Answer:
Corresponding angles converse theorem
Step-by-step explanation:
If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.
Answer:
Corresponding angles converse theorem
Step-by-step explanation:
If two lines (AB and CD) are intersected by a transversal (BD) and corresponding angles are congruent (∠B ≅ ∠D), then the lines are parallel.
A. 48
B. 44
C. 52
D. 40
6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?
Answer:
A (48)
Step-by-step explanation:
let the father's age = x and his son's age = y
according to the question,
the sum of their ages is 74
×+y=74......equation 1
four years ago (i.e x-4 & y-4) father's age was twice as old as his son
x-4=2(y-4)
or, x-4=2y-8
x-2y=-4.......equation 2
now, in equation 1
x+y=74
hence,
x=74-y
substituting the values in equation 2
x-2y=-4
(74-y)-2y=-4
74-y-2y=-4
74-3y=-4
74+4=3y
3y=78
y=78/3
y=26
Hence the kid is 26 years old
x+y=74
x+26=74
x=74-26
x=48
Hence the dad is 48 years old
Answer:
The correct answer is: Option A: 48
Step-by-step explanation:
Let x be the present age of father and y be the present age of son
Given that
"The sum of the ages of a father and his son is 74"
[tex]x+y = 74\ \ \ Eqn\ 1[/tex]
Now
x-4 will be the age of father 4 years ago
y-4 will be the age of son 4 years ago
The equation will be:
[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]
From equation 1:
[tex]x = 74-y[/tex]
Putting in equation 2
[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]
Put y = 26 in equation 1
[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]
The father is 48 years old now.
Hence,
The correct answer is: Option A: 48
The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?
Answer:
(23, 9,200) (26, 10,400)
those are the only 2
QUICK !!!
What is the equivalent form of y +2 = -3(2 – 4) in slope-intercept form?
A) y = -3x + 10
B) y=32 + 10
C) y = 3x – 14
D) y= -3x – 14
Answer:
Is there any other Answers?
cuz I got y=4
11. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat
at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used
to determine x, the number of seconds it will take for the boats to be traveling the same speed?
A. 12x + 0.2 = 25x -0.7
C. 12.2x = -25.7x
B. 12 -0.2x = 25 +0.7X
D. 12 +0.2x = 25-0.7x
12+0.2x=−25−0.7x
Stay Safe!!
Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?
Answer:
180 square centimeters
Step-by-step explanation:
Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.
A total of 402 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Answer:
134 adult tickets were sold adt tye school play.
Step-by-step explanation:
total tickets = adult + student tickets
total tickets= (2×adult tickets)+adult tickets
total tickets = 3× adult tickets.
402=3×adult tickets.
402÷3=adult tickets
134=adult tickets
Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?
Answer:
19.5
Step-by-step explanation:
60 - 40.5 = 19.5.
pls pls answer this lol
Step-by-step explanation:
V101.08 is your questions answer
Answer:
10
Step-by-step explanation:
Firstly, check for square roots above and below rt(101) that you know.
Below: rt(100) = 10
Above: rt(121) = 11
As rt(100) is the closest to rt(101), your answer will be 10.
Hope this helps! :D
What is the slope of the line shown?
tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity
your proving is in photo
Match the equivalent expressions 4(2x + 3) - 7x
Round 7.284 to the nearest thousandth.
Answer:
7.28
Step-by-step explanation.
4 is rounded down to 80 and if you just take away the 0 in 80 its 8.
Answer:
it already is
Step-by-step explanation:
.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down
Polygon PQRST shown below is dilated with a scale factor of 3, keeping vertex P as the center of dilation:
Answer:
Its either A or B:
The length of diagonal PS and diagonal P'S' are in the ratio 1:3.
The lengths of side PT and side R'Q' are in the ratio 1:3.
I WILL GIVE BRAINLEST
Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes
PLSSS SHOW YOUR WORK PLSSSSSS
Answer:
2d-5=Q ?
