First pic
a. ΔMNK ≅ ΔRTP
b. TR ≅ NM
c. x = 7
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21 ÷ 3
x = 7
Second pic
SAS (Side-Angle-Side congruence)
SSS (Side-Side-Side)
Hope this helps
Recall that the slope or gradient of a line segment through two points is the ratio of the change in the <em>y</em> coordinate to the change in the <em>x</em> coordinate.
If the gradient is 1, then
1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)
Solve for <em>a</em> :
1 = -7 / (-2<em>a</em>)
1 = 7/(2<em>a</em>)
2<em>a</em> = 7
<em>a</em> = 7/2
Answer:
The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.
Step-by-step explanation:
Let the price of a taco be x and the price for a small glass of milk be y.
Multiply the first equation by 2:
Subtract the new third equation from the second equation:
Hence, the price for a small glass of milk is $0.95.
Substitute y into the first equation.
Therefore, the price for a breakfast taco is $1.15.
Hope this helped!
Answer:
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to the area of its six rectangular faces
using the net
The surface area is equal to
![SA=2[(16)(6)]+2[(16)(8)]+2[(8)(6)]](https://tex.z-dn.net/?f=SA%3D2%5B%2816%29%286%29%5D%2B2%5B%2816%29%288%29%5D%2B2%5B%288%29%286%29%5D)
Answer:
Question 1. (2.2, -1.4)
Question 2. (1.33, 1)
Step-by-step explanation:
Equations for the given lines are
-----(1)
It is given that this line passes through two points (0, 2.5) and (2.2, 1.4).
------(2)
This equation passes through (0, -3) and (2.2, -1.4).
Now we have to find a common point through which these lines pass or solution of these equations.
From equations (1) and (2),
x =
x = 2.2
From equation (2),
y = -1.4
Therefore, solution of these equations is (2.2, -1.4).
Question 2.
The given equations are y = 1.5x - 1 and y = 1
From these equations,
1 = 1.5x - 1
1.5x = 2
x =
Therefore, the solution of the system of linear equations is (1.33, 1).
