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ValentinkaMS [17]
3 years ago
14

in an isosceles triangle if a base angle has a measure of 55 degrees then the vertex angle must have a measure of 70 degrees as

well
Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:

True

Step-by-step explanation:

The base angles of an isosceles triangle are equal.

The sum of the 3 angles in a triangle = 180°, thus

vertex angle = 180° - (55 + 55)° = 180° - 110° = 70°

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The equation of a circle whose center is at (4, 0) and radius is length 2√(3) is
soldier1979 [14.2K]

ANSWER

{(x - 4)}^{2}  +  {y}^{2}  = 12

EXPLANATION

The equation of a circle given the center (h,k) and radius r is given by:

{(x - h)}^{2}  +  {(y - k)}^{2}  =  {r}^{2}

The circle has center (4,0) and radius

r = 2 \sqrt{3}

We substitute the center and radius to get,

{(x - 4)}^{2}  +  {(y - 0)}^{2}  =  {(2 \sqrt{3)} }^{2}

{(x - 4)}^{2}  +  {(y - 0)}^{2}  = 12

{(x - 4)}^{2}  +  {y}^{2}  = 12

3 0
4 years ago
Question 4 of 10
zysi [14]

Step-by-step explanation:

AB = square root of [(xA-xB)^2+(yA-yB)^2]

AB=Squarerootof(-1-11)^2 +(-3-(-8))^2=Squarerootof(-12)^2+(5)^2)

AB=Squarerootof((144)+25)= Squarerootof(169)=13 the answer is 13 units

The choice D is the right one

4 0
3 years ago
A hot tub is being filled with water at a rate of 50 gallons per hour. Marcia's hot tub holds 400 gallons of water. The function
kodGreya [7K]

Answer:

<h3>5 hours</h3>

Step-by-step explanation:

Given the expression for the amount of water needed to completely fill the hot sub expressed as;

H(x) = 400 – 50x

x is the total number of hours

To get the number of hours it has been filling if it is still has 150 gallons to go, we will substitute h(x) as 150 and find x as shown;

150 = 400 - 50x

150 - 400 = -50x

-250 = -50x

x = -250/-50

x = 5

Hence it has been filling for 5 hours

7 0
3 years ago
Factor by grouping x3 - 3x2 + 4x -12 Group of answer choices
Natalija [7]

Answer:

(x² + 4)(x - 3)

or

A

Step-by-step explanation:

Step 1: Write out expression

x³ - 3x² + 4x - 12

Step 2: Factor by grouping

x³ - 3x²

x²(x - 3)

4x - 12

4(x - 3)

Step 3: Combine

(x² + 4)(x - 3)

4 0
3 years ago
Solve for m <br> 0.2m=3.5
fredd [130]

Answer:

m = 17.5

Step-by-step explanation:

Given 0.2m=3.5, we want to solve for m.  This involves isolating m on the left side.  To accomplish this, divide both sides by 0.2, obtaining:

m = 3.5/0.2, or m = 17.5

7 0
3 years ago
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