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photoshop1234 [79]
3 years ago
14

The measure of angle 1 is (3x + 10º and the measure of angle 4 is (4x - 15) What is the measure of angle 7?

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0
On a typical number line, we have basically two directions that we can move on. Either to the left where the numbers are negative, of to the right where the numbers are positive.
Given that point E has a coordinate of 1 on a number line, and we are told that the distance between E and another point on the number line is 11 (EG), the possible coordinates of point G are two (either we are moving to the right or to the left). Therefore, possible coordinates of G are:
1 - 11 = -10 (to the left)
1 + 11 = 12 (to the right
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Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

2(3)(3-1) = 4(4-1)

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
3 years ago
At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad
sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the  rules of trigonometry

\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}

\frac{a}{b}=\frac{c}{d}

\frac{35}{50}=\frac{4}{d}

35d=200

d=\frac{200}{35}

d=5.7ft  

Hence, The length of the person’s shadow is 5.7ft.

3 0
3 years ago
Fill in the blanks to write this function when x=3
algol [13]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve the system algebraically.<br> 3x - 2y - 1 = 0 y = 5x + 4 <br> What is the solution?
Bogdan [553]

Answer:

x=\frac{-9}{7}

y=\frac{-17}{7}

Step-by-step explanation:

We have been given the equation:

3x-2y-1=0

And y=5x+4

Second equation can be rewritten as:

5x-y=-4

We will solve the equations:

3x-2y=1      (1)

5x-y=-4       (2)

Multiply equation (1) by 5 and equation (2) by 3 we get:

15x-10y=5      (3)

15x-3y=-12       (4)

Now, subtract (4) from (3) we get:

-7y=17

y=\frac{-17}{7}

Now substitute y=\frac{-17}{7} in equation (1) we get:

3x-2{\frac{-17}{7}}=1

3x+\frac{34}{7}=1

21x=-27

x=\frac[-27}{21}

x=\frac{-9}{7}




3 0
3 years ago
Read 2 more answers
−4x + 5y = −10<br> 20a − 25b = 50
elena-14-01-66 [18.8K]

number one is x= 415=3 43 =3.75

number two is a= 45(b+2)

​

3 0
3 years ago
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