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Marina CMI [18]
2 years ago
9

Please find me the value of x​

Mathematics
2 answers:
ipn [44]2 years ago
7 0

Answer:

x = 60°

Step-by-step explanation:

∠ ABO and ∠ CBO are a linear pair and sum to 180° , that is

∠ ABO + ∠ CBO = 180°

150° + ∠ CBO = 180° ( subtract 150° from both sides )

∠ CBO = 30°

∠ XYO and ∠ CBO are alternate angles and are congruent , so

∠ XYO = 30°

∠ XOY and ∠ COY are a linear pair and sum to 180° , then

∠ XOY + ∠ COY = 180°

∠ XOY + 90° = 180° ( subtract 90° from both sides )

∠ XOY = 90°

the sum of the 3 angles in Δ XOY = 180° , that is

x + 90° + 30° = 180°

x + 120° = 180° ( subtract 120° from both sides )

x = 60°

erastova [34]2 years ago
4 0

Answer:

x = 60°

Step-by-step explanation:

See picture below.  When two parallel lines are cut by a transversal there are some special relationships.

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Answer:

a) 4

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4 0
3 years ago
Terrance picked 115.2 pounds of apples on Monday.
LUCKY_DIMON [66]

Answer:

212.8

Step-by-step explanation:

add the decimals

6 0
3 years ago
What is 2 3/8 - 3/4?
GrogVix [38]

13/8

But if you want it in decimal form it’s

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5 0
3 years ago
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Please Help! Algebra 2!
eduard

Answer:

The interest rate of the account is 3\%

Step-by-step explanation:

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  

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in this problem we have  

t=14\ years\\ P=\$1,863\\ A=\$2,830.97\\n=4  

substitute in the formula above  and solve for r

\$2,830.97=\$1,863(1+\frac{r}{4})^{4*14}  

(2,830.97/1,863)=(1+\frac{r}{4})^{56}  

(2,830.97/1,863)^{1/56}=(1+\frac{r}{4})

[(2,830.97/1,863)^{1/56}-1]=\frac{r}{4}    

r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03

Convert to percent

r= 0.03*100=3\%

8 0
3 years ago
write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2​
Kobotan [32]

Slope Intercept Form: y = mx + b

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Therefore, the slope intercept form of the given values would look like this:

y = 2x + 0 or just y = 2x

Have a great day!

5 0
3 years ago
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