The following triangles are similar triangles with some dimensions specified. Find the measures of the other sides.
Answers
Answer:
116°
Step-by-step explanation:
(Angle sum property of a triangle = 180°)
angle A + angle C + angle ABC = 180°
66° + 50° + angle BAC = 180°
116° + angle ABC = 180°
angle ABC = 180° - 116°
angle ABC = 64°
angle ABD + angle ABC = 180°
angle ABD + 64° = 180°
angle ABD = 180° - 64°
angle ABD = 116°
So, the measure of the unknown angle is 116°
Related Questions
The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
Answers
28 years
Step-by-step explanation:
Co-relating their ages:Let's say, the cat is x years old.The dog is twice as old as the cat
That makes the dog 2x years old.The monkey is twice as old as the dog.
That is, 2 × (2x) = 4x years old- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Calculating the total:Their total age is 4 years 2 months.
1 year has 12 months
=> 4 years have (4 × 12)
= 48 months
Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".
= 50 months
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solving for x:Sum of their ages = 50 months
=> x + 2x + 4x = 50
=> 7x = 50
=>x = 50/ 7 months
If we write this in mixed fractions the whole number will represent the number of years.
=
[tex] \mathsf{7 \frac{1}{7} \: \: months}[/tex]
[tex] = \mathsf{7 \: years \: \frac{1}{7} \: \: months}[/tex]
The value of 1/ 7 is really small,I.e., 0.1428...
So, we can ignore the fraction while rounding off the term that makes it
[tex] \mathsf{x = 7yrs.(approx.)}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Recall:x is the age of the cat.
The monkey's age is "4x"
= 4 × 7
= 28 years.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:So, the monkey's age is approximately 28 years
hello can someone help me on this question
Answers
Answer:
what question
Step-by-step explanation:
1/2x - 1 = 4 whats the solution?
Answers
Answer:
To solve for x, isolate it from the other terms.
Add 1 to both sides.
1/2x - 1 + 1 = 4 + 1
Combine like terms.
1/2x = 5
Multiply both sides 2.
x = 5(2)
x = 10
The solution is 10.
Hope this helps! :)
Determine the smallest integer value of x in the solution of the following inequality
Answers
Answer:
-2
Step-by-step explanation:
4x - 7 > -17
(add 7 on both sides)
4x > -10
(divide both sides by 4 to isolate x)
x > - 2.5
An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.
how would someone simplify 2√12xy^2
Answers
6 short questions 50 POINTS
Answers
Answer:
KN be better
sons of if his
whats the answer can someone answer please
Answers
Answer:
both are c
Step-by-step explanation:
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
Three business partners, Ren, Jaffary and Abel put money into a business in the ratio 2:3:4. From the profits they shared, Abel got 3400 dollars. How much did ren and Jaffary receive?
HELP GUYS PLS I HAVE 3 MIN TO GO
Answers
Answer:
Ren has 755.4
Jaffray has 1,133.1
Abel has 1,510.8
Given the system of equations presented here:
4x + y = 4
2x + 6y = 24
Which action creates an equivalent system that will eliminate one variable when they are combined?
Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.
Answers
Answer:
yep its D
Step-by-step explanation:
Answer:
D Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Answer:
Multiply the second equation by −2 to get −4x − 12y = −48.
Step-by-step explanation:
Given:
4x + y = 4 (1)
2x + 6y = 24 (2)
Multiply the second equation by −2 to get −4x − 12y = −48.
4x + y = 4 (1)
−4x − 12y = −48 (3)
Variable x can be eliminated by adding the equations
4x + (-4x) + y + (-12y) = 4 + (-48)
4x - 4x + y - 12y = 4 - 48
0 - 11y = -44
-11y = -44
Divide both sides by -11
y = -44/-11
= 4
y = 4
A rectangular field is six times as long as it is wide. If the perimeter of the field is 1190 feet, what are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not solve the equation yet. The equation is _______
(Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is ____________ feet.
The length of the field is ____________ feet.
Answers
ATQ
[tex]\\ \tt\longmapsto 2(x+6x)=1190[/tex]
[tex]\\ \tt\longmapsto 2(7x)=1190[/tex]
[tex]\\ \tt\longmapsto 7x=595[/tex]
[tex]\\ \tt\longmapsto x=595/7[/tex]
[tex]\\ \tt\longmapsto x=85[/tex]
Length=6(85)=510ftWidth=85fta Rose Garden is formed by joining a rectangle and a semicircle the rectangle is 33 ft long and 26 ft wide. If the gardener wants to build a fence around the garden how many feet of fence are required?
Answers
We know that the area of a rectangle is the length times width, or
20
⋅
32
in this example:
20
⋅
32
=
640
So the area of the rectangle is
640
f
t
2
.
You may not know the area of a semicircle, but that's fine
−
we know the area of a circle, or
π
r
2
.
Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by
2
:
So the area of a semicircle is
π
r
2
2
.
The question asks for
π
to just be
3.14
, so instead the equation is
A
=
3.14
r
2
2
The picture gives the diameter of the circle.
