1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Afina-wow [57]
3 years ago
13

In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C

Mathematics
1 answer:
aleksklad [387]3 years ago
4 0

Answer:

m<B = m<C = 55

Step-by-step explanation:

Since those two sides are congruent, the base angles are congruent.

m<B = m<C = x

m<A + m<B + m<C = 180

70 + x + x = 180

2x + 70 = 180

2x = 110

x = 55

m<B = m<C = 55

You might be interested in
How would I solve 7r=-7/2? I know the answer is -1/2 I just don't understand how to get -1/2 as my answer.
Art [367]
7r=-7/2

divide both sides by 7 to get r by itself

(7r)/(7) = (-7/2)/(7)

if you don't quite see it, think of multiplying both sides by 1/7 instead (its the same thing as dividing by 7)

(7r)*(1/7)=(-7/2)*(1/7)

r=-1/2
7 0
3 years ago
Consider a rabbit population​ P(t) satisfying the logistic equation StartFraction dP Over dt EndFraction equals aP minus bP squa
maria [59]

Solution:

Given :

$\frac{dP}{dt}= aP-bP^2$         .............(1)

where, B = aP = birth rate

            D = $bP^2$  =  death rate

Now initial population at t = 0, we have

$P_0$ = 220 ,  $B_0$ = 9 ,  $D_0$ = 15

Now equation (1) can be written as :

$ \frac{dP}{dt}=P(a-bP)$

$\frac{dP}{dt}=bP(\frac{a}{b}-P)$    .................(2)

Now this equation is similar to the logistic differential equation which is ,

$\frac{dP}{dt}=kP(M-P)$

where M = limiting population / carrying capacity

This gives us M = a/b

Now we can find the value of a and b at t=0 and substitute for M

$a_0=\frac{B_0}{P_0}$    and     $b_0=\frac{D_0}{P_0^2}$

So, $M=\frac{B_0P_0}{D_0}$

          = $\frac{9 \times 220}{15}$

          = 132

Now from equation (2), we get the constants

k = b = $\frac{D_0}{P_0^2} = \frac{15}{220^2}$

        = $\frac{3}{9680}$

The population P(t) from logistic equation is calculated by :

$P(t)= \frac{MP_0}{P_0+(M-P_0)e^{-kMt}}$

$P(t)= \frac{132 \times 220}{220+(132-220)e^{-\frac{3}{9680} \times132t}}$

$P(t)= \frac{29040}{220-88e^{-\frac{396}{9680} t}}$

As per question, P(t) = 110% of M

$\frac{110}{100} \times 132= \frac{29040}{220-88e^{\frac{-396}{9680} t}}$

$ 220-88e^{\frac{-99}{2420} t}=200$

$ e^{\frac{-99}{2420} t}=\frac{5}{22}$

Now taking natural logs on both the sides we get

t = 36.216

Number of months = 36.216

8 0
3 years ago
3(x+3) _x +_
SVEN [57.7K]
Those are all the answers hope this helps.

8 0
3 years ago
Read 2 more answers
At a festival 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys than girls, how many
koban [17]
X=number of girls.
y=number of boys.
We can suggest this system of equations:
2/7 x=3/5 y ⇒10x=21y   ⇒x=21/10 y
y=x-165 

We can solve this problem by substitution method:
x=(21/10)(x-165)
10x=21x-3465
10x-21x=-3465
-11x=-3465
x=-3465 /-11=315

y=x-165=315-165=150

Number of children=number of girls + number of boys
Number of children=315 +150=465

Answer: there were 465 children  at the festival. 
5 0
3 years ago
X+<br><img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20" id="TexFormula1" title=" {x}^{2} " alt=" {x}^{2} " align="absmi
elixir [45]

Answer:

0

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • Daija graphed the relationship modeled by the equation y = 4x.
    5·1 answer
  • 11. The preferred overall competition area in judo, including the mats, is a square with an area of 256 m2.
    6·1 answer
  • When multiplying two fractions, multiply the numerator of one fraction by the ? of the second fraction. this product is placed o
    5·1 answer
  • Solve for x.<br> 4(2x - 1) - 7 = 4 - x + 6
    5·2 answers
  • Jessica gets her favorite shade of purple by mixing 1/3 cup of blue with 1/2 of red. How many of blue and red paint does Jessica
    6·1 answer
  • The results of a recent survey of the students at Rockdale Middle School show that 17 out of every 22 students enjoy the cafeter
    8·1 answer
  • Select all the equations that have 9 as a solution.
    12·2 answers
  • A bag contains the following marbles: 4 black marbles, 14 blue marbles, 8 brown marbles, and 20 green marbles. What is the ratio
    8·1 answer
  • Kaitlin received a $80 gift card for a coffee store. She used it in buying some coffee that cost 8.63 per pound. After buying th
    6·2 answers
  • PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!