$a-b=21 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-2) \\
5a-2b=18 \\ \\
-2a+2b=-42 \\
\underline{5a-2b=18 \ \ \ \ \ \ \ } \\
5a-2a=18-42 \\ 3a=-24 \\
a=\frac{-24}{3} \\
a=-8 \\ \\
a-b=21 \\
-8-b=21 \\
-b=21+8 \\
-b=29 \\
b=-29$

a=-8 and b=-29.

6 0

4 years ago

Read 2 more answers

13. Find PS. 39 Р \76° R 28° S

baherus [9]

Answer:

21.38

Step-by-step explanation:

Find the diagram attached

In order to get PS, we need to get the length of QS first

According to triangle QRS;

QS =opposite

QR = 39(adjacent)

Using SOH CAH TOA

Tan theta = opp/adj

Tan 28 = QS/39

QS = 39tan28

QS = 39(0.5317)

QS = 20.74

Get PS

sin theta = QS/PS

sin 76 = 20.74/PS

PS = 20.74/sin76

PS = 20.74/0.9703

PS = 21.38

Hence the length of PS is 21.38

4 0

3 years ago

I NEED HELP PLEASE PLEASE

Svetlanka [38]

9514 1404 393

Answer:

y = 12

Step-by-step explanation:

Triangles ABD and CBD are congruent, so DA = DC:

3y +6 = 5y -18

24 = 2y . . . . . . . . add 18-3y; next, divide by 2

12 = y

_____

Additional comment

In some variations of this question, you may be asked to solve for x. Since the angles are equal, you have ...

3x -1 = 34 -2x ⇒ 5x = 35 ⇒ x = 7 . . . (consistent with ∠ABC = 40°)

4 0

3 years ago