Answer:
17,18
Step-by-step explanation:
let the smaller integer be "a" and the larger be "b"
Then 2b = 3a -15 ........................equ 1
but they are consecutive integers, b= a+1 ; substitute b into equ 1,thus,
2(a+1) = 3a - 15
2a + 2 = 3a-15
collect like terms,
2+15 =3a-2a
17 = a
b= a+1
b = 17+1
b=18.
The integers are 17,18
Answer:
x=22°, y=50°, z=108°
Step-by-step explanation:
x=22°(alternate angles are equal)
y=50°(angle sum in triangle is 180°)
z=108°
By solving given equations, the value of c is 30.
Given two equations
x + 2y = 10 and
3x + 6y = c
These lines represents the same line for some constant c.
Value of c:
x + 2y = 10-------------(1)
3x + 6y = c-------------(2)
Dividing equation (2) by 3
After solving the above equation, we get
x + 2y = c/3-----------(3)
Remember that a line is written as ax + by = c, in our case, both lines have a =1 and b = 2. Therefore, in orther that the two lines are equal, we need that, 10 = c/3
c = 10 × 3 = 30
c = 30
Therefore,
The value of c is 30.
Find out more information about equations here
brainly.com/question/21952977
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The volume of the solid created upon dilation bythe scale factor of 3 is 5832 units³.
<h3>What is the volume of the dilated solid?</h3>
An image is dilated if the dimensions of the image is resized in a way that does not change the shape of the image. When an image is dilated, it is made larger.
Dimensions of the dilataed solid = 6 x 3 = 18
Volume = 18³ = 5832 units³
To learn more about dilation, please check: brainly.com/question/3457976
Answer:
arc AC = 111°
Step-by-step explanation:
∠APC is a central angle, so arc AC is equal to the measure of ∠APC.
∠APC and ∠BPC are supplementary. So, m∠APC + m∠BPC = 180
m∠APC + 69 = 180
m∠APC = 111
arc AC = 111°
