamori03 [73]

Answer:

idk maybe its c

Step-by-step explanation:

4 0
3 years ago
Mary and dan went to a bookstore. mary bought 2 notebooks and 3 pens for $14.50. dan bought 1 notebook and 2 pens for $7.50. how
never [62]

Let n,p be the cost, respectively, of a notebook and a pen. If you buy 2 notebooks and 3 pens (which we know is a cost of $14.50), you spend 2n+3p

Similarly, if you buy 1 notebook and 2 pens (which we know is a cost of $7.50), you spend n+2p

These two equations form the following system:

\begin{cases}2n+3p=14.5\\ n+2p=7.5 \end{cases}

Multiply the second equation by 2:

\begin{cases}2n+3p=14.5\\ 2n+4p=15 \end{cases}

Subtract the first equation from the second:

2n+4p - (2n+3p) = 15-14.5 \iff p=0.5

So, a pen costs 0.5 dollars. Plug this equation in the second equation:

n+2p=7.5 \iff n+2\cdot 0.5=7.5\iff n+1 = 7.5 \iff n=6.5

8 0
4 years ago
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