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Tomtit [17]
4 years ago
13

Triangle ABC has angle measures as shown.

Mathematics
1 answer:
sladkih [1.3K]4 years ago
3 0
As with any triangle, the sum of angles is 180°.

(a)
(x -5) +(3x +30) +35 = 180 . . . . . sum of angles is 180
4x +60 = 180 . . . . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . . . . . . divide by 4


(b)
Angle A = x -5 = 30 -5 = 25

Angle B = 3x +30 = 3*30 +30 = 120
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A mother is 1 and 3/4 times as tall as her son. Her son is 3 feet tall. How tall is the mother?
Inga [223]

Answer:

The mom is 5 feet 3 inches

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

m = 1 3/4 * 3

<u>Step 2:  Solve</u>

m = (4/4+3/4) * 3

m = 7/4 * 3

m = 21/4

m = 5.25

<em>m = 5 feet 3 inches</em>

<em />

Answer:  The mom is 5 feet 3 inches

7 0
3 years ago
Read 2 more answers
Y=3x²+3x+1,find the value of the discrimination​
Rufina [12.5K]

Answer:

Step-by-step explanation:

a = 3

b = 3

c  = 1

Discriminate = sqrt(b^2 - 4ac)

Discriminate = sqrt(9 - 4*3*1)

Discriminate = sqrt(9 - 12)

Discriminate = sqrt(-3)

What negative value means that there are no real roots and the y intercept = 1. You should always graph this kind of question, which I am doing for you. I use Desmos which is a very handy program.

You should notice that the minimum is above the x axis. That means there are no real roots, just as the discriminate tells you.

5 0
3 years ago
Tell whether the ordered pair is a solution to the equation.<br><br><br> (1, 3); 4x – 3y = -5
Bumek [7]

Answer:

Yes

Step-by-step explanation:

4(1)-3(3)=-5

4-9=-5

-5=-5

8 0
2 years ago
Please help me on number 4
Mariulka [41]
Angle 5 = 117° because it is vertical to angle 8
Angle 7 = 63° because it is symmetrical to angle 5
Angle 6 = 63° because it is vertical to angle 7.
Angle 1 = 117° because it is corresponding to angle 5.
Angle 2 = 63° because it is corresponding to angle 6.
Angle 3= 117° because it is corresponding to angle 8.
Angle 4 = 63° because it is corresponding to angle 7.
3 0
3 years ago
PLEASE HELP I WILL GIFT 100 POINTS ASAP Which represents The variable in the following number sentence.
lesya692 [45]

Answer:

I think that would be R

Step-by-step explanation:

A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.

6 0
3 years ago
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