To find the radius, or
r
, we divide the diameter by
2
:
20
2
=
10
Now we can solve for the area of the semicircle:
3.14
(
10
)
2
2
3.14
(
100
)
2
314
2
157
f
t
2
Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:
640
+
157
=
797
f
t
2
Eloise's math tutor used algebra tiles to model 3n + 4 - n + 5. What is the simplified form of this expression?
Answers
Answer:
2n + 9
Step-by-step explanation:
3n - n + 4 + 5 = 2n + 9
Write the prime factorization of 38.
Answers
Graph the linear equation.
y= -2/3x - 4
Answers
Answer:
Step-by-step explanation:
First, let's substitute 0 for x, as we can see at x=0, y is going to be -4.
Now to get our second point let's make -2/3x = -4, or just 2/3=4.
We multiply be 3/2 on both sides and get x = 6. This means that at x = 6, y is going to be equal to 0. Now you can graph it out
5th-grade math is Very VERY easy If you solve it correctly I WILL MARK it AS BRAINLIST! Also, you will help 100000 of people so plz answer this
Answers
Answer: 6/6 or 1
Step-by-step explanation:
1/3 can be 2/6 when you b=mulitply the numerator and denominator by 2.
4/6 + 4/6 = 6/6 or 1
4/6 + 1/3 = 2/3 + 1/3 = 1
explain how to multiply rational expressions
Answers
Answer:
In order to multiply rational expressions:
Step 1: Completely factor all numerators and denominators.
Step 2: Reduce all common factors.
Step 3: Either multiply the denominators and numerators or leave the answer in factored form.
Here is an example:
Solve the system of equations using the substitution method.
5x−4y=−15
x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answers
Answer:
(-3,0)
Step by step explanation:
make x the subject of the formula in equation 2
x-3y=-3
x = 3+3y
substitute x in equation 1
5(3+3y)-3y = -15
open the brackets
15+15y-3y = -15
15+12y=-15
12y = 15-15
12y = 0
divide both sides by 12
y = 0
substitute y in equation 2
x - 3(0) = -3
x - 0 = -3
x = -3+0
x = -3
therefore x = -3
y = 0
Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year
Answers
Answer:
6
Step-by-step explanation:
40 x 0.50 = 20
40 + 20 = 60
Savanna has 69 blooms this year.
pls help i think its 3600 but i dont know NO EXPLANATION JUST ANSWER
Answers
Answer:
16
Step-by-step explanation:
Set up a proportion
[tex]\frac{3}{45} = \frac{x}{240}[/tex]
Then, cross multiply.
[tex]720 = 45x\\16 = x\\x = 16[/tex]
What kind of sequence is this? 34, 44, 54, 64, ...
Answers
Each number, 10 gets added
please help!
Anita’s parents started a Harvard college fund the day she was born. They figured by the time
she was 18, she would need $80 000 to cover four years of post secondary tuition fees. How
much money would they need to deposit on an annual basis from birth to her 18 th birthday, to
achieve this goal? Use a rate of 7%/a compounded annually.
Answers
Answer:
320,000
Step-by-step explanation:
80,000$x 4 years == 320,000$
[tex]simplify : \: \sqrt{5(2 \frac{3}{4}) - \frac{3}{10} } .[/tex]
Who will answer they will get Today Brainliest.
Answers
Answer:
Given that;
√[5{2(3/4)} - (3/10)]
⇛√[5{11/4 - 3/10}]
Take the LCM of 4 and 10 is 40.
⇛√[5{(55-6)/20}]
⇛√[5{(49/20)}]
⇛√(49/4)
⇛√(7²/2²)
⇛√(7/2)²
⇛√7*7/√2*2
⇛7/2 ≈ 3(1/2) or 3.5 Ans.
Hope this helps!!
2 x 7 x 5 x 2 x ____=48
Answers
Answer:that is actually not correct
Step-by-step explanation:
2x 7 x 5 x 2 do nit equal 48 but they do equal 140
Answer:
-12/35
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
What number should be subtracted to -2/3 to get -1/6
Pls answer thissss
Answers
Answer:
-1/2
Step-by-step explanation:
2/3 becomes 4/6
4/6 to go to 1/6 is -3/6 or -1/2 (simplified)
164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?
Answers
Answer:
3
Step-by-step explanation:
we know that 23x7=161
so there will be 3 people on the last trip to the top
please help :( ill give 40 points
Answers
Answer:
1. distance and time are the variables. 2. the variables are related by the speed of the car
Brainliest to the one that is 100% right
;)
Answers
Answer:
A is correct.
C. is correct.
D. is correct.
Step-by-step explanation:
A follows the commutative property, putting two fractions in parenthesis, and follows PEMDAS to simplify the answer.
B uses other random numbers and does NOT follow the property.
C follows the commutative property too.
D. also follows the property, same as A and C.
I hope this is a multiple choice question.
What is the property used and the solution 4.(-3).5
Answers
Answer:
60
Step-by-step explanation:
using the bodmas
multiply 4 by -3
then multiply with 5
If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?
Write answer as a integer or a reduced fraction.
Answers
Step-by-step explanation:
Given:
6 miles ⇒ 101 minutesx miles ⇒ 110 minutesFind the values of x using proportions:
x = 6*110/101x = 660/101x = 6 54/101 milesor
x = 6.53 miles