All categories

3 years ago

Is the measure of Z1 equal to the measure of Z2? Why?

Mathematics

1 answer:

VMariaS [17]3 years ago

5 0

Answer:

Angles with the same measure are congruent, so Z1 = Z2.

Step-by-step explanation:

You might be interested in

6) Two coastguard stations P and Q are 17km apart, with due East of P. A ship S is observed in distress on a bearing 048° fromP

adelina 88 [10]

Answer:

The ship S is at 10.05 km to coastguard P, and 12.70 km to coastguard Q.

Step-by-step explanation:

Let the distance of the ship to coastguard P be represented by x, and its distance to coastguard Q be represented by y.

But,

<P = 048°

<Q = $360^{o}$ - $324^{o}$

= 0 $36^{o}$

Sum of angles in a triangle = $180^{o}$

<P + <Q + <S = $180^{o}$

048° + 0 $36^{o}$ + <S = $180^{o}$

$84^{o}$ + <S = $180^{o}$

<S = $180^{o}$ - $84^{o}$

= $96^{o}$

<S = $96^{o}$

Applying the Sine rule,

$\frac{y}{Sin P}$ = $\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin P}$ = $\frac{z}{Sin S}$

$\frac{y}{Sin 48^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{y}{0.74314}$ = $\frac{17}{0.99452}$

⇒ y = $\frac{12.63338}{0.99452}$

= 12.703

y = 12.70 km

$\frac{x}{Sin Q}$ = $\frac{z}{Sin S}$

$\frac{x}{Sin 36^{o} }$ = $\frac{17}{Sin 96^{o} }$

$\frac{x}{0.58779}$ = $\frac{17}{0.99452}$

⇒ x = $\frac{9.992430}{0.99452}$

= 10.0475

x = 10.05 km

Thus,

the ship S is at a distance of 10.05 km to coastguard P, and 12.70 km to coastguard Q.

6 0

3 years ago

Find the sum of the first 8 terms in the sequence?

Darya [45]

We need to find the 8 th term nth term is given as an=a1+(n−1)d n=8, d =-4 (common difference) a8=a1+(8−1)×d a8=1+7×(−4)

5 0

3 years ago

How do you do ratio charts

Alla [95]

Write several instances of the ratio,then plot the ratios as points on the graph

8 0

3 years ago

Read 2 more answers

PLEASE HELP!!

Nadusha1986 [10]

M(meters) = 0.9144*y(yards)

4 0

3 years ago

Which is greater 62.381 or 62.831

Rufina [12.5K]

62.831 because the firs number that is different between the two is .8 and .3, and .8 is greater regardless of the numbers that follow afterward.

8 0

3 years ago

Read 2 more answers