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Alenkasestr
13 days ago
11

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

Mathematics
1 answer:
tester [12.3K]13 days ago
6 0

Solution:    49°, 49°, 82°

Detailed explanation:

Let x denote the base angles

and therefore the vertex angle is expressed as 2x - 16.

According to the Triangle Sum Theorem, the angles in a triangle total 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles are: x = 49

The vertex angle: 2(49) - 16 = 82

                                   

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76% is between which of the following two numbers?
AnnZ [12381]

Hi there!

While there are no answer choices provided, here's how you can solve a problem like this.

To find the average of two numbers, you simply sum them up and divide by two!

For instance, to find the midpoint between 1 and 3, you add 1 and 3 to get 4, then divide by 2 which results in 2!

For 100 and 580, adding gives you 680, and dividing by 2 results in 340!

The average between 0.57 and 0.69 involves adding to get 1.26, then dividing by 2 yields 0.63!

Now, with percentages, for 45% and 67%, the addition gives you 112%, and dividing that by 2 will result in 56%!

So, for your answer options, just calculate the total and divide by two to determine which one results in 76%!

I hope this information helps!

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1 month ago
Misha found that the equation -|2x-10|-1=2 had two possible solution x=3.5and x =-6.5. Which explains whether or not her solutio
Inessa [12570]
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3 0
16 days ago
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Last year a banquet hall charged $65 per person to attend a function. The function C(p) = 65p represents the total cost, C, to r
Svet_ta [12734]

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function illustrates the relationship between two variables (independent and dependent). The independent variable depends on nothing else, serving as the function's input, while the dependent variable relies on the independent variable, acting as the output.

The domain of a function includes all possible input variables (independent variable), and the range encompasses all potential output variables (dependent variables).

For the function C(p) = 65p, p represents the independent variable and C(p) constitutes the dependent variable.

As the hall accommodates a maximum of 50 individuals, the domain of this function is defined as [0, 50]

C(0) results in 65(0) = 0 and C(50) results in 65(50) = 3250

Thus, the range of this function is [0, 3250]

8 0
10 days ago
A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest
Leona [12618]

Answer:

A sum of $12,000 should be allocated at an interest rate of 5.25%, while $13,000 should be put in at 4%.

Step-by-step explanation:

Recall that

The simple interest formula is given by

I=P(rt)

where

I represents the total interest earned,

P is the initial investment,

r stands for the interest rate, and

t is the number of time periods.

Define

x as the amount invested at 5.25%,

and (25,000 - x) as the amount put in at 4%.

From the problem,

t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150

Plugging these into the formula:

I=P_1(r_1t)+P_2(r_2t)

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Now, isolate x:

1,150=0.0525x+1,000-0.04x

0.0525x-0.04x=1,150-1,000

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|$25,000-x=\$13,000

Hence, investing $12,000 at 5.25% and $13,000 at 4% meets the required interest condition.

6 0
2 months ago
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23 days ago
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