Explanation:
AB || DC means we know that angle ABD = angle CDB. They are alternate interior angles. This is shown as the red angle markers in the diagram below.
Similarly, AD || BC leads to angle DBC = angle BDA. They are also alternate interior angles and they are marked in green in the diagram below.
So far we have two pairs of congruent angles.
The pair of congruent sides is BD = BD by the reflexive property. Any segment is congruent to itself.
So we can use ASA to prove the triangles congruent. Note the segment BD is between the angles mentioned.
FOR BRAINLIEST! which expression is the simplest form of - (4x^3+x^2) + 2(x^3-3x^2)?
PLEASE HELPP ILL MARK BRAINLIEST According to a personal study, the equation ý= 8.6067x +116.6567 models the average number of calories burned by
a 160 lb individual, where x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute
jog.
According to this regression equation, what is the approximate calories burned for an individual who spent 30 minutes weight lifting?
about 258 calories
o about 375 calories
about 406 calories
about 452 calories
Answer:
if x: 10 y: 202 then...
x: 30 y: 374.858 burned calories.
therefore, 375 calories.
About 375 calories burned for an individual who spent 30 minutes weight lifting
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
Given,
ý= 8.6067x +116.6567 the average number of calories burned by
a 160 lb individual.
In the given equation x is amount of time spent weight lifting, in minutes, given the individual started the workout with a 10-minute jog.
We need to find the approximate calories burned for an individual who spent 30 minutes weight lifting
To find this we just need to put x value as 30
ý= 8.6067(30)+116.6567
y=258.201+116.6567
y=374.85
y=375
Hence, about 375 calories burned for an individual who spent 30 minutes weight lifting
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Pedro & Samuel are training for a race. The ratio of miles Samuel runs is 2:3. If Samuel logs 27 miles, then how many miles did Pedro train
Answer:
18
Reason:
the ratio is 2:3, and samuel is the 3 part. We can put this as for every 2 miles that pedro gets, samuel gets 3 miles. Samuel got 27 miles, so you do 27/3 which is 9, and then 9 * 2, which is 18.
1) What is the unit rate for a train that travels 10.5 kilometers in 8 minutes?
O A. 1.75
O B.0.762
C. 84
D. 840
Step-by-step explanation:
Given that,
Distance, d = 10.5 km = 10500 m
Time, t = 8 minutes = 480 s
We need to find the unit rate of a train motion. The distance divided by time is equal to the speed of the object.
[tex]\text{Rate}=\dfrac{\text{Distance}}{\text{time}}\\\\=\dfrac{10500\ m}{480\ s}\\\\=21.87\ m/s[/tex]
So, the unit rate is 21.87 m/s.
Alan bought 5 feet of fabric. How much is this in yards
Answer:
15 yards.
Step-by-step explanation:
This is because there are 3 feet in one yard, and 5x3= 15.
Answer:
1.66667
Step-by-step explanation:
Which is a valid proportion?
Answer:
A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.
helpppppp please I will give brainliest to anyone who can solve this and explain please only explain if you know please
Answer:
The second answer choice is the best one
Step-by-step explanation:
y=7/2x-3
The perimeter of a triangle is 40 inches. The middle length side is twice as long as the short
side. The longest side is 10 inches longer than the sum of the other two sides. Set up an
equation to model this situation. Then find the length of each side
Answer:
67
Step-by-step explanation:
Please answer this thanks
Answer:
c
Step-by-step explanation:
Which of the following numbers is not a prime number?
A) 13
B) 17
C) 18
D) 19
E) 23
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
Answer:
52 ft
Step-by-step explanation:
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169 [tex]ft^2[/tex]
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
[tex]Area = Side \times Side[/tex]
Let the side be equal to [tex]a[/tex] ft.
Putting the given values in the formula:
[tex]169 = a^2\\\Rightarrow a =\sqrt{169}\\\Rightarrow \bold{a = 13\ ft}[/tex]
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 [tex]\times[/tex] Side
Perimeter = [tex]4\times 13 = \bold{52\ ft}[/tex]
SECTION 2-4 PRACTICE
For problems 3–7 use the Social Security tax rate of 6.2 percent and Medicare
tax rate of 1.45 percent to determine each tax and the total deduction.
Gross Soc. Sec. Tax Medicare Tax
Total
Pay
Withheld
Withheld
Deduction
3.
a.
C!
b.
b.
а.
C.
4.
5.
$ 125.00
432.00
241.00
1,562.00
2,521.00
a.
b.
C.
a.
b.
c.
6.
7.
b.
C.
a.
US 4
Answer:
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56
b. 432.00 26.78 6.26 33.04
c. 241.00 14.94 3.49 18.43
d. 1,562.00 96.84 22.65 119.49
e. 2,521.00 156.30 36.55 192.85
Step-by-step explanation:
a) Data and Calculations:
Social Security tax rate = 6.2%
Medicare tax rate = 1.45%
Computation of each tax and the total deduction:
Gross Soc. Sec. Tax Medicare Total Pay
Tax Deduction
a. $ 125.00 $7.75 $1.81 $9.56 $115.44
b. 432.00 26.78 6.26 33.04 398.96
c. 241.00 14.94 3.49 18.43 222.57
d. 1,562.00 96.84 22.65 119.49 1,442.51
e. 2,521.00 156.30 36.55 192.85 2,328.15
Total $4,881.00 302.61 70.76 373.37 4,507.63
Factor the algebraic expression 18a + 14 18a + 14 = (Factor completely.)