Step-by-step explanation:
Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)
Factor the following by completing the square w^4-22w^2+9
Answer:
(w² - 4w - 3) (w² + 4w - 3)
Step-by-step explanation:
w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9
BRAINILIEST IF RIGHT 4. Solve the following equation.
-2 = -2b
A. 4
B. 0
C. -4
D.1
ways and answer in paper
can someone help me with this?
Answer:
A'(-2,0) B'(-3,5) C'(0,4)
Step-by-step explanation:
all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.
Answer:
A. (-2,0)
B. (-3,5)
C. (0,4)
Show work on this chekc if it correctly people
Answer:
See below
Step-by-step explanation:
1. Translation = (3 - 2, - 4 + 3) = (1, - 1)
2. Reflection over x axis = (3, 4)
3. Reflection over y axis = (-3, - 4)
4. Rotation 90° clockwise = (4, 3)
5. Rotation 180° counter clockwise = (-3, 4)
6. Dialation of 3 = (3*3, - 4*3) = (9, - 12)
What is 345 divied by 189 remander2
Answer:
37
4 remander
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:
5 ⟌ 1 8 9
Step 2:
The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 1 8 9
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 1 8 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.
0
5 ⟌ 1 8 9
- 0
1
Step 5:
Move down the 2nd digit of the dividend (8) like this:
0
5 ⟌ 1 8 9
- 0
1 8
Step 6:
The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:
0 3
5 ⟌ 1 8 9
- 0
1 8
Step 7:
Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:
0 3
5 ⟌ 1 8 9
- 0
1 8
1 5
Step 8:
Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3
Step 9:
Move down the last digit of the dividend (9) like this:
0 3
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 10:
The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
Step 11:
Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
3 5
Step 12:
Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.
0 3 7
5 ⟌ 1 8 9
- 0
1 8
- 1 5
3 9
- 3 5
4
You are done, because there are no more digits to move down from the dividend.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 189 divided by 5 calculated using Long Division is:
37
4 Remainder
The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1=1/4(x-12). What is
the standard form of the equation for this line?
x - 4y = 8
O x - 4y=2
4% - y = 8
O 49 - y = 2
Answer:
The answer is: x-4y=8
A carpenter cut a 6 ½-ft. board into 3/4-ft. sections. What is the number of whole sections he cut?
Answer:
8
Step-by-step explanation:
This man is cutting 6.5 ft of wood into pieces that are .75 ft long.
Divide 6.5/.75 and there's ur answer chief
How could the statement "12 less than x" be written?
Answer:
The statment would be written as "12 - x".
If bc+ad=b solve for a
Answer:
10
Step-by-step explanation:
Answer:
a = c/d
Step-by-step explanation:
ad = b-bc
ad = c
a = c/d
geometry help please :)
Answer:
If this is looking at the line In the center then F.
Step-by-step explanation:
The line in the center is the Niscetor of the line segment AC
What is the equation of the line that passes through (–5, 0) and (4, 3)?
A. y = 1/3x + 5/3
B. y = –1/3x – 5
C. y = 3x + 15
D. y = –3x – 15
Answer:
bop bada bap boom pow!Djdnxnjxjdjfbcc
Choose the odd one out. Give a reason for your answer. 75%. 3/4. 0.75. 7.5
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player have? help quick
Answer:
Let x be the number of hits Ricky has. Then x+277 is the number of hits Pedro has. Adding Ricky's and Pedro's hits give you 2685 hits. Therefore, x+(x+227)=2685 2x+227=2685 2x=2408 x=1204 x+277 1481 Therefore, Ricky has 1204 hits and Pedro has 1481 hits.
Step-by-step explanation:
I NEED HELP ITS TIMED
Answer:
Binomial
Step-by-step explanation:
This is because it has two terms
81-1 1/5 x < 55
please help i need help fast
Step-by-step explanation:
81 - 1.2x < 55
81 < 55 + 1.2x (add 1.2x to both sides)
1.2x > 26 (subtract 55 from both sides)
x > 21 2/3.
JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?
Answer:
[tex](3,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point J (15, -13)
Point K (-9, 27)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint.
Substitute [MP]: [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add: [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide: [tex](3,7)[/tex]