Find the length of AB.<br> AB = [ ? ]in

Debbie cut a cord into sixths . She used five of the to make necklaces . She used equal lengths of the remaining cord for each o

Brut [27]

So she used $\frac{5}{6}$ of the cord to make necklaces.
$1- \frac{5}{6} = \frac{1}{6}$

She splits the $\frac{1}{6}$ length into 4 equal lengths.
To divide a fraction by a fraction, you multiply it by its reciprocal.
$\frac{1}{6} ( \frac{1}{4})$
$=\frac{1}{24}$

She used $\frac{1}{24}$ of the original chord to make each bracelet.

4 0

2 years ago

"If < A and then m< A + m/B = 90°"<br> A. Complement Theorem<br> B. Definition of a Right Angle<br> C. Congruent Complemen

9966 [12]

If < A and then m< A + m/B = 90°, then D. Definition of Complementary Angles

<h3>What is a complementary angle?</h3>

When the sum of two angles is 90°, the angles are said to be complementary. In other words, if two angles add up to form a right angle, they are called complementary angles. The two angles are said to complement each other in this context.

Supplementary angles are two angles that add up to 180 degrees, whereas complementary angles are two angles that add up to 90 degrees.

An angle measuring 72 degrees has a complement of 18 degrees.

Therefore, based on the information given, the correct option is D.

Learn more about complementary angles on:

brainly.com/question/16281260

#SPJ1

8 0

7 months ago

The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO

Margarita [4]

Answer:

$\angle PRQ = 80$

Step-by-step explanation:

Given

$\angle SPR = 145^o$

$\angle POT = 115^o$

See attachment

Required

Find $\angle PRO$

First, calculate $\angle RPO$

$\angle RPO + \angle SPR = 180$ --- angle on a straight line

So, we have:

$\angle RPO + 145 = 180$

Collect like terms

$\angle RPO = 180 - 145$

$\angle RPO = 35$

Next, calculate PQR

$\angle POR + \angle POT = 180$

So, we have:

$\angle POR + 115 = 180$

Collect like terms

$\angle POR = 180-115$

$\angle POR = 65$

So, PRO is calculated as:

$\angle PRO + \angle POR + \angle RPO = 180$ --- angles in a triangle

So, we have:

$\angle PRO + 65 + 35= 180$

$\angle PRO + 100= 180$

Collect like terms

$\angle PRO = 180-100$

$\angle PRO = 80$

3 0

2 years ago

In Exercises 23–36, solve the system using either Gaussian elimina- tion with back-substitution or Gauss-Jordan elimination. 23.

Luba_88 [7]

Answer:

23) x= 3, y = 4

24) Any (x,y) values where x = 1.5 - 2y

Step-by-step explanation:

For the first system(23), it goes like this

[1 2 | 7]

[2 1 | 8]

We need to do L2 = L2 - 2L1, so now it is

[1 2 | 7]

[0 -3 |-6]

So, now we have:

-3y = -6 *(-1)

3y = 6

y = 2

x + 2y = 7

x + 4 = 7

x = 3

Now for system 24, we have:

[-1 2 | 1.5]

[2 -4| 3]

We do L2 = L2 + 2L1, so we have:

[-1 2 | 1.5]

[0 0| 0]

So there are infinite solutions for this system. The solution for this system will be each (x,y) pair where x = 1.5 - 2y.

5 0

2 years ago

Why are there graphs.

Tasya [4]

Answer:

Graphs are a common method to visually illustrate relationships in the data. The purpose of a graph is to present data that are too numerous or complicated to be described adequately in the text and in less space. ... If the data shows pronounced trends or reveals relations between variables, a graph should be used.

Step-by-step explanation:

8 0

2 years ago

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Find the length of AB. AB = [ ? ]in