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3 years ago

What is the value of x? Enter your answer in the box. x =

Mathematics

1 answer:

tresset_1 [31]3 years ago

5 0

These are vertical angles, meaning they are congruent by definition. Thus, you can set the angles' expressions equal to each other and solve for x this way:

3x + 50 = 6x - 10
3x + 60 = 6x
60 = 3x
20 = x

Answer:
x = 20

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

6 0

2 years ago

In 2001 the mint indoor pool vault record was 20 and 1/6 the women’s record for the indoor pool vault was 15 and 5/12 FT what is

blondinia [14]

Answer:

35 and 7/12 feet is the combined height of the two records.

Step-by-step explanation:

Height of the indoor pool vault record for men = 20 and 1/6 ft = $\frac{121}{6} ft$

Height of indoor pool vault record for women = 15and 5/12 ft = $\frac{185}{12} ft$

The combined height of the two records :

$\frac{121}{6} ft+\frac{185}{12} ft$

$\frac{121\times 2}{6\times 2} ft+\frac{185}{12} ft$

$\frac{242}{12} ft+\frac{185}{12} ft$

$\frac{242+185}{12} ft=\frac{427}{12}=35\frac{7}{12}$

35 and 7/12 feet is the combined height of the two records.

5 0

3 years ago

Solve equation using square roots (x-1)^2=4

Aneli [31]

X is equal 3. to do this, you do reverse of order of operations. So this means that you would to the 'times 2' first by dividing 4 by 2 to make it 2. then, in the parenthesis, since there is a 'minus 1', therefore you are going to add 1+2 which equals three. <span />

4 0

3 years ago

Anybody able to help out ????

kodGreya [7K]

Answer:

z=110

a=69

b=47

c=116

d=93

e=86

Step-by-step explanation:

6 0

3 years ago

Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for h

MrRa [10]

Answer: B

Step-by-step explanation:

The second power basically means that you multiply the number by itself that many times depending on the power, and since it's 50^2, the answer is Caleb - 100 | Jenna - 2,500. (Tip: Just multiply 50 x 50)

4 0

3 years ago