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serious [3.7K]
3 years ago
10

Given that 4x – 5y = 21

Mathematics
1 answer:
GrogVix [38]3 years ago
7 0
Those who confess with their mouth Jesus is Lord and truly believe in their heart God rose him from the dead shall be saved turn away from ur sins ! sorry i couldn’t help
You might be interested in
ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0
3 years ago
A statue is mounted on top of a 16 foot hill. From the base of the hill to where you are standing is 77 feet and the statue subt
DanielleElmas [232]

Consider right triangle with vertices B - base of the hill, S - top of the statue and Y - you. In this triangle angle B is right and angle Y is 13.2°. If h is a height of the statue, then the legs YB and BS have lengths 77 ft and 16+h ft.

You have lengths of two legs and measure of one acute angle, then you can use tangent to find h:

\tan 13.2^{\circ}=\dfrac{\text{opposite leg}}{\text{adjacent leg}} =\dfrac{16+h}{77}, \\ \\ 0.2345=\dfrac{16+h}{77},\\  \\ 16+h=0.2345\cdot 77=18.0565,\\ h=18.0565-16=2.0565 ft.

Answer: the height of the statue is 2.0565 ft.

8 0
3 years ago
Read 2 more answers
Which number is distributed in this expression 5(3 + 2 + 8)? *
Agata [3.3K]

Answer:

c.5

Step-by-step explanation:

5(3 + 2 + 8)

The number outside of the parenthesis is distributed to the numbers inside of the parenthesis

5 0
3 years ago
Read 2 more answers
A bird is gliding at 40 meters per minute. How long, in minutes, will it take the bird to travel 160 meters?
adoni [48]

Answer:

<u>4 minutes</u>

Step-by-step explanation:

40=1 min

40=2 min

40=3 min

40=<u>4</u> min

40x4 or 40+40+40+40 is <u>160</u>

6 0
3 years ago
A football is kicked vertically upward from a height of 2 feet with an initial speed of 50 feet per second. The formula h=2+50t-
Oksanka [162]

Answer: 38 feet.

Step-by-step explanation:

The equation of motion of a body thrown vertically upwards:

                                       \displaystyle\\\boxed {h=h_0+v_0t-\frac{gt^2}{2} \ \ \ \ \ (1)},

h_0=2 \ feet\ \ \ \  v_0=50\  feet\  per\  second.

Substitute in formula (1) the value t=2 c:

h=2+50*2-16*2^2\\h=2+100-16*2*2\\h=102-64\\h=38\ feet.

5 0
1 year ago
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