3k=7Q+6p
Solve for P which means we have to make 'p' alone

Answer:
Angle I = 90 degrees
Angle J = 61 degrees
Angle K = 29 degrees
Step-by-step explanation:
Angle I is given
We know that the angles in all triangles add up to 180. Since we are given that angle I is equal to 90 degrees, we now know that angle J + angle K = 90 degrees:
(5x+26) + (2x+15) = 90
Solve for X:
7x + 41 = 90
7x = 49
x = 7
Angle J = (5x + 26) = (5(7) + 26) = 61
Angle K = (2x + 15) = (2(7) + 15) = 29
Checking your work: 61 + 29 = 90
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.

From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.

Therefore, the length of DB is 17 in
Answer:
- the y-intercept is (0,5)
- the slope is 2/3
Step-by-step explanation:

4ˣ⁻¹ = 49 / 4
<h3>How to simplify an expression?</h3>
The expressions can be simplified as follows;

Hence,

Therefore,

Finally,


2ˣ = 7
4ˣ⁻¹ = 2²⁽ˣ⁻¹⁾ = 2²ˣ ⁻ ² = 2²ˣ / 2² = (2ˣ)² / 2²
Therefore,
(2ˣ)² / 2² = 7² / 2² = 49 / 4
Hence,
4ˣ⁻¹ = 49 / 4
Finally, the
is equal to
and for the second part 4ˣ⁻¹ = 49 / 4
learn more on simplification here: brainly.com/question/17513857
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