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Anika [276]
2 years ago
15

Please don't answer just to say "I don't know" Thank you

Mathematics
2 answers:
HACTEHA [7]2 years ago
7 0
M<6 = m<4  = 2x + 39              (vertical angles)
and m < 1  is also  = m<4       (corresponding angles)

Therefore  we have:-

2x + 39  = 8x + 15   Solving for x:-

2x - 8x = 15 - 39
-6x = - 24

x = 4

So the measure of <6 =  2(4) + 39  =  47 degrees.


AlekseyPX2 years ago
5 0

8x+15 = 2x+39

8x =2x+24

6x = 24

x = 24/6 = 4

 angle 4 = 2(4) +39 = 8+39 = 47

 angle 6 = angle 4

angle 6 = 47 degrees

You might be interested in
The gestation period of rhinos ​(487 ​days) is​ _____ percent longer than the gestation period of bears ​(220 ​days).
Talja [164]

Answer:

The gestation period of rhinos ​(487 ​days) is​ 121. 3 percent longer than the gestation period of bears ​(220 ​days).

Step-by-step explanation:

Given:

Gestation period of rhinos = 487  ​days

Gestation period  of bears = 220 ​days

To Find:

Percentage increase = ?

Solution:

The percentage increase =\frac{ \text{new value} - \text{final value} }{\text{final value}} \times 100

On substituting the  values,

= \frac{ 487 - 220}{220}\times 100

=\frac{267}{220}\times 100

=>1.213 \times 100

=> 121.3 %

8 0
2 years ago
If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
Sam, Joe, Lynn, and Kori are four business colleagues traveling together on a business trip. There are four adjacent seats avail
DanielleElmas [232]

Answer:

A. Sam, Joe, Lynn, Kori

B. Kori, Lynn, Sam, Joe

Step-by-step explanation:

We need Kori and Lynn together and Kori and Sam at least a seat apart.

A. Sam, Joe, Lynn, Kori

B. Kori, Lynn, Sam, Joe

C. Lynn, Kori, Sam, Joe

D. Responses A and C

It seems both A. Sam, Joe, Lynn, Kori and B. Kori, Lynn, Sam, Joe both work. There is no choice for both of them so I'll just put both of them as my answer.

3 0
2 years ago
Samantha received a loan from the bank of 4500 she’s plans on paying off the loan and for years at the end of four years Samanth
zheka24 [161]
At the end it will be 20% interest.
6 0
2 years ago
The total gallons of juice each person consumes a yearly has decreased 4.1% each year. In 1981 each person drink 16.5 gallons of
Bas_tet [7]

Answer:

The approximate number of gallons consumed by a person in 2010 will be 4.9 gallons

Step-by-step explanation:

Recall that the formula for exponential decrease is given by a function of the form:

f(x)=A\.(1-r)^x

where A is the initial value, r is the rate of decrease, and x is the time elapsed.

In our case, the initial value of gallons of juice per person (at the starting time = 1981) is 16.5 gallons. So A = 16.5 gallons.

the rate of decrease "r" is the decimal form of: 4.1%, that is r = 0.041

So we have:

f(x)=16.5\.(1-0.041)^x

Now we can calculate what the average number of gallons would be in the year 2010, knowing that between 1981 and 2010 there is an elapsed time in years of: 2010-1981 = 29 years. Then:

f(29)=16.5\,(1-0.041)^{29}=4.9 \,\, gallons

6 0
2 years ago
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