Answer:
The value of 'x' is 17.
Step-by-step explanation:
Given:
Δ IJK ≅ ΔPQR
m∠I = 3x + 4
m∠P = 72 - x
To Find:
x = ?
Solution:
Δ IJK ≅ ΔPQR ...........Given
If two triangles are congruent then the corresponding angles of congruent triangles are congruent.
∴∠ I ≅ ∠ P ........corresponding parts of congruent triangle (CPCT)
Substituting the values we get
The value of 'x' is 17.
Answer:
y=-2x+7
Step-by-step explanation:
slope intercept form is equal to y=mx+c
where y is the y value
x is the x value
m is the gradient
and c is the y intercept
so the equation for this set of values is equal to
y=-2x+7
Answer:
A. j > 11
B. x ≥ 8
Step-by-step explanation:
For A if 7j is greater than 77, then j has to be more than 11. 7 x 11= 77.
For B x has to be greater or equal to 17, and 8+9 is equal to 17.
Answer:
<em>The man paid $200 for the cow</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = price of the cow
y = price of the horse
The man bought the cow and the horse for $500, thus
x + y = 500 [1]
The cow was sold at a profit of 10%, thus:
Sale price of the cow= 1.1x
The horse was sold at a loss of 10%, thus:
Sale price of the horse= 0.9y
The total operation was a 2% loss, i.e. 0.98*500=490. Thus, we have:
1.1x + 0.9y = 490 [2]
From [1]:
y = 500 - x
Substituting in [2]:
1.1x + 0.9(500 - x) = 490
Operating:
1.1x + 450 - 0.9x = 490
0.2x = 490 - 450 = 40
x = 40/0.2
x = 200
The man paid $200 for the cow
1.3 times 10 is 13 and 13 to the 15th power is 51185893014090760
