Find the measure of the exterior angle. sses xº 36° 72°

Mathematics

1 answer:

notsponge [240]3 years ago

5 0

Add them together to find the answer 72+36= your answer

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3. Laura walks 3/5 mile to school each day. Isaiah walk to school is 3 times as long as Laura's. Howfar does Isaiah walk to scho

Finger [1]

Lets write down what we know...

Laura walks 3/5 mile to school everyday

Laura=3/5mile

Isaiah's walk is 3 times as long as Lauras, so

Isaiah=Laura*3

We know how far Lauras walk is so we can solve for Isaiah's walk

Isaiah=3/5*3 (or Isaiah=3/5+3/5+3/5 if thats easier for you to solve for)
Isaiah=9/5 miles

Now we know the answer! Great, Isaiah walks 9/5 miles to school each day. But 9/5 is an improper fraction, so lets convert it to a mixed number.

9/5=

To solve for this, we have to find out how many times 5 can go into 9. 5 goes into 9 one time with a remainder of 4, so we can write the mixed number as.

9/5= 1 4/5

Isaiah walks 9/5miles or 1 4/5 miles. Both are correct.

5 0

3 years ago

Read 2 more answers

Patty is 50 mi. due north of Todd. Emma is due east of Todd. Ifa line were drawn from Emma

zubka84 [21]

Answer:

Correct choice is D

Step-by-step explanation:

Consider right triangle PTE (Patty, Todd, Emma). In thistriangle PT=50 mi - the distanse between Patty and Todd, the distance between Patty and Emma PE and the distance between Emma and Todd ET are unknown. The angle PET has the measure of 40°. Then

$\sin 40^{\circ}=\dfrac{PT}{PE}\Rightarrow PE=\dfrac{PT}{\sin 40^{\circ}}=\dfrac{50}{\sin 40^{\circ}}\approx 78\ mi.$
$\tan 40^{\circ}=\dfrac{PT}{ET}\Rightarrow ET=\dfrac{PT}{\tan 40^{\circ}}=\dfrac{50}{\tan 40^{\circ}}\approx 60\ mi.$