Answer:
x = -2
Step-by-step explanation:
Since we know they will have the same output, we can set them equal to each other in an equation. We'll use x to represent the input.
3x + 6 = 8(x + 2) (Given)
3x + 6 = 8x + 16 (Distributed the 8)
6 = 5x + 16 (Subtracted 3x on both sides)
-10 = 5x (Subtracted 16 on both sides)
-2 = x (Divided 5 on both sides)
Answer:
Number of cubes that fills the prism=24
Step-by-step explanation:
The number of cube that completely fill the prism=Volume of Prism/Volume of cube with side 1/2 cm=0.5 cm
Volume of the prism=
Volume of Prism = 
Volume of the Cube:
Number of cubes that fills the prism:
So, the number of cubes that can fill the prism is '24'
Answer:
Step-by-step explanation:
xy = 32
x ; y is the divisor of 32
but : 32 = 2^5
6 ordered pairs of positive integers satisfy xY=32
(1;32) , (2;16) , (4; 8),(32; 1) , (16;2) , (8;4) .
The answers to the following question is
1) KL = 10
2) TE= 15 cm
3) angle PUT= 13
4) angle SQP = 21
<h3>What is similarity in triangle?</h3>
Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
1) Using similarity property in given triangle
SR/ KI= SJ / JK
AS, JK= 2 SJ
SR/ KI= SJ / 2 SJ
5/ KI = 1/2
KL= 10
2) As, the diagonal of parallelogram bisect equally each other then
VE = TE
AS, VE = 15
So, TE= 15 cm
3) As, PU is the bisector of angle SUT
angle PUT= 1/2 (angle SUT)
PUT = 1/2 (26)
angle PUT= 13
4) As PQ is the bisector SQR
angle PQR= angle SQP = 21
Learn more about similarity of triangles
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Answer:
4
Step-by-step explanation:
The equation is 2(10+x)=28 where x is the unknown number we are trying to find. Use distrubutive property to combine like terms. 2 times 10 is 20 and 2 times x is 2x. Now we have 20+2x = 28. What you do to one side you must do to the other. 20 minus 20 is 0. 28 minus 20 is 8. Now our equation is 2x is 8. To find 1 x we divided in half. 8/2 is 4 therefore the missing variable is 4.
