What additional piece of information would prove DABD ≅ DCBD?
Answers
Answer:
∠BAD ≅ ∠BCD
Step-by-step explanation:
The complete equation is attached.
Two triangles are congruent to each other if all their three sides are equal to each other and all their three angles are equal to each other.
The angle side angle (ASA) congruence theorem states that two triangles are congruent if two angles of one triangle is equal to two angles of the other triangle and also if their included side are equal.
Since AB = BC, ∠ABD = ∠CBD. For ∠ABD ≅ ∠CBD based on ASA then ∠BAD ≅ ∠BCD
Related Questions
A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:
Answers
Answer:
Answer:the company bought 12 computers and 4 printers.
Step-by-step explanation:
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
Answer:
The company bought 12 computers and 4 printers.
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.
Answers
Answer:
Results are below.
Step-by-step explanation:
First, we need to establish the decrease function in the given population:
FV= PV/(1+g)^n
FV= future value
PV= present value
g= decrease rate
n= number of periods
Now, for the given information:
PV= 330
g= 22% = 0.22
n= 5 years
FV= 330 / (1.22)^5
FV= 122
Can someone please help with this question please I need help?!
Answers
Answer: B
Step-by-step explanation:
Each month, the person seems to grow taller. So, there IS a positive association between height and age.
Can I conclude ? (Please don’t be wrong I’ll give brainlist)
Answers
Answer:
yes because of the side-angle-side theorem
Step-by-step explanation:
6. Which of the following lines is perpendicular to the line **
4y = -- 24 and passes through the point (6 - 2)
(A) y a 4x 22
(B) yax - 22
(C) y = 22
(D) y - 4x-22
(E) = 4x+18
Answers
Answer:b
Step-by-step explanation:
Its correct
Why did Texans prefer low tariffs over protective tariffs? help plz
Answers
Answer:
they felt it only benefited the industrialized north, increased the cost of British textiles.
Step-by-step explanation:
learned during U.S history so i think its right
Answer:
Tariffs hurt Southerners?
Step-by-step explanation:
In 1828, Congress passed a high protective tariff that infuriated the southern states because they felt it only benefited the industrialized north. For example, a high tariff on imports increased the cost of British textiles. This tariff benefited American producers of cloth — mostly in the north.
A change jar contains nickels and quarters. The number
of nickels is 4 less than twice the number of quarters. If
the sum is $2.25, find how many quarters are in the jar
Answers
Answer:The answer is 7
Step-by-step explanation:
Kimoni wants to purchase a pair of shoes that are on sale for 10% off the regular price
of $64.00. Which is the sale price of the shoes?
Answers
Answer:
57.60
Step-by-step explanation:
Multiply $64 by .1 which is the decimal form of 10%. You should get 6.4. Then you subtract 6.4 from 64, you get 57.60.
Which of the ratios below is equivalent to 2:1? Select all that apply.
A) 6:4
B) 8:4
C) 10:5
D) 6:12
E) 6:3
Answers
Helppp!
Three sides of a triangle are 35 cm , 42 cm, and 70 cm . What is the ratio of the sides of the triangle?
A. 5:6
B. 70:84:140
C. 5:6:10
D. 7:6:42
Answers
What is the value of x in the equation 3x - 1/9y = 18, when y = 27?
Answers
Answer:
x=7
Step-by-step explanation:
(4x-1) /2=x+7
4x-1 all over 2 = x +7
Answers
Answer:
x = [tex]\frac{15}{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{4x-1}{2}[/tex] = x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2(x + 7) ← distribute
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = [tex]\frac{15}{2}[/tex]
Line t has slope 3 and passes through (0, 0). Follow these steps:
Step 1: Start at (0, 0)
Step 2: Move right 8 units
Answers
Answer:
foot
Step-by-step explanation:
what is the equation of a line that is parallel to the x-axis and is 3 units below the x-axis
A.x=3
B.x=-3
C.y=3
D.y=-3
Answers
PLEASE HELP ASAP!!!!!!!!
Given the exponential function f(x) = 60(1.07)x, classify the function as exponential growth or decay and determine the percent rate of growth or decay.
Exponential growth, 60% increase
Exponential growth, 7% increase
Exponential decay, 7% decrease
Exponential decay, 60% decrease
Answers
Answer:
3rd
Step-by-step explanation:
Answer:
Exponential decay, 7% decrease
Step-by-step explanation:
A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each. Find the percent markup.
Answers
Answer:
80%
Step-by-step explanation:
because 7200 / 300 equals 24 and 24 / 30 equals .8 so its 80% and if you want to check the answer you take 30 * .8 OR 80% and it gives you 24
The percent markup is 25%.
