All categories

3 years ago

Find the value of x. A. 10 B. 15 C. 20 D. 25

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

6 0

Answer:

(5x+13)+(3x+7)=180°

5x+3x=180°-7°-13°

8x=160°

x=160/8

x=20°

option C is correct

You might be interested in

Find m angle 1. A 100 B 25 C 80 D 105

Novosadov [1.4K]

Answer:

C. 80

Step-by-step explanation:

m angle 1 = ½×(105+55)= ½× 160= 80°

8 0

3 years ago

By what percent will the product of two numbers change, if the first number increases by 70%, while the second number decreases

erica [24]

Answer:

The product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

Step-by-step explanation:

Let first number be x and second number be y .

Then product of x and y = xy ......(1)

Given the first number increases by 70%, while the second number decreases by 40% this means,

x is increased by 70% that is

increased value of x = x + 0.7(x) = 1.7 x

Similarly y is decreases by 40% that is

decreased value of y = y - 0.4(y) = 0.6y

New product will be = (increased value of x )( decreased value of y)

= (1.7x)(0.6y)

=1.02xy

Changed Percentage = $\dfrac{\text{new value - original value}}{{\text{original value}}}\times 100$

Substitute the values, we get,

Changed Percentage = $\frac{1.02xy-xy}{xy}\times 100$

Changed Percentage = $\frac{0.02xy}{xy}\times 100$

Changed Percentage = $0.02\times 100$

Changed Percentage = $2\%$

Thus, the product of two numbers changes by 2% when the first number increases by 70%, while the second number decreases by 40%.

5 0

4 years ago

Gabe drove 124 miles in 150 minutes. find Gabe's speed in kilometers per hour. HELP PLEASE FOR MY TEST TMMRW

mario62 [17]

First, you need to convert the minutes into hours, to do this you divide the minutes by 60 (the amount of minutes in an hour). Once you've gotten the value (which is 2.5), you divide that by the amount of miles drove, then you get the unit rate, or in other words the kilometers per hour, which equals 49.6 km/h

4 0

3 years ago

The terminal velocity of a person falling through air is about 100Km/hr. The acceleration due to gravity is 10ms−2. Use this inf

Aleonysh [2.5K]

The question here is how long does it take for a falling person to reach the 90% of this terminal velocity. The computation is:

The terminal velocity vt fulfills v'=0. Therefore vt=g/c, and so c=g/vt = 10/(100*1000/3600) = 36,000/100,000... /s. Incorporating the differential equation shows that the time needed to reach velocity v is

t= ln [g / (g-c*v)] / c.

With v=.9 vt =.9 g/c,

t = ln [10] /c = 6.4 sec.

8 0

3 years ago

Find tan 0, given that sin 0=-4/5 and cos 0>0 A -5/3 B -4/3 C 3/5 D 5/4

Bess [88]

Answer:

Step-by-step explanation:

5 0

4 years ago