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4 years ago

In a right triangle, one of the exterior angles measures 155°. What is the measure of the non-adjacent, non-right angle?

1 answer:

3 0

Supplementary angles equal to 180
So, adjacent angle + exterior angle = 180
adjacent angle = 180 - 155 = 25

Now, non-adjacent + adjacent = 90
non-adjacent = 90 - 25 = 65
So 65 degrees is your answer.

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The results of a car race are shown. How much faster did Evans drive per lap than loza?

Lelechka [254]

Evans finishes 42 laps in 96,6 mins and Loza finished 38 laps in 102,6 mins

Evans. 96,6÷42= 2,30 mins
Loza . 102,6÷38= 2,70 mins

2,70 mins - 2,30 mins
= 40 secs and Evan is faster with 40secs in each lap.

8 0

4 years ago

28 in 21 in., 20 in.<br> Is this a right triangle?

ankoles [38]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

The simplest way to determine is testing out the numbers with Pythagorian theorem.

If it complies with the theorem, it is a right triangle.

let's assume c = 28, b = 21, and a = 20

the longest side is the hypotenuse so side c (28 in) will be the hypotenuse.

According to the Pythagorian theorem, the square of the length of hypotenuse must equal to the sum of squares of other two sides.

check:

c^2 = 28^2 = 784

a^2 + b^2 = 21^2 + 20^2 = 841

because c^2 is not equal to a^2 + b^2, the triangle is not a right triangle.

7 0

3 years ago

Tasha invests $5,000 annually at 6% and an additional $5,000 annually at 8%. Thomas invests $10,000 annually at 7%. Which statem

Setler79 [48]

Answer:

B is correct.

Step-by-step explanation:

Compound Interest Formula:

$V(t)=P(1+\frac{r}{n})^{nt}$

Tasha invests in two ways

Case 1:

Principal P=$5,000
Rate of Interest r=0.06
Time t=t
n=1

$V(t)=5000(1+0.06)^t$

$V(t)=5000(1.06)^t$

Case 2:

Principal P=$5,000
Rate of Interest r=0.08
Time t=1
n=1

$V(t)=5000(1+0.08)^t$

$V(t)=5000(1.08)^t$

Total amount yield by Tasha = $5000[(1.06)^t+(1.08)^t]$

Thomas Investment

Principal P=$10,000
Rate r= 0.07
t=t
n=1

Total amount yield by Thomas = $10000(1.07)^t$

Now we make table for Tasha and Thomas different value of t

t Tasha Thomas

1 $10,700 $10,700

2 $11,450 $11,449

3 $12,254 $12,250

4 $13,115 $13,108

In table we can see Tasha investment will yield more from Thomas.

Thus, Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

8 0

3 years ago

Read 2 more answers

If one kg. of potatoes costs $4.99, what would 1.8 kg cost?

lina2011 [118]

You can use the proportion.
$4.99 / 1 kg = x / 1.8 kg
x = ($4.99 * 1.8 kg) / 1 kg
x = $8.98

Therefore, in 1.8 kg of potatoes, it costs at $8.98
☺️<span>✌️</span>

3 0

3 years ago

800 hundred 2 hundred standord form

kondor19780726 [428]

800 = 8 x 10^2 in standard form
200 = 2 x 10^2 in standard form

7 0

3 years ago