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WITCHER [35]
3 years ago
5

The given angles Y and Z are supplementary angles. The measure of angle is 50 degrees. The measure of angle is five times the va

lue of x. Write an expression for the measure of angleY. Find the value of x. What is the measure of angle​Y?
Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

x is 10°, expression of angle could be

180 - z or 180 - 5x, the value of y is 130° if z is 50°

Step-by-step explanation:

y + z is 180°

x is 50/5 = 10°

z is 50°

y is 180 - z = 180 - 50 = 130°

y can be 180 - 5x or 180 - z

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Ac is 7 because it is a right angle

4 0
3 years ago
Log14/3 +log11/5-log22/15=log
Tamiku [17]

Answer:

log7

Step-by-step explanation:

when adding logs, apply the log rule: \log _a\left(x\right)+\log _a\left(y\right)=\log _a\left(xy\right)

∴  \log\left(\frac{14}{3}\right)+\log\left(\frac{11}{5}\right)=\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)

when subtracting logs, apply the log rule: \log _a\left(x\right)\:-\:\log _a\left(y\right)=\log _a\left(\frac{x}{y}\right)

\log\left(\frac{14}{3}\cdot \frac{11}{5}\right)-\log\left(\frac{22}{15}\right)=\log\left(\frac{\frac{14}{3}\cdot \frac{11}{5}}{\frac{22}{15}}\right)\\\\=\log\left(7\right)

5 0
2 years ago
Read 2 more answers
Marneshia walked three over eight of a mile in three over five of an hour. What equation can be used to calculate her unit rate
Rama09 [41]
3/8 mile in 3/5 hour
\frac{ \frac{3}{8} }{ \frac{3}{5} }
we want to find miles per hour or m/1h
convert 3/5 to 1 by multiplying it by 5/3
keep the fraction the same by multiply ing the whole thing by
\frac{ \frac{5}{3} }{ \frac{5}{3} } to get

\frac{ \frac{15}{24} }{ \frac{15}{15} }=
\frac{ \frac{5}{8} }{ 1}=5/8 miles per hour


7 0
3 years ago
Debra plans to invest $2,250 for 10 years. She can invest in a savings account that pays 4% simple intrest or a savings account
Diano4ka-milaya [45]

Answer:

\$180.55

Step-by-step explanation:

step 1

<u><em>Simple interest</em></u>

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04

substitute in the formula above

A=2,250(1+0.04*10)

A=2,250(1.4)

A=\$3,150

step 2

<u><em>Interest compounded annually</em></u>

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=10\ years\\ P=\$2,250\\r=4\%=4/100=0.04\\n=1

substitute in the formula above

A=2,250(1+\frac{0.04}{1})^{1*10}  

A=2,250(1.04)^{10}  

A=\$3,330.55

step 3

Find the differences between the two final amounts

A=\$3,330.55-\$3,150=\$180.55

5 0
3 years ago
A 5-mile walking trail has markers every ¼ of a mile. How many markers are there along the trail?
likoan [24]

Answer:

20 trail markers

Step-by-step explanation: I would appreciate a brainiiest

6 0
3 years ago
Read 2 more answers
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