Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?
Answer:
9mm
Step-by-step explanation:
34-16=18
18/2=9
Help. Me.
Will give brainliest.
60 POINTS
Answer:
Step-by-step explanation:
it would be -2 ;)
if the height of water in the tank is 10cm what is the volume of the water
Answer:
4500cm^3
Step-by-step explanation:
We use the normal formula for volume V= L•W•H just changing the H value from 20 to 10 because the water isn't at the full hight
10•30•15=4500
hope this helps <3
Total amount = P (1 + i)t Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20070
Step-by-step explanation:
Given data
Time= 5 years
Principal= $15,000
Rate= 6%
Total amount= P (1 + i)^t
substitute
Total amount= 15000(1 + 0.06)^5
Total amount= 15000 (1.06)^5
Total amount= 15000*1.338
Total amount= $20070
Hence the total amount will be $20070
Select all items equivalent to the square root of 24
Answer:
B and C are the correct options
The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.
What is the area of the square?Every one of the sides of a square is consistent. Let 'x' be the side length of the square. Then the region of the square is the square of the side length of the square.
Then the area of the square will be
Area of the square = x² square units
The expression is given below.
⇒ √24
If the area of the square is 24 square units. Then the side length is given as,
x · x = Area
x · x = 24
x² = 24
x = √24
The side length of the square with an area of 24 square units will be √24 units. Then the correct options are B and C.
More about the area of the square link is given below.
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Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
Consider the rectangular prism.
8 cm
14 cm
6 cm
How many cubes with side lengths of a cm can fit inside the rectangular prism?
0672 cubes
1, 344 cubes
2,688 cubes
0 5,376 cubes
Answer:
672 cubes because 8×6×14 equals 672 I hope it helps
The speed, v, of a wave is inversely proportional to the square root of the
depth, d, of the water. When v= 30 then d = 400.
Find y when d=25.
Answer:
v = 120
Step-by-step explanation:
If v is inversely proportional to square root of d, then we can write
[tex]v \sqrt{d}[/tex] = k
If v = 30 and d = 400, then
30([tex]\sqrt{400}[/tex]) = k
k = 30(20) = 600
Now [tex]v \sqrt{d}[/tex] = 600
If d = 25, then v[tex]\sqrt{25}[/tex] = 600
5v = 600
v = 120
use the area of the rectangle to find the area of the triangle 2 ft 9 ft
Answer:
[tex]\Huge\boxed{B}[/tex]
Step-by-step explanation:
Hello There!
The area of a rectangle is equal to length times width
2*9=18 so the area of the rectangle is 18 square feet
If a triangle is formed in a rectangle then that triangle is 1 half of the area of the rectangle
18/2=9 so the area of the triangle is 9 square feet
HELP ME PLZ !!!!!!!!
Answer:
LM=JM
Step-by-step explanation:
If Jk=Lk Maybe that K was not 90 This means that the triangles are not congruent if it was K = 90 maybe Jk ≠ Lk and that means the two triangles are not congruentif LM = GM و MK = MK It means that the two triangles are congruentLana has completed 65% of her math homework. Which fraction is equivalent to 65%?
A. 13/20
B. 65/1
C. 7/20
D. 13/2,000
Answer:
A) [tex]\frac{13}{20}[/tex]
Step-by-step explanation:
[tex]\frac{13}{20} = 065 = 65%[/tex]%
[tex]\frac{65}{1} = 65 = 100%[/tex]%
[tex]\frac{7}{20} = 035 = 35[/tex]%
[tex]\frac{13}{2,000} = 0.0065 = 0.0065[/tex]%
I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Here is the answer
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
Answer:
[tex] \tan \frac{opposite}{adjacent} [/tex]
21.4
Step-by-step explanation:
tan47° = x/20
1.072=x/20
20×1.072= x/20×20
x =20 ×1.072
x= 21.447
x=21.4
Whoever gets the question right I will mark as brainliest
Calculate volume of the prism
20 × 12 × 15
= 3600 in³
divide volume of prism with volume of container
3600 ÷ 400
= 9
9 times
2.
Find the slope of the line that passes through the pair of points.
(–5.5, 6.1), (–2.5, 3.1)
A. [tex]\frac{3}{8}[/tex]
B. –1
C. 1
D. [tex]-\frac{3}{8}[/tex]
Answer:
B. -1
Step-by-step explanation:
-1
According to the slope formula:
Slope = (y2 - y1)/(x2 - x1)
y2 = 6.1
y1 = 3.1
x2 = -5.5
x1 = -2.5
Therefore:
6.1-3.1/-5.5--2.5
Since negative negative is positive you are left with:
3/-3
Therefore the answer is -1.