Answer:
You cannot factor that any more.
Step-by-step explanation:
The equation is as simple as it can be.
Use the order of operations to simplify 4 + 15 = 5
A 24 4/5
B 19 2/5
C 7 2/5
D 8
Answer:
C
Step-by-step explanation:
Harriet used the work below to determine the percent equivalent to One-eighth.
Step 1: One-eighth = StartFraction question mark Over 100 EndFraction
Step 2: 8 divided by 100 = 0.08
Step 3: 0.08 times 1 = 0.08
Step 4: 0.08 percent
What was Harriet’s error?
In Step 1, she set up the proportions incorrectly.
In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor.
In Step 3, she multiplied the numerator instead of the denominator by the factor.
In Step 4, she forgot to move the decimal.
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation: It's B
JUAN VIAJO DE SALAMANCA A CELAYA Y RECORRIO 25 CM. ¿CUÁNTOS METROS
RECORRIO?
Answer:
0.025
Step-by-step explanation:
Answer:
0.25 metros.
Step-by-step explanation:
cada centimetro es 0.01 metro.
Which one? 1, 2 , 3 , 4 , or 5 ? Select all
Answer:
1, 2, and 4
Step-by-step explanation:
jakakla j. sjsjsj
Answer:
5 ok how much is the same as the rest of volunteers and you can just leave
Use the function Y=2x^2+3x+7 to answer the following questions
Answer:
What are the questions?
which of these relations are functions?
Answer:
the fourth box (parabola)
Step-by-step explanation:
yeah
Please help me with question number 2
Answer:
this is easy u need just to put values in the formula
Step-by-step explanation:
putting values in the formula
T =
[tex]2\pi \sqrt{l \div g} [/tex]
T =2×3.14√0.65÷9.8
T= 6.28√0.066
T=6.28×0.25
T=1.617s answer
( x + 9 ) - ( x -2 )=
Answer:
x = -7/2
Step-by-step explanation:
( x + 9 ) - ( x -2 )=
2x +7 =
2x = -7
x = -7/2
The smoke alarms in an office building need new batteries. Larry has 1,311 batteries. Each office in the building needs 6 batteries. How many offices will get new batteries? How many batteries will be left?
A.
320 offices, 3 batteries left
B.
218 offices, 3 batteries left
C.
221 offices, 1 battery left
D.
218 offices, 5 batteries left
Answer:
C....
Step-by-step explanation:
Find the perimeter for the irregular polygons below
Answer:
1. 23
2. 17
Step-by-step explanation:
perimeter is the sum of length of all sides of a figure so if you add up the lengths of the sides you get 23 and 17 respectively.
Guys I need y’all help ! ASAP . Pleaseeeee !!!!!
What is the value of [(3/5)^0]^-12
Answer:
The value is 1
Step-by-step explanation:
3/5 = 0.6
0.6^0 = 1
1^-12 = 1
Find each value
1. ∛x³
2. 6³
3. 10³
Answer:
1.no answer x
Step-by-step explanation:
2. 216
3. 1000
Patrick is 5.432 feet tall, Ivan is 5.503 feet tall, Laura is 5.413 feet tall, and Daisy is 5.510 feet tall. Which of the following lists them in order from tallest to shortest?
Answer:
Daisy, Ivan, Patrick, Laura
Step-by-step explanation:
That's just the numbers biggest to smallest.
I have to select which pair of triangles can demonstrate congruence. Any help?
Answer: Choice D is correct
You use the HL (hypotenuse leg) theorem here.
The hypotenuse is the side opposite the right angle. In this case, the two hypotenuse segments overlap perfectly, so you'll use the reflexive property. The tickmarks tell us that we have a pair of congruent legs.
The other choices don't have enough information to be able to say if the triangles are congruent or not.
The pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
What is congruence in the triangles?The measurements of the sides and angles of two or more triangles determine their congruence. A triangle's size is determined by its three sides, and its shape is determined by its three angles. If the pairs of corresponding sides and angles of two triangles are equal, they are said to be congruent.
The side opposite the right angle is known as the hypotenuse. You will employ the reflexive characteristic in this instance since the two hypotenuse segments exactly overlap one another. We have a set of legs that are congruent, according to the tickmarks.
The information provided by the alternate options is insufficient to determine whether or not the triangles are congruent.
Thus, the pair of triangles D can demonstrate congruence. We are aware that two triangles are said to be congruent if the corresponding sides and angles of one triangle are equal to those of another triangle.
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Help !! Will mark brainlest !!
A flowering plant stands 6.5 inches tall when its placed under a growing light. Its growth is 0.25 inches per day. Which of the following equations represents this situation?
A- y=0.25x+6.5
B- y=6.5x+0.25
C- y= -0.25x+6.5
D- y= - 6.5x+0.25
Answer: the answer would be a-y=0.25x+6.5
Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
105 is on the graph
Answer:
Probability =0.8854 (Approx)
Step-by-step explanation:
Given:
Mean μ = 100
Standard deviation σ = 15
Computation:
Z at 70
Z = (70-100)/15
Z at 70 = -2
Z at 120
Z = (120-100)/15
Z at 100 = 1.33
Probability = φ(1.33) - φ(-2.0)
Probability = 0.9082-0.0228
Probability = 0.8854 (Approx)