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Dima020 [189]
3 years ago
11

Triangle ABC has angle measures as shown.

Mathematics
2 answers:
nydimaria [60]3 years ago
7 0

Answer:

Step-by-step explanation:

(2x - 10)° + (5x + 52)° + (3x + 28)° = 180°

10x + 70 = 180

<em>x = 11</em>

<em>m∠C</em> = [ 2(11) - 10 ]° = <em>12°</em>  

BartSMP [9]3 years ago
5 0

Answer:

   12°

Step-by-step explanation:

Sum of interior angles of the triangle is 180°:

   m∠A + m∠B + m∠C = 180°

   3x + 28° + 5x + 52° + 2x - 10° = 180°

   10x + 70° = 180°

   10x = 110°

   x = 11°

Find the measure of angle C:

   m∠C = 2x - 10° = 2(11°) - 10° = 22° - 10° = 12°

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Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

y - 6

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

y - 6

<em>Since the representation  of both phrases are the same, then option B answers the question.</em>

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3 years ago
Find two numbers that have a sum of 4 and a product of -5
nekit [7.7K]

Answer:

-1 and 5

Step-by-step explanation:

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3 years ago
You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla
lubasha [3.4K]

Answer:

No.  I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = 2b cups

Amount of flour i had = 8 cups

Number of loaves of bread = b

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

2b=8

Dividing both side by 2 we get;

\frac{2b}{2} =\frac{8}{2}

b=4

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
lbvjy [14]

Answer:

The equation of the quadratic graph is f(x)= - (1/8) (x-3)^2 + 3 (second option)

Step-by-step explanation:

Focus: F=(3,1)=(xf, yf)→xf=3, yf=1

Directrix: y=5 (horizontal line), then the axis of the parabola is vertical, and the equation has the form:

f(x)=[1 / (4p)] (x-h)^2+k

where Vertex: V=(h,k)

The directix y=5 must intercept the axis of the parabola at the point (3,5), and the vertex is the midpoint between this point and the focus:

Vertex is the midpoint between (3,5) and (3,1):

h=(3+3)/2→h=6/2→h=3

k=(5+1)/2→k=6/2→k=3

Vertex: V=(h,k)→V=(3,3)

p=yf-k→p=1-3→p=-2

Replacing the values in the equation:

f(x)= [ 1 / (4(-2)) ] (x-3)^2 + 3

f(x)=[ 1 / (-8) ] (x-3)^2 + 3

f(x)= - (1/8) (x-3)^2 + 3

4 0
3 years ago
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