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Archy [21]
3 years ago
5

Help find the measure of the angle indicated!!!?

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

50°

Step-by-step explanation:

m\angle RST = \frac{1}{2} \times (150\degree - 50\degree) \\\\m\angle RST = \frac{1}{2} \times 100\degree \\\\ \purple{ \bold{m\angle RST =50\degree}} \\\\

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For the parallelogram, if m<2+5x-28 abd m<4=3x-10, find m< 3. ...?
slava [35]
<span>Opposite angles of a parallelogram are equal, so: 


5x - 28 = 3x - 10 

2x = 18 

x = 9 


Plug x = 9 into the equations 

m angle 2 = 5x - 28 = 5 * 9 - 28 = 17 

m angle 4 = 3x - 10 = 3 * 9 - 10 = 17 


The sum of all angles in a parallelogram is 360, 

and we know: m angle 1 = m angle 3, so: 

m angle 1 + m angle 2 + m angle 3 + m angle 4 = 360 

m angle 3 + 17 + m angle 3 + 17 = 360 

2 * (m angle 3) = 360 - 17 - 17 = 326 


m angle 3 = 163</span>
6 0
3 years ago
Jeffery took a drive to town at an average rate of 50mph. When he returns, he drove back at the rate of 30 mph. If he spent a to
katen-ka-za [31]

Answer:

150 + 150 = 300

Step-by-step explanation:

50x = 30y  

x + y = 8

~~~~~~~~~~~~~~~

x = 8 - y

50(8-y) = 30y

400 - 50y = 30y

400 = 80y

y = 5

x= 3

6 0
3 years ago
Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t
KengaRu [80]

Answer:

0.139

Step-by-step explanation:

We are given that

Total number of cards=52

n=18

We have to find the probability of drawing at least 7 spades

Total number of spaded in deck of 52 cards=13

Probability  of getting spade=p=\frac{13}{52}=\frac{1}{4}

Probability,P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}

Probability  of getting no spade=q=1-p=1-\frac{1}{4}=\frac{3}{4}

By binomial theorem of probability

P(X=x)=\binom{n}r}p^rq^{n-r}

P(x\geq 7)=1-P(x\leq 6)

The probability of drawing at least 7 spades=1-\sum_{r=0}^{6}\binom{18}{r}(\frac{3}{4})^{18-r}(\frac{1}{4})^r

The probability of drawing at least 7 spades=0.139

4 0
3 years ago
What is the opportunity cost of the first 25 tacos? Of the last 25 tacos (from 75 to 100)?
dimulka [17.4K]

Answer:

for the section 'E' of the bags of dog food is 5. While the 'A' of Tacos in the first section is 0.5.

How???

well, we divided 25 with 50 to find the rate of change.

6 0
4 years ago
An official NBA basketball has a circumference of 29.5 inches. Determine how much leather is required to make an NBA basketball.
tekilochka [14]

Answer:

To first find the volume of the sphere, you need to first find the radius. To find this, you take the circumference of 29.5 inches and divide by pi to get the diameter.

Then divide the diameter by 2 to get the radius.

So we get a radius of about 4.70.

Then we use the formula for the volume of a sphere which is

Substituting in R for 4.69........, we get

Rounded to the nearest inch, we get 434 inches cubed.

Step-by-step explanation:

so the awnser is 434 pleaase mark me brainliest

3 0
2 years ago
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