It says shade 3/4 of this figure
Answer:
I think you shade in 6 of the rectangles
What percent of 71 is 27
Right answer gets brainlist
3 positive 1 positive
Step-by-step explanation:
D goes 3 units right and it get to 3 Positive and then two units down gets you to 3 Positive and 1 Positive 3,1
What is the answer??
Answer:
the answer would be the second one
Step-by-step explanation:
a congruency symbol consists of a = and a ~
The radius of a circle is 9 m. Find its circumference in terms of pi.
Answer:
56.52m
Step-by-step explanation:
This is because pie is commonly substitued as 3.14 and since the formula of a cicumference is piRx2 it would be 56.52
The circumference of the circle is 18π meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
The circumference of a circle can be found using the formula:
C = 2πr
where r is the circle's radius and π (pi) is a mathematical constant approximately equal to 3.14159.
Substituting r = 9 m into the formula, we get:
C = 2π × 9
C = 18π m
Therefore,
The circumference of the circle is 18π meters.
Learn more about Circle here:
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Keegan deposited $550 in savings account that pays 6.5% annual interest compounded quarterly write the compound interest formula to represent keegan's investment after 5 years how much money would Keegan have in the account after 5 years
Answer:
A = $759.23 after 5 years
Step-by-step explanation:
The compound interest formula applicable here is
A = P(1 + r/n)^(nt), where n is the number of compounding periods per year.
Here P = $550, r = 0.065, n = 4 and t = 5.
We get A = $550(1 + 0.065/4)^(4*5), or
A = $550(1 + 0.01625)^20, or:
A = $759.23
What is the surface area of the solid?
A.
189 square centimeters
B.
329 square centimeters
C.
154 square centimeters
D.
164.5 square centimeters
Answer:
A
Step-by-step explanation:
First u need to do the square 7 times 7 is 49 and one triangle is 70 and divide that by 2 it will equal 35 so there is 4 triangles so times that by 4 is will equal 140 and plus 49 is will equal 189
Answer:
hey
Step-by-step explanation:
option A) i.e. 189 cms
A train travels 20 miles in 15 minutes. how far will it travel in an hour and a half
Answer:
120
Step-by-step explanation:
One hour is 90 minutes 90/15=6 then you take 20X6=120miles
Answer:
It will travel 120 miles
Step-by-step explanation:
First, convert the hour and half to minutes: 90 minutes.
Then divide 90 with 15: 6
Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.
To rent a party room, customers
are charged an amount equal to the number
of hours they rent plus a $60 cleaning fee.
What is the cost of a 3-hour rental?
WILL MARK BRANLIEST !!
Answer:
78
Step-by-step explanation:
im not sure but i think is 78
60+18=78
sorry
We need help ASAP whatever you can do is fine please and thanks!!
Answer:
Angle 1: 130
Angle 3: 130
Angle 5: 50
Angle 6: 130
Step-by-step explanation:
If angle 2 is 50, that means 4,5, and 7 are 50 as well
Also, if we know angle 2 is 50, we know 1,3,8, and 6 are 130 since a line is always 180 (so subtract 50)
Let me know if you need more help!!
PLS HELP !!!!!!!!!!!!!!!!!!
pls show ur work
Answer:
The skier has a faster rate of speed.
Snowboarder: 15m/s
skier: 18 m/s
Step-by-step explanation:
Which quadratic function in vertex form can be represented by the graph that has a vertex 3.-7) and posses
through the point (1.-10)
A-y=3/4(x+3)^2+7
B-y=-3/4(x+3)^2-7
C-y=3/4(x-3)^2+7
D-y=-3/4(x-3)^2-7
Answer:D
Step-by-step explanation:
2.) Five minus four times a variable equals negative seven
Answer:
[tex]5 - 4x = - 7[/tex]
Step-by-step explanation:
Let the missing variable be x then yiu will get the answer above
Answer:
3
Step-by-step explanation:
5 - 4x = -7
add 4x to each side of the equation:
5 = 4x - 7
add 7 to each side:
12 = 4x
divide both sides by 4:
x = 3
proof:
5 = 4(3) - 7
5 = 12 - 7
5 = 5
Write an equation for the following scenario.
A colony of 36,000 bacteria grows continuously at a rate of 12%.
9514 1404 393
Answer:
b(t) = 36000·e^(0.12t)
Step-by-step explanation:
Continuous growth at a rate of r per time period is modeled by the exponential multiplier e^(rt), where t is the number of time periods. This value multiplies the initial amount (at t=0). In this case, the model would be ...
b(t) = 36000·e^(0.12t)
where b(t) is the number of bacteria in the colony after t time periods.
HELP ASAP DUE IN 10 MINS WILL GIVE BRAINLIEST PIC IN QUESTION
In the figure shown, l1 || l2. Which angle is congruent to ∠7? Select all that apply.
Answer:
Since congruent means that they have the same diameter , i'd say that the answer is 1
Step-by-step explanation: