Can someone please help me i’m not doing so well in this new topic

m<H= 80*

m<P= 80*

m<I= 33*

M<Q= 33*

M<J=67*

M<R=67*

Step-by-step explanation:

Given States that ️ HIJ = ️ PQR

<H=<P

2x=x+40

2x-x=x-x+40

x=40

<I=<Q

<J=<R

ALL TRIANGLES MEASURE 180*

Y= the measure of <R and <J

2x+33+y=180

2(40)+33+y=180

80+33+y=180

113+y=180

113-113+y=180-113

y=67

See answer below

Step-by-step explanation:

If ΔHIJ ≅ ΔPQR ,then you know six  congruent parts:

 ∠H ≅ ∠P ; ∠I ≅ ∠Q;  ∠J ≅ ∠R    and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR

   ∠H ≅ ∠P         ∠I ≅ ∠Q

2x = x + 40°          ∠I = 35°

x = 40°

So ∠H = 2x = 2(40) = 80°                        Δ HIJ = 180°

    ∠P = x + 40 = 40 + 40 = 80°               ∠H + ∠I  + ∠J = 180°

    ∠Q = 35°                                                  80° + 35° + ∠J = 180°

    ∠ I = 35°                                                   115° + ∠J = 180°

    ∠ J = 65°                                                          ∠J = 65°

    ∠R = 65°                                                      ∠J ≅ ∠R

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

answer: 800

step-by-step explanation: