All categories

3 years ago

(15 Points)

Mathematics

2 answers:

Mamont248 [21]3 years ago

4 0

C. Angles 1,3 and 5 measure 43

pantera1 [17]3 years ago

3 0

Answer:

C) Group of angles measures 43° = angle 1 , 3 , 5.

Step-by-step explanation:

Given : A pair of parallel lines is cut by a transversal.

To find : Which group of angles measures 43°.

Solution : We have given A pair of parallel lines is cut by a transversal.

∠1 + 137 ° = 180° ( Linear pair angle ) .

On subtracting both sides by 137

∠1 = 180 -137 .

∠1 = 43°.

Then ,

∠1 = ∠3 ( Vertically opposite angles)

So , ∠3 = 43°.

Now , ∠3 = ∠5 ( Alternate interior angle ) .

So, ∠5 = 43°.

group of angles measures 43° = angle 1 , 3 , 5.

Therefore,C) Group of angles measures 43° = angle 1 , 3 , 5.

You might be interested in

The width of a rectangular card is 2 cm lekss than the Tength. The area is 15 cm. Find the length and

Yuri [45]

Answer:

Step-by-step explanation:

Area A = 15square cm

Length L = x

Width w = x - 2

Area = L × w

15 = x(x - 2)

15 = x^2 -2x

x^2 -2x - 15 = 0

Solving by factorization

x^2 - 5x + 3x - 15 = 0

(x^2 -5x) + (3x -15) = 0

x(x - 5) + 3(x - 5) = 0

(x + 3)(x - 5) = 0

(x + 3) = 0 or (x - 5) = 0

x = -3 or 5

Since x can't be negative therefore x is 5cm

Length = 5cm

Width = 5-2 = 3cm

5 0

3 years ago

780<br> 56°<br> (100°<br> (x + 48)°

Marta_Voda [28]

Answer:

The Question is Incomplete still What i understood I let you Explain.

x = 78°

Step-by-step explanation:

Let

m∠ A = 78°

m∠ B = 56°

m∠ C = 100°

m∠ D = (x + 48)°

Be angles of Quadrilateral.

To Find:

x = ?

Solution:

Property of a Quadrilateral sum of the measures of the angle is 360°.

∴ m∠ A + m∠ B + m∠ C + m∠ D = 360°

Substituting above given values we get

∴ 78° +56° + 100° + ( x + 48° ) = 360°

∴ x + 282° = 360°

∴ x = 360° - 282°

∴ x = 78° ........... which the required answer

4 0

3 years ago

A giant pie is created in an attempt to break a world record for baking. The pie is shown below:

Alenkinab [10]

I got 98.88 ft2 to nearest hundredth
full answer I got was v98.88381043 ft2
is it a typo of the actual answer?

8 0

3 years ago

Read 2 more answers

What solution do you obtain for the systems of equations by graphing? What is the exact solution?

Pani-rosa [81]

Answer:

(1.63,4.18)

Step-by-step explanation:

1) look at the graph below: they intersect at about (1.5,4)

lets solve the systems by substitution:

since both equations are equal to y lets substitute the second equation into the first:

-6x+14=5x-4

-6x-5x=-14-4

-11x=-18

x=1.63

lets substitute x in the first equation:

5(1.63)-4=4.18

Hope this helps!

3 0

3 years ago

The Boffo Product Company sells a waffle iron on which they have done product testing. They have determined that the amount of t

den301095 [7]

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that $\mu = 12*8 = 96$ and $\sigma = 8$