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2 years ago

Prove that the altitude to the base of an isosceles triangle is also the median to the base

1 answer:

4 0

The base angles theorem converse states if two angles in a triangle are congruent, then the sides opposite those angles are also congruent. The Isosceles Triangle Theorem states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle.

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Multiply and place the decimal point in the product of each problem -0.7 x 0.2

Elina [12.6K]

Your answer would be -0.14

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2 years ago

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Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4

Alinara [238K]

S(p)=D(p)
400-4p+0.00002p4=2,800-0.0012p3
Solve for p
P=96.24

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3 years ago

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The value of an antique chair is expected to increase by 3% every year. If the chair was bought for $1,020 in 2001, find its exp

castortr0y [4]

Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 1020
R rate of increases 0.03
T time 2,015−2,001=14 years
So
A=1,020×(1+0.03)^(14)
A=1,542.8 round your answer to get
A=1543

Hope it helps

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3 years ago

In a bag, there are 5 red marbles, 2 blue marbles, and 3 purple marbles. What is the probability of drawing a purple marble?

Kitty [74]

Answer:

3/10 or 30%

Step-by-step explanation:

Add all of the marbles: 5+2+3=10

Then use a fraction to represent the three purple marbles: 3/10

That porportion is your answer

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1 year ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Tju [1.3M]

Answer:

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

Step-by-step explanation:

We are given the following in the question:

$\hat{y}(x) = 50.57+0.4845x$

The above equation is a linear regression equation to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

$\hat{y}$ : The dependent variable, Exam 3 score

x: The independent variable, Exam 1 score

Comparing to general linear equation,

$y = mx + c$

We get,

m = 0.4845, c = 50.57

where

c is the y - intercept and the score in exam 3 when exam score is 0.

$\hat{y}(0) = 50.57+0.4845(0)\\\hat{y}(0) = 50.57$

m is the slope and tells us about the rate of change.

When exam 1 grade is increased by 1, we can write,

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1)-\hat{y}(x) = 50.57+0.4845(x+1)-( 50.57+0.4845x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845(x+1-x)\\\hat{y}(x+1)-\hat{y}(x) = 0.4845$

Thus, the y-intercept for the given equation can be interpreted as

Option 3) The expected Exam 3 score for someone that made a 0 on Exam 1 is a 50.57.

6 0

3 years ago

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