What is percent markup?Markup percentage is calculated by dividing the gross profit of a unit (its sales price minus it's cost to make or purchase for resale) by the cost of that unit.
Given that, A department store buys 300 shirts for a total cost of $7,200 and sells them for $30 each.
Cost of one shirt = 7200 / 300 = $24
And they sold at $30 each,
Percent markup = 30-24 / 24 × 100
= 25%
Hence, the percent markup is 25%.
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2/3X18 Multypily plzzzz
Answers
Answer:
12
This is the answer because 2/3 times 18 is 12...
Answer: 12
Step-by-step explanation:
2/3 * 18
you put 18 over 1
so 2/3 * 18/1
2*18= 36
3*1= 3
36/3 = 12
Marco has a $15.00 gift card to a movie theater. He wants to buy each of his friends a $3
candy bar. The function f(x)=3x-15 represents the amount of cash needed to purchase x candy
bars after using his gift card. He brings 7 friends. How much of his own money does he need
to spend to buy all 7 friends a candy bar?
Answers
Answer:
I believe the answer is 6
Step-by-step explanation:
f(x) = 3x - 15 -- plug 7 into x (that's how many candy bars he's buying)
f(x) = 3(7) - 15 -- solve the equation (just know that 3(7) is the total, and 15 is the amount of money on his gift card.)
f(x) = 21 - 15
f(x) = 6 -- your answer
I hope this helps :)
The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.
Answers
Answer:
2x+4y=150
Step-by-step explanation:
Top answer is right as it is shown in the picture below!
Please help me find tge answer soon thxs
Answers
Answer:
acute
Step-by-step explanation:
It measures less than 90 degrees
Answer:
Acute angle
Step-by-step explanation:
(less than 90°)
6. The variable n represents the figure number
in the following algebraic pattern rules:
A. 4n B. 2n + 2 C. 3n + 1 D. 4n - 1
Which of these pattern rules describes the
toothpick pattern shown below? Explain
how you know.
A
Figure 1
Figure 2
Figure 3
Figure 4
Answers
A pair of designer sneakers was purchased for $100. Since they were purchased, their price has increased by 15%. What is the new price?
Answers
Answer:
115
Step-by-step explanation:
a car is traveling at 35 miles per hour. what is the car's speed per second?
please help :(
Answers
But I’m not 100% sure
Sorry
What percent of $0.32 = $0.08
Answers
Answer:
1/4 or 25%
Step-by-step explanation:
because we know the whole is .32 so that means that for 0.08 is 1/4 or 25% of 0.32
Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?
Answers
Answer:
yes just fill up the 6 gallon jar up to the 4 galon mark
Step-by-step explanation:
12 people in line at an ice-cream shop 8 ordered cones with 2 scoops of ice cream the rest ordered cones with 1 scoop what is the ratio
Answers
Answer:
2:1
Step-by-step explanation:
Find the value of 4/5 divided by 8/15. You must simplify.
Answers
Answer:
3/2
Step-by-step explanation:
Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:
4/5x15/8
Reduce the numbers of the greatest common factor which is 5:
4x3/8
Reduce the numbers of the greatest common factor which is now 4:
3/2 is your answer
Find the slope of the line passing through the points (-7, -4) and (8,8).
Answers
Answer:
Hope its work for you
Step-by-step explanation:
As we know that,
slope=m=(Y2-Y1)/(X2-X1)As given values
take, (X1,Y1)=(-7,-4)
(X2-Y2)=(8,8)
hence X1=-7 , Y1= -4 , X2=8 , Y2= 8
putt the values in the above equation of slope we get ,
m=(8-(-4))/(8-(-7)
m=12/15 AnsAnswer:
0.8
Step-by-step explanation:
Slope=(y2-y1) (8--4) (12)
(x2-x1)= (8--7)= (15)= 0.8
What is the slope of the line that passes through the points (-9,10) and (21,15)
Answers
Answer:
1/6
Step-by-step explanation:
We can find the slope of the line using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 15 - 10)/( 21 - -9)
= ( 15-10) /( 21+9)
=5 / 30
= 1/6
Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle
Answers
The given triangle is a right triangle because it agrees Pythagoras theorem.
In the given triangle, the shorter lengths are 12 and 16.
The sum of square of shorter lengths:
[tex]= 12^2 + 16^2[/tex]
[tex]=144+256[/tex]
[tex]=400[/tex]
The longer length is 20.
Square of the longest length is [tex]20^2.[/tex]
[tex]20^2 = 20 \times 20[/tex]
=400
The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.
400 = 400
As this is agreeing Pythagoras theorem it is a right angle triangle.
Hence, option B is correct. right triangle.
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