One of the angles formed by two intersecting lines is 50° less than the other one. Find the measure of all angles.Could somebody please help me ASAP with an explanation?

Answers

Answer 1

Answer:

Two lines while intersecting, form two pairs of vertical angles (see attached diagram). It is known that vertical angles have equal measures.

Thus,

m∠1=m∠3;
m∠2=m∠4.

Let m∠1 = x°, then m∠2 = (x+50)°.

Angles 1 and 2 are supplementary, then

x+x+50°=180°,

2x=180°-50°,

2x=130°,

x=65°

Therefore,

m∠1=65°;
m∠2=65°+50°=115°.

Answer: 65°, 115°, 65°, 115°

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Which expressions show the expanded form for 840.02? Choose all answers that are correct. 8 × 100 + 4 × 10 + 2 × 110 8 × 100 + 4 × 10 + 2 × 1100 8 × 100 + 4 × 10 + 0 × 1 + 0 × 110 + 2 × 1100 8 × 100 + 4 × 10 + 4 × 0 + 0 × 11 + 2 × 110

Answers

Answer:

Option B and C are correct.

$8 * 100 + 4 * 10 +2 * (1)/(100)$

$8 * 100 + 4 * 10 + 0 * 1 + 0 *(1)/(10)+2 * (1)/(100)$

Step-by-step explanation:

Find the expanded form of 840.02.

Any decimal number can be expanded in the form of power of 10.

then;

In 840.02

the first 8 is

8 hundreds i.e, 800 ,

4 is 4 tens i.,e 40 ,

0 ones ,

0 one-tenths and

2 hundredths,

we can write this as;

$840.02 = 800 + 40 + 0 * 1 + 0 * (1)/(10)+2 * (1)/(100)$

$8 * 100 + 4 * 10 +2 * (1)/(100)$

$840.02 = 8 * 100 + 4 * 10 + 0 * 1 + (0)/(10)+ (2)/(10^2)$

Answer:

8 × 100 + 4 × 10 + 2 × 1/100

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100

Step-by-step explanation:

8 × 100 + 4 × 10 + 2 × 1/10 =800+40+2/10 = 840+2/10 = 840.2

8 × 100 + 4 × 10 + 2 × 1/100 = 800+40+2/100 = 840+2/100 = 840.02

8 × 100 + 4 × 10 + 0 × 1 + 0 × 1/10 + 2 × 1/100 =800+40+2/100= 840.02

8 × 100 + 4 × 10 + 4 × 0 + 0 × 11 + 2 × 1/10=800+40+2/10= 840+2/10 = 840.2

Determine the slope of the line that contains the points (-3, -5) and (0,10)

Answers

the slope is 5
equation is y=5x+10

Pleas help me need answers

Answers

Okay, So An Equation To Write Is:
T = Time
S = Money Saved
R = Money Made Per Dog
C = Cost
T = (C - S)/R

Solve:

T = (108 - 30)/8
Simplify

108-30 = 78

T = 78/8

78/8 = 9.75.

T = 9.75

Now, You Can't Walk 0.75 Of A Dog, So Round It.

T = 10

So, You Need To Walk At Least 10 Dogs.

Larry is given the expression 4058 divided by 54 to evaluate. What is the greatest place value in the quotient? Find the quotient?

Answers

Answer:

4058/54 is equal to about 75.15

the greatest place value is 70 (tens) and the quotient is about 75.15

a seamstress has a piece of cloth that is 3 yards long she cuts it into shorter lengths of 16 inches each. how many of the shorter pieces can she cut?

Answers

In this question the vital information that a person needs to have is the conversion of yard to inches. Once that is done, the question becomes easy as most of the required information's are already given in the question.
1 yard = 36 inches
Then
3 yards = 36 * 3 inches
   = 108 inches.
Now let us get down to finding the answer to the question.
Length of the cloth that needs to be cut into shorter lengths = 3 yards
      = 108 inches
Length of the shorter pieces = 16 inches
Then
umber of shorter pieces that can be cut = 108/16
   = 6.75
So from the above deduction we can easily conclude that 6 shorter pieces of 16 inches can be cut and still there will be a little excess piece of cloth remaining.

She can cut 6.75 shorter pieces of cloth

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are $\large{\boxed{:}}}$ or $\large{\boxed{\slash}}$

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

$\large{\boxed{\bold{divident:divisor=quotient+remainder}}$