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3 years ago

2. Find mzR and mzS. 89° R 157 T Р

Mathematics

1 answer:

baherus [9]3 years ago

5 0

Answer:

m∠R = 123°

m∠S = 91°

Step-by-step explanation:

The measure of an inscribed angle is 1/2 the measure of the intercepted arc

m of arc QRS = 2 m∠P = 2(57) = 114

Now m of arc SPQ = 360 - 114 = 246

So, m∠R = 1/2(246) = 123

m of arc RSP = 2 m∠Q = 2(89) = 178

m of arc PQR = 360 - 178 = 182

m∠S = 1/2(182) = 91

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natulia [17]

Answer:

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With that 20 we can divide it by 180 to find her hourly rate

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So she makes $9 an hour

Step-by-step explanation:

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2 years ago

PLEASE SHOW WORK AND HELP EXPLAIN: 12.42 divided by 4.6

Anni [7]

Answer:

12.42 = 1242 / 100;

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Step-by-step explanation:

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3 years ago

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Alenkasestr [34]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Triangles ΔABC ≅ ΔBAD so that C and D lie in the opposite semi-planes of segment AB. Prove that segment CD bisects segment AD.

kolbaska11 [484]

Answer:

See explanation

Step-by-step explanation:

Triangles ΔABC and ΔBAD are congruent. So,

AB ≅ BA;
AC ≅ BD;
BC ≅ AD;
∠ABC ≅ ∠BAD;
∠BCA ≅ ∠ADB;
∠CAB ≅ ∠DBA.

Consider triangles AEC and BED. In these triangles,

AC ≅ BD;
∠EAC ≅ ∠EBD (because ∠CBA ≅ ∠BAD);
∠AEC ≅ ∠BED (as vertical angles).

So, ΔAEC ≅ ΔBED. Thus,

AE ≅ EB.

This means that segment CD bisects segment AD.

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3 years ago

Samantha measured 40 1/2 inches. Over the next 5 1/2 years, she grew to a height of 57 inches. During the 5 1/2 years, what was

Alexxandr [17]

Answer:3 in. per yr

Step-by-step explanation:

Present height of Samantha is $40\frac{1}{2}=\frac{81}{2}$

After next $5\frac{1}{2} years i.e. \frac{11}{2} years$

she grew to $57\ inches$

Increase in her height $=57-\frac{81}{2}=16.5\ inches$

Increase in height per year is $=\frac{16.5}{5.5}=3\ in.\ per\ year$

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3 years ago