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Gnom [1K]
3 years ago
14

Giving brainliest !!!

Mathematics
1 answer:
Alona [7]3 years ago
4 0
It is given that AB is parellel to CD. These two lines are cut by a transversal, creating angles BAC and DCA. Thus, angle BAC is congruent to angle DCA because alternate interior angles are congruent. It is also given that angle ACB is congruent to angle CAD. Therefore, triangle ABC is congruent to triangle CDA because of the ASA theorem.
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Janet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. H
andrey2020 [161]

Answer:

We'll be making 35 liters of 19% glucose.

How much of a 15% solution and a 35% solution do we mix in order to get 35 liters of a 19% glucose solution?

X = liters of 15% and Y = liters of 35%

(.15 X + .35 Y) / 35 = .19

The number of Y liters will equal (35 -X) so the equation becomes

(.15 X + .35 *(35-X) ) / 35 = .19

(.15X + 12.25 -.35X) / 35 = .19

(-.20 X / 35) + (12.25 / 35) = .19

(-.20 X / 35) + .35 = .19

(-.20 X / 35) = -.16

-.20X = -5.6

X = 28 liters of 15% and

Y = 7 liters of 35% glucose

Answer is "c" 28 liters

8 0
3 years ago
I need urgent help, I can't figure out this last question.<br> PR=35, PT= 10x-1 solve for x
LenKa [72]

9)

Answer:

X=37/20

Explanation:

In a kite, one of the diagonals will bisect the other. So, 2(PT)=PR

By substitution, this becomes the equation

2(10x-1)=35

20x-2=35

20x=37

x=37/20

10)

Answer:

Angle TQR is 52 degrees

Explanation:

A kite only bisects one set of opposite angles, so angle TQR is congruent to angle TQP. To find angle TQP use this equation:

Angle TPQ+Angle TQP=90

This is possible because angle QTP is right(diagonals of kites are perpendicular) and because all triangles have interior angles that add up to 180 degrees. The remaining amount of degrees apart from the right angle should be 90 degrees(180-90=90).

Substitute:

38+ angle TQP= 90

Angle TQP= 52 degrees

Angle TQP is congruent to angle TQR, so

Angle TQR=52 degrees

5 0
3 years ago
PLZZ HELP ASAP The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Mamont248 [21]

Answer:

Step-by-step explanation:Sorry my answer thing isn't working. But the answer is the first one.

6 0
3 years ago
The bar graph shows the recommended number of hours of sleep for each age group.
OverLord2011 [107]

Answer:

The answer is about 10 hours. The recomened amount of sleep for school aged children between the ages of 6-13 years old is 9-11 hours of sleep per night.

4 0
3 years ago
Read 2 more answers
Plz help me with these question ( just making sure So I don’t get them wrong! :)
chubhunter [2.5K]
1. x intercept is (10,0)
y intercept is (0,6)

2. x intercept is (4,0)
y intercept is (0, -1)

3. x intercept is ( 4,0)
y intercept is (0,8)

hope this helps :) !
8 0
3 years ago
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