All categories

3 years ago

I need help. I’m a little bit confused

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

Answer:

$m$ ∠8 = 65°

Step-by-step explanation:

The other side (angle) of 115 is $n$ and $n =$ ∠8

To find $n$ you need to subtract 180 - 115 giving you 65, and since n is angle 8, angle 8 is also 65 since the angles have a state of congruence...

pychu [463]3 years ago

5 0

Answer: 65 degrees

Explanation:

The adjacent angle directly above angle 8 is congruent to the 115 degree angle (due to the corresponding angles theorem). This only works because p || q and q || r, so by the transitive property of parallel lines, we know that p || r.

Since the 115 degree angle and angle 8 pair up to form a straight line, we know that the two angles must add to 180 degrees

115+(angle 8) = 180

angle 8 = 180 - 115

angle 8 = 65 degrees

You might be interested in

What is the sum of the exterior angles of regular 24-gon

vazorg [7]

9514 1404 393

Answer:

360°

Step-by-step explanation:

The sum of exterior angles of any convex polygon is 360°.

4 0

3 years ago

Ben's family went on a car trip. They stopped for gas 4 times. Each time they stopped they spent an average of 15 minutes at the

Romashka-Z-Leto [24]

Answer:

60 minutes

Step-by-step explanation:

Time taken by Ben's family at one gas station=15 minutes

Total number of gas stations they stopped at=4

Total time spended stopping for gas= 15x4=60 minutes.

4 0

3 years ago

What is 37 ÷ 100 × 9 =

Katyanochek1 [597]

Answer: 3.33

Step-by-step explanation:

Multiplication and division should be solved left to right.

$37/100*9\\\\Divide(100)\\\\0.37*9\\\\Multiply(9)\\\\3.33$

Hope it helps <3

4 0

3 years ago

Read 2 more answers

If n and t are positive integers, what is the greatest prime factor of the product nt ? (1) The greatest common factor of n and

Masteriza [31]

Answer:

Greatest prime factor of $nt$ is 7.

Step-by-step explanation:

Given that

Two positive integers are $n$ and $t$ .

(1) Greatest Common Factor or HCF of $n$ and $t$ is 5.

(2) Least Common Multiple or LCM of $n$ and $t$ is 105.

To find:

The greatest prime factor of the product $nt$ = ?

Solution:

First of all, let us learn about a property of HCF and LCM of two numbers.

The product of two numbers $p$ and $q$ is equal to the product of their HCF and LCM.

$p \times q =LCM\times HCF$

Using this property for the given numbers:

$n\times t =5\times 105\\OR\\nt =5\times105$

Now, let us make prime factors of $5 \times 105$ to find the greatest of the prime factors.

$5\times 105 = 5\times 5 \times 21 =5\times 5 \times 3 \times \bold{7}$

So, the prime factors of $5 \times 105$ are 5, 5, 3 and 7.

Greatest prime factor of $nt$ is 7.

8 0

4 years ago

A lake contain 900 gallons of water. The city is pumping water into the lake at a rate of 30 gallons per minute. Which expressio

boyakko [2]

Answer:

900 + 12 x 30

Step-by-step explanation:

4 0

3 years ago