All categories

3 years ago

Two lines are intersecting. What is the value of x?

Mathematics

2 answers:

Alborosie3 years ago

7 0

Answer:

Step-by-step explanation:

by linear pair

(2x+4)+(x+23)=180

2x+4+x+23=180

3×+27=180

3x=180-27

x=153/3

×=51

Elodia [21]3 years ago

7 0

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180 {linear pair of angles}

3x + 27 = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51°

You might be interested in

Factor the following expression.

Natasha_Volkova [10]

Answer:

The answer is C . (5x^3-7)(2x^2+1)

Step-by-step explanation:

7 0

3 years ago

Which, if any, of the following is incorrect?

postnew [5]

B is the answe i think

3 0

3 years ago

Carolyn is building a pen for her dog. The perimeter of the pen is 52ft... The fencing material is sold by the yard. It costs 10

ANEK [815]

1 yd = 3ft
52 ft = 17 +1/3 yards
she must by 18 yards as the only sell by yard, not feet.
18 x 10.99
197.82

3 0

4 years ago

The question is in the picture. I’ll appreciate it so much !! Thank you !!!

iVinArrow [24]

Answer:

I hope this helped out!

6 0

3 years ago

Skylar is going to invest $69,000 and leave it in an account for 6 years. Assuming the

SSSSS [86.1K]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$105000\\ P=\textit{original amount deposited}\dotfill & \$69000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases}$

$105000=69000e^{\frac{r}{100}\cdot 6}\implies \cfrac{105000}{69000}=e^{\frac{3r}{50}}\implies \cfrac{7}{46}=e^{\frac{3r}{50}} \\\\\\ \log_e\left( \cfrac{35}{23} \right)=\log_e\left( e^{\frac{3r}{50}} \right)\implies \ln\left( \cfrac{35}{23} \right)=\cfrac{3r}{50}\implies 50\cdot \ln\left( \cfrac{35}{23} \right)=3r \\\\\\ \cfrac{50\cdot \ln\left( \frac{35}{23} \right)}{3}=r\implies 6.9976\approx r\implies \stackrel{\%}{7.00}\approx r$

8 0

3 years ago