All categories

3 years ago

Find the m ∠YXZ. Show your Work

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

∠YXZ = 62°

Step-by-step explanation:

A straight line measures 180 degrees

The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:

Z + 8x - 14 = 180

Z = 180 +14 - 8x

Z = 194 - 8x

Sum of 3 angles of a triangle is 180 degrees, thus we can write:

X + Y + Z = 180

3x + 5 + 4x + 194 - 8x = 180

Now, we solve for x:

$3x + 5 + 4x + 194 - 8x = 180\\-x+199=180\\x = 199-180\\x=19$

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:

3x + 5

3(19) + 5

Thus,

∠YXZ = 62°

You might be interested in

A liter is equal to 100 centiliters.Is a centiliter a greater measure than a milliliter. Explain

borishaifa [10]

Yes. It takes more milliliters than centiliters to fill a liter.

6 0

4 years ago

Read 2 more answers

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a pro

nikklg [1K]

Answer:

The constraints are as follows;

1) 2·x + 2·y ≤ 120

2) 3·x + 4·y ≤ 160

3) x = 2.30

4) y = 3.10

5) P = 2.3·x + 3.10

Step-by-step explanation:

The question is a word problem, with the analysis as follows;

The profit from the roast beef special per sandwich = $2.30

The profit from the turkey special per sandwich = $3.10

The number of slices of bread in the roast beef special = Two slices

The number of slices of cheese in the roast beef special = Three slices

The number of slices of bread in the turkey special = Two slices

The number of slices of cheese in the turkey special = Four slices

The number of slices of bread the deli has = 120 slices

The number of slices of cheese the deli has = 160 slices

Let 'x' and represent the number of roast beef special and 'y' represent the number of turkey special the deli makes, then we have the constraints as follows;

For the number of slices of bread used;

2·x + 2·y ≤ 120...(1)

For the number of slices of cheese used;

3·x + 4·y ≤ 160...(2)

x = 2.30

y = 3.10

The profit 'P' is given by the following equation

P = 2.3·x + 3.10.

5 0

3 years ago

Angle P measures 112 degrees, what are the measures of angle N and O?

Oxana [17]

The inside angles of a triangle need to equal 180 degrees
in this triangle the lines NP and OP are identical so the 2 unknown angles would be equal
so the 2 unknown angles would be 180 - 112 = 68 / 2 = 34 each
angle N & O are 34 degrees

7 0

3 years ago

The function f(x)=-10(x)(x-4) represents the approximate height of a projectile launch on the ground into the air as a function

ELEN [110]

Answer:

4 seconds.

Step-by-step explanation:

The function f(x)=-10(x)(x-4) ........ (1), represents the approximate height of a projectile launch on the ground into the air as a function of time in seconds x.

Now, we are asked that for how long from the launch does the projectile stays in the air.

Therefore, we have to solve the equation (1) making f(x) as zero.

Hence, 10x(x - 4) = 0

⇒ x = 0 or x = 4

(As x can not be zero since at x = 0 sec, the projectile was at the ground.}

Hence, x = 4 seconds.

Therefore, the projectile was in the air for 4 seconds. (Answer)

4 0

3 years ago

Read 2 more answers

Please solve ASAP!!!!!!!!!

Ulleksa [173]

Answer:

14. A

15. C

16. B

17. B

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers