All categories

3 years ago

17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.

Mathematics

1 answer:

SVEN [57.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

Find the diagram attached. From the diagram, we can see that;

<USW = <TSR (vertically opposite angles)

Given

<USW = 7x-34

<TSR = 4x+29

Equate

7x-34 = 4x+29

7x-4x = 29+34

3x = 63

x = 63/3

x = 21°

Find <USW

<USW =7x-34

<USW =7(21)-34

<USW = 147-34

<USW = 113°

Hence the measure of <USW is 113°

You might be interested in

If 2(a^2+b^2)=(a+b)^2 then, <br> >a+b=0,<br> >ab=0,<br> >a=b,<br> >2a=b

Tasya [4]

Answer:

2·(a^2 + b^2) = (a + b)^2

2·a^2 + 2·b^2 = a^2 + 2·a·b + b^2

a^2 + b^2 = 2·a·b

a^2 - 2·a·b + b^2 = 0

(a - b)^2 = 0

a = b

7 0

3 years ago

6 - 3x = 5x - 10x + 8

Jet001 [13]

Answer:

x=1

Step-by-step explanation:

6-3x=5x-10x+8=

move all terms to the left:

6-3x-(5x-10x+8)=0

add all the numbers together, and all the variables

-3x-(-5x+8)+6=0

get rid of parentheses

-3x+5x-8+6=0

add all the numbers together, and all the variables

2x-2=0

move all terms containing x to the left, all other terms to the right

2x=2

x=2/2

x=1

3 0

2 years ago

Rewrite in simplest terms: -2(5d-9f)+7f-10(-9f-7d)

Afina-wow [57]

Answer:

= 5 ( 12d + 23f )

Step-by-step explanation:

-2(5d-9f)+7f-10(-9f-7d

Open parenthesis

= -10d + 18f + 7f + 90f + 70d

Collect like terms

= -10d + 70d + 18f + 7f + 90f

= 60d + 115f

Factorise

= 5 ( 12d + 23f )

Therefore,

-2(5d-9f)+7f-10(-9f-7d) in its simplest form is 5 ( 12d + 23f )

4 0

2 years ago

Please help me I have been stuck on this question for ages

Finger [1]

Answer:28 green and 35 red

Step-by-step explanation:

Given

If there are r red counter and g green counter then

Probability of drawing a green counter is $P(g)=\frac{4}{9}$

and $P(g)=\frac{\text{No of g counter}}{\text{Total no of counter}}$

Thus $\frac{\text{No of g counter}}{\text{Total no of counter}}=\frac{4}{9}$

$\frac{g}{g+r}=\frac{4}{9}$

$\Rightarrow 9g=4g+4r$

$\Rightarrow 5g=4r\quad \ldots(i)$

Also if 4 red and 2 green counter is added the probability of drawing a green counter is

$P(g)=\frac{10}{23}=\frac{\text{No of g counter}}{\text{Total no of counter}}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+2+r+4}$

$\Rightarrow \frac{10}{23}=\frac{g+2}{g+r+6}$

$\Rightarrow 10g+10r+60=23g+46$

$\Rightarrow 10r+14=13g\ quad \ldots(ii)$

Substitute the value of g in equation (ii)[/tex]

$\Rightarrow 10\times \frac{5}{4}g+14=13g$

$\Rightarrow \frac{25}{2}g+14=13g$

$\Rightarrow g=28$

Therefore $r=35$

Thus there 28 green counter and 35 red counter

6 0

3 years ago

The teacher asked 4 students to measure 4 different objects. The table shown represents their measurements. Which student had th

Maru [420]

Student 4 has the largest percent error.

Step-by-step explanation:

The percent error of a measurement is given by

$p=\frac{|x-x_{true}|}{x_{true}}\cdot 100$

where

x is the value of the measurement

$x_{true}$ is the actual value

For student 1:

$x=49\\x_{true}=50$

Percent error:

$p=\frac{|49-50|}{50}\cdot 100=0.02\cdot 100=2\%$

For student 2:

$x=25.5\\x_{true}=25$

Percent error:

$p=\frac{|25.5-25|}{25.5}\cdot 100=0.0196\cdot 100 = 1.96\%$

For student 3:

$x=7.5\\x_{true}=8$

Percent error:

$p=\frac{|7.5-8|}{8}\cdot 100=0.0625\cdot 100 = 6.25\%$

For student 4:

$x=2.1\\x_{true}=1.6$

Percent error:

$p=\frac{|2.1-1.6|}{1.6}\cdot 100=0.3125\cdot 100 = 31.25\%$

So, student 4 has the largest percent error.

Learn more about errors:

brainly.com/question/2764830

#LearnwithBrainly

4 0

3 years ago

17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.​

